 Okay. Okay. So the first question is calculate the slope. So remember, you can either use your calculator or you can use the formula and the formula to calculate the slope. We dealt with them yesterday. The slope is B1 and it's calculated by using all these complex formulas that are here to remove all these other things. So that is the slope, B1. So it's calculated by using the sum square measures of x and y, which is this formula here at the bottom, and divide by the sum square measures of x, which is that formula at the bottom. So we're going to be using those two formulas. I'm going to give you time. We need to be calculating B1, which is the sum x, y minus the sum of, I can start with an x, sum of x times the sum of y divided by n divided by the sum of x squared minus sum of x of squared divided by n. You can use that. Then it means if you're going to use the formula, you need to multiply x with y, and then once you are done with x times y, you write the total. So yeah, we will have a total and that total is the same as the sum. It will be that value you substitute there. Then the next one is say sum of x. So it means you need to add all the x values and there you will calculate the total and that will give you the total of sum of x. And the sum of y as well, you have to add all of them and calculate it and it will give you the sum of y. Your n will be how many there are. You just count how many you have. One, two, three, four, five, six, seven, eight. We have eight and that will give you your n and your substitute. Your sum of x squared, you will have to create x squared and square each x value. So one squared, two squared, three squared, four squared and once you get the answer, you add all of them. That will give you the sum of your x squared. And then when you're done with that, you can press the arrow quickly. Then when you are done, you substitute, you calculate and it will give you that. Otherwise, if you are using your calculator, you should calculate using the, you should calculate using the state mode one. And if you have already calculated it and you know the answer, you can tell us what the answer and you can also tell us how you calculated it. If you calculated it manually, like with the formulas, also you just need to let us know that you use the formula so that then it saves us a lot of time to get all the values. Hi ma'am. I use my cashier. Okay. So if you use the cashier, it's good. It's quick. Did you get the answer? Sorry? Yes. Your answer was option number. Or what was your answer? Not a true or false question. We will do it together. Don't worry. I just want to see what answer did you get? Anyone? Or are you still busy calculating? Hello ma'am. Can you hear me? Hello. Yes, I can hear you. Yes, sorry. I have a challenge with the network. Sorry. The answer that I found was minus 1.26. Minus 1.26. Okay. Yes. No problem. Are you busy calculating? Okay. So the others are quiet. So we can work through the one on the cashier, on the phone. I also want to show you on the phone how to get to the sam-sam. Oh, sorry. I'm saying the phone on the calculator. The sam-sam values. Okay. So take this a little bit up. I'm going to capture all the data from my calculator. I'm doing the step. My one is 3. And I'm doing the line, which is AX plus B. And I just need to capture all the values onto the calculator. So 1 equals 2 equals 3 equals 4 equals 6 equals 8 equals 9 equals 11 equals and go to the other side, 23 equal, 22 equal, 20 equal, 15 equal, 17 equal, 14 equal, 18 equal. May I just join you now? So may you please show me how do you enter all the information, the data? Do you use cashier or what kind of calculator do you have? I'm using cashier. So your cashier will be different to my one. I'm going to start from here. Mine is FX and 8 to MS. Yeah. So it will be different to my one. So all the calculators, they look almost exactly the same, even though it's cashier. Okay. So you need to press mode. Press mode. And I guess on your calculator step is on number two, right? Yes. Yes, it's number two. SCAT is on number two. Press the two button. Yes. And you should see a diagram like this. And that says A plus BX. You see that one? No, it doesn't have that one. What does it have? No, it displays SD on top. And what else? There should be another one at the bottom. What does it show? Nothing is showing here. Okay. Press mode. Mode. What do you see? Comp one, SD two, reg three. Yeah. Press reg. Reg is number three. Yeah. Press reg. And do you see something that looks like my one? Okay. There's, yeah, there's lean log X. And then power invoice, squat and... No, but do you have one way it says A plus BX? Let me check. No, it doesn't have... Uh-uh. Did you press three for reg for the ERG? Press mode button. Yeah. Press the mode button. You set on the mode button. When you're pressing it, you're seeing zero for comp. Yes. And you're seeing two, one for something. What do you see? One for comp. Two is SD. Three is reg. Yeah. Press three for reg. Press three, which is the regression. Okay. Press three. Yes. I did. And then what do you see? Number one is lean. Number two is log. And then number three is EXP. Okay. The number one is lean. L-I-N. L-I-N. Okay. Press the lean. Yeah. It's fine. Press the lean. Lean. Yeah. It's change to red, but nothing is shown here. What do you see? Okay. Let me check something here. But if I press mode for the second time, it's showing something else here. That's number one of showing fix. Number two is the SCI. Number three is NUM. And then the other one is show number one, this and cont. Continuous. No, no, no. I don't know what is happening on your calculator, but if you are using the FX82ZA, is it the same calculator? 82MS, my. MX. MS. H. Then it means you will have to calculate manually for now until I see what your calculator looks like, because when you press the mode function on your calculator, it should show you the STAT button with the number that corresponds to that. And if you press the number that corresponds to the STAT button, where on my one it shows S3, which takes my calculator to SD. The first one, it should be your SD, which is your descriptive statistic. Okay. The second one, it should give you the line or your regression. It should say L-I-N-E line. Okay. So since yours, when you press mode, it doesn't give you STAT. It gives you either you need to press the reg or E. So when you press the reg, it should give you a table or it should be able to capture the data on your table. Capturing your data, you will use at the bottom of your calculator, you should have STO and you should have an M+. Yeah, there is M+. Yeah. Is there an STO there? No. What is next to M+. What is the button next to M+. No. Are you on WhatsApp? Yes, I am. On our WhatsApp group. Can you take a picture of your calculator and post it on the WhatsApp group? I will check on it later on now and then I will help you with the steps. But for now, let us continue with this exercise. After this exercise, then I will check the picture on the WhatsApp. Okay, no problem. Yeah, post it there now. Okay, so let's capture our data. If I go mode and I go three for STAT and I press the two for the linear regression and I get the table, I just capture the information. One equal, two equal, three equal, four equal, six equal, eight equal. Oscar, do you want to say something? Okay, eight equal, nine equal and 11 equal. Then we're going to capture the other information like this. 23 equal, 22 equal, 20 equal, 15 equal, 17 equal, 14 equal, 15 equal and eight equal. And I should be captured. All the data should be captured. Now we're ready to calculate V1. Remember our formula, our linear regression equation is V0 plus V1x. And on our calculator, it is A plus Vx. So it means for V1, I'm going to be pressing B. So shift and go to STA button and I need to press the REC button, which is button number five and press five. And yeah, I have A, B and C and the X and the X squared and the Y. So I'm looking for B. So pressing B, which is two and I press equal and the answer I get is not minus one point, this says minus 1.15, not minus 1.16. So let's see if I go back shift and I go back stand. I want to see my data to see if I captured the data correctly as well. So it's 1 and 23, 2 and 22, 3 and 20, 4 and 15, 6 and 17, 8 and 14, 9 and 15 and 11 and 8. The data is captured correctly. Then why am I not getting the right answer as the one on the answer sheet? So mode, I need to go start and we press five, four and we press two and press equal. I'm still getting the same minus 1.26, it's actually minus 1.2 recurring five. Maybe let's go back and see if your data was captured correctly. I did shift. I did go check my data is captured correctly, set one and I go to data, which is two. It takes me back to the table. 1 and 23, 2 and 22, 3 and 20, 4 and 15, 6 and 17, 8 and 14, 9 and 15, 11 and 8. Since I have two calculators, it's fine. We can always check with the other calculators as well. So mode, let's go back to normal, take it to state mode, which will be 1 and I'm looking for 1 for a plus bx. I have the table completed, second function shift. Okay, so I can capture the data. I'm going to try and see if I can capture the data, which is 1. I'm not going to allow me to capture the data. Okay, 1 and 23, and it doesn't want me to capture it that way. I must just do it this way. 1, 2, enter, 3, enter, 4, enter, 6, enter, 8 equals, 9 equal, 11 equal. So there are 8. Let's go to the top, 23 equal, 22 equal, 20 equal, 15 equal, 17 equal, 14 equal, 15 equal, and the last one is 8 equal. Okay, so since we have all of them, now what we need to do is to go on and off the calculator and calculate our b1. And with this calculator, it's easy because all of them are on 1, and we're looking for 1, which is that. And on this one, I get minus 1.256. So my case here is not working well. And this, it gives me the correct information. Now, all I wanted to say also, to get this sum sum from using the table as well, because sometimes somewhere in the question they might ask you to make, to choose the correct answer, and maybe one of the options is the summation of x and y is whatever the amount. You need to make sure that you know how to do that. So once we have captured your data, you can also find the sum sum. If I press sum, I go back to the stat, let's go out. If I press alpha and I go back to stat, and if I click on zero for stat, it will give me the other measures. So let's go to zero, and I press equal. Oh, sorry, zero, then it gives me my n, which is eight. It will give me the mean of x, which is 5.5. It will give me my standard deviation, and it will give me my variance. And if you scroll down, it will give you the population in case if the question was for the population standard deviations, you will get those, but at the moment, we're not interested at those ones. Oh, sorry. And then it will also give you your sum of x, and you can see there the sum of x, which is that value. So if we go to the formula here, we can already start populating the values. So this is the sum of x. So b1 equals minus, we know the sum of x, it says it's 44 times the sum of, we can find the sum of y. If we go down, we should get the sum of y. The sum of y is 134 divided by n. And we can also find the sum of some sum of x and y, which is 624. Oh, sorry. This is n is eight. So we know that we got it at the beginning. Sum of x squared is somewhere at the top. Sum of x squared is 132 minus the sum of x, which is 44 squared divided by eight. As you can see, if you calculate this, you should get also minus 1.26. I just want to see why on this one, we're not getting the right answers. If I go shift and we go to stat, on here you do have also what we call the sumsums. The sumsums are those summations. So if I press three, you should get all of them. So if I want, let's say I want the sum of x, y, which is button number five, and I press equal 624. I must go back, number three, and I want the sum of x, which is button number two, and it's 44. And if I go back, sum of, we go shift, set, three. And I want sum of y, which is button number four, and I press equal, I get 134. I need sum of x, y squared. Let's go back, shift, set, three for sum, sum of x squared. And that will be the sum of x squared, which is button number one, which is equals to 332, which is the same as what we have. So I don't understand why my answer for D1 is not waking. So if all the values match, we should be getting the same value of B. Sum, set, reg is five, shift, set, button number five for reg, and I see there is two for B, and I press equal. I still get the wrong answer. Okay. Okay. Just want to restart it and see, maybe it's the function, set is three, two, and I want to capture them again. One equal, two equal, three equal, four equal, six equal, eight equal, nine equal, 11 equal, 22 equal, 20 equal, 15 equal, 17 equal, 14 equal, 15 equal, eight equal. And I've captured all the values. Go out, shift, set, and I want reg, which is five, and I press two, and I press equal. And wow, it works. There we go. And the answer is that. So now I have my data on both calculators, and they are waking fine. So sometimes it's just the setting on your calculator. You just need to pay your calculator. Some calculators have a reset button at the back. If things are not waking well, you just reset your calculator from the back, and everything will be, will be on kidori. Okay. So that's how you calculate the slope. Now we need to go and calculate the intercept, which is B, B1. Remember, your intercept is your B0 is equals to your mean of Y minus your B1 times the mean of X. Have you calculated it? Remember what B1, you found it, it was that number. And remember when you have your answers, you can keep all the values on your calculator. You don't have to. Okay. So on your calculator, what do you get? Let me see before, before I do it on the calculator. I got 23.66. 23.66, that's what you got. So let's see. On your calculator, I also got 23.66. Sorry. I also got 23.66. Yes, because on your calculator, if you have already stored your values onto the calculator, you just press shift and press that and go back to rank five and then go and answer A, which is one and press equal, which is 23.66. If you don't have this kind of a calculator, you're doing it manually. Remember, you would have calculated your means. So in this instance, I'm going to use the sum sums, which is three. So I remember that your mean of Y is the sum of Y divided by N, which in this instance, you will have it, it will be the sum of Y will be on button number four. And remember, we calculated all this. I'm not going to repeat them. It was 184. So we found that it was 134 divided by eight. And that will give you your mean. Your mean of X will be the mean of X will be the sum of X divided by N. And we calculated that was 44 divided by eight. And that's all what you do. So I can just calculate them manually. So 134 divided by eight gives you 16.75. 44 divided by eight equals, and that gives us 5.5. And what we do, we just come to the formula and substitute. 16.75 minus our B1, our B1, we found it, it was minus 1.255 number, some number times 5.5. So just 16.75 minus into bracket. I can also do it this way. I can say shift set, and I can go find five. And I can go find two. And I can just put the there. And I can multiply that with 5.5. Please don't disappoint me. E equals 3.65. So you can use your calculator shortcuts. Find a way to use your calculator to do most of these calculations in the exam. Remember, exams are time based. So try and see where you can cut off on most of the time when you do the calculations. Okay. So what do you get for number 3? It asks for the regression. Remember, also you can also use formulas or you can use your calculator. Remember, I got 0.85. You get 0.85, which will be option number E. So let's see if we get 0.85. Shift one, and you go back to rec, which is five. And we're going to press number C, which is R. Number three, R, not what I did. Shift set number five. And we press three for rec. And we press equal. And I get a minus. Let's go to my other calculator. Since I know that my case shows sometimes X up. The answer is still correct. Yes. Shift set. We have to square it. Yes. Oh, yes, yes, yes. So we calculate R squared. Yes, you're right. So this is the R, not the R squared. So we need to square it. You are well wide awake. And when we press equal, we get 0.85. Remember when you press the R, you just need to press the X squared button. Oh, yes. Yes, yes, yes. This is coefficient of determination R squared. Okay. So before we move to, we can also move to the R so that then I can help the other person. So I already found R. So by just pressing the square of that answer will give me R. But the problem here will be it will take away the negative sign. So the best way to do it is to always go back and get the actual value, which is R is on button number three will be negative. So we shouldn't always use the shortcut. Because yesterday you said you just divided square root it and then I got to 0.92. Yes, you can square root it, but you must remember the sign in front. Yes, you must remember the sign. So if you do the shortcut, when you do the square root, it takes, it will not take into consideration the sign because the square root will also only work with the positive value that you have on your R squared. So what you do if you don't know what the value of R is, but you have calculated your B, you have calculated your B1. B1 and your R are always telling you the direction of your slope. So because B1 tells you the direction of the slope, it also tells you whether it's the negative slope or a positive slope. As much as when the regression tells you the strength of the slope, whether it's positive or negative and is it strong or weak, it will always have a sign corresponding to one another. So if you are not sure, let's say you didn't calculate R. You were given R squared, but you calculated B1. So based on the value you got on B1, using your R squared to find your R, you are going to put the sign which will be the same as your slope. So if your slope was negative, it means your R value will be negative. If your slope was positive, it means your R will be positive. So there are always shortcuts. But you need to be very careful when you use them as well. Thank you. Yes. So we've calculated this and it is minus. As you can see, they both appear on the answers. So if you did, if you took a shortcut and didn't take into consideration the negative, you will choose D as your answer, and it will be wrong. So the answer is C. Okay, before we move on, I just want to make sure that I help the person who is using the case yours SVPAM. This is those old, old, old case your calculators before the modern one with the fraction. So on your one, are you there? Is that person there? Doesn't look like he's still here, no? Are they gone? It looks like he left. Oscar. Was it Oscar? Yes. Okay, it's fine. I will get hold of him later and then I will try and explain his calculator to him. It's always nice if I see the kind of a calculator because then it will guide me what kind of steps I can help you with. All right. Okay, cool. So let's move on to the next one. Now the next one, we don't have to use the calculator because they are not giving us the table. Are they giving us the summations, which means they have calculated all the sums and then they are asking you to calculate the slope. So we know what the slope is, so you just need to calculate your slope. The b1 is equals to the sum of x and y minus the sum of x times sum of y divided by n divide everything by the sum of x squared minus the sum of x squared divided by n. Sorry, ma'am. I have 0.23. You have 0.23, which is that one. Okay. Also got the slope. Okay. So since I have a casual calculator just to show those ones, I need to take the calculator to normal mode 2269 minus, why do I have so many minuses? 75 times 300 divided by 10 divided everything by 645 minus 75 squared divided by 10 equal. So change values, answer is 0.2303, which here we have the answer to 2 decimal, which is 0.23. Okay. Calculating b0, remember b0 is 0 is your mean minus b1 times the mean of x. And have you got the answer? Ma'am, I have 28.27. You have 28.27. So what I've done is I didn't change the calculation that I did on the calculator. So what I did with that, I added some of the values. Since I am calculating the mean, I know that my formula on the mean is the mean is 300 of y. It will be 300 divided by 10 minus our b1, which we calculated using the same formula. So I didn't change it. So the whole thing in the bracket is by b1. Multiply that with the mean of x, which is 75 divided by 10. And if I get to the answer, let's see if I get the same answer as you. And the answer is 28.27, which is next one is to calculate the coefficient of determination. Coefficient of determination. I'm going to go to the exercise we did last time because we did write the formula down. Because I remember that that formula is very, very long, which is b0 times, you must write it down, b0 times the sum of y plus b1 times the sum of x and y minus your sum of y squared divided by 10, or divided by n, sorry, divided by n. Everything divided by the sum of y squared minus the sum of y divided by, or sum of y squared divided by n. We'll go into our question. Let me rewrite that. b0 times the sum of y plus b1 times the sum of xy minus the sum of y n divided by, remember, we're calculating r squared here. n squared, which is the sum of y squared minus sum y squared n. And that is the formula. So just substitute in the values and then you do the calculations. b, b1, we need to go back to those where you see it was, what was b1? 0.23, 0.3, 0.3. Oh, you have all those numbers. 0.23, 0.3, 0.3, 0.3 times the sum of y, which is times 300 plus b1. We did calculate it just now and we found that it was 28.27. Sorry, we're making a mistake. b1 and b0 is actually in wrong places. Yes. Oh, in the formula. Yes. b0 times b1. Okay, sorry. When I'm substituting, I'm substituting the wrong values. This should be 28.27, 27. 27. This should be 0.23, 0.3, 0.3 times our sum x, y, which is 2269 minus our sum of y divided by, I'm going to assume that it's also still going to be 10. We're still using the same 5 to 9. It uses 10 divided by 10 is divided by 10. Divide everything by sum of x squared, which is 9609 minus the sum of x, which is 300 squared divided by 10. The answer, so if you see on my calculator right now, that is the answer. When it turns the exponent to the power of a negative number, it means they are 3, 0. 1, 0 before the comma and 2, 0 after the comma. Alternatively, to make sure that you see what the value actually looks like, you can add 1 to this value and always remember that you added 1 so that it makes sure that it takes away the exponential value. So remember this is 0.007, which makes it option number G. So every time you see a value that ends with multiply 10 to the power minus 4 or minus 3, it means there is 1, 0 before the comma and they are 3, 0. So you will count 4, 0. 1 will be before the comma leaving. If it's minus 3, it will be 2, 0 after the comma. 1 before and 2 after the comma. If it's 5, it will say 1, 0 before and then 4 after the comma, something like that. So they will always be 2, 0s before that number that you see and then the number will proceed. So if I take away the 1, it will take me back to the exponential value as well. Okay, so that is how you will calculate the values and get to the bottom of the answer. Okay, then go into the next one, which is 8 and we will almost be done. It means today we might also finish early. So 8 asks you to calculate the coefficient of correlation, which is r squared. Now you can use this answer that you got, which is 0.0, this answer that we have and take the square root of it. My answer is no longer there. You can take the square root of the answer you have, which was 0.0071 and some odd number. I'm just going to use those four digits and that will give you your coefficient of correlation. You will need to go to the slope, which is b1 and take. The slope was positive, so it's fine. Therefore, it means the answer you will get there will be positive and the answer is 0.08. So just to make sure that you know where the sign is after you take the square root, go to the slope and see what the value of the slope is. But since you are writing an exam and exam has 25 questions and all questions come from all the chapters or study units that you are doing, you might find there are only two questions in the exam relating to the study unit, study unit 11. Or there might also be one question relating to study unit 11. Okay, so in terms of theory, like we did yesterday, you need to know how to interpret or decipher some of the values. So here they give you the equation of a straight line and they also give you this coefficient of determination. So the question, like we did yesterday, remember, you need to know how to explain the coefficient of determination. You need to know how to interpret if we substitute the values into the formula. You need to know how to interpret the value of the slope. You need to be able to interpret how you estimate the values. Sorry, ma'am. On this one, I got a bit stuck because if you look at the first one, it says the value of y when x is equal to zero. So if I then substitute x into zero, that means it's going to be 0.23, which then gives you that answer, correct. This is correct. Yes, but then if you remember the question is asking you to find the incorrect answer. The incorrect answer. Okay. Yes. Okay, so this is correct. If I substitute zero there, then this disappears. y will be equals to 28.37. That's correct. You got it. Okay. But that's not the answer we're needing. We're looking for. We're looking for the one that is incorrect. So you go to the next one. Do the same. You substitute the value of two. Where you see x, you put two. I'm not getting the same answer there. The answer is 28.73, which makes that the incorrect. And this makes this the incorrect. Yes. And remember, you can stop there and move on to the next question. But lucky enough, this might be the last question in your exam and your four marks weighs on it. You can just continue and carry on if you still have enough time. But you are looking for the incorrect and that is the incorrect one. Similar to the C, the total variation of y. Remember this one. Now they put it correctly. Yesterday it was the total variation in x was explained by y. So this one it says the total variation in y is explained by x, which then this is correct. If you go to the one for yesterday, you will see the difference. And that is where you need to know how to explain the values. So you see the total variation in x was explained by y. And that is why this was incorrect. And we were looking for the correct answer. So that is correct. And this one says the value of y is y when x is equals to one, it will be equals to that. So if I change this to one, that will be equals to that because that will be, is that correct or incorrect? I think here they don't make it. Does it make sense? That is correct. Oh, yes, it is correct. Yes, it is correct. Yes, it is. Yes, it will be correct. And the last one it says when the unit increases, the other one increases by. So we know that when we add a unit increase, it means when we add one, it will increase by that number because the number is positive. It will increase. If this was negative, it will say it will decrease by zero comma two three because if I add zero comma two three, it will decrease the value of your y. Remember we calculate in the y? It will decrease if the answer for this one was negative. But since it's positive, it means the value of y will increase by that number. So which means that is correct. And the last, last, last one, and then we can call it equips. So at least we are right on time. We don't have to spend two hours online. Which of the following statement is incorrect with regards to the coefficient of correlation? So now you need to know the coefficient of correlation and how to interpret it. And remember that coefficient of correlation, which is r, lies between minus one and one. And if it's minus one, it is perfectly negatively correlated. If it's one, it's perfectly positively correlated. If it's zero, there is no relation, then the others are in between. There is a weak relationship. There is a strong relationship or we can also say strong on this, on this thing. We can say it's strong. We can say it's strong because, and you need to, to interpret r. So between zero, let's say zero and 35, we say it is weak. We did this. You got this. We can check. Since you're saying it's a, we're going to start from the bottom, we'll work from bottom up so that we end up with a. Okay. Number e, a coefficient of correlation closer to zero indicates a weak linear relationship. If this was zero comma zero two, it is not zero, but it's closer to zero. So this will be a weak relationship. Since anything between zero and 35, whether it's negative 25 or positive 35, anything that is closer to zero will be a weak relationship. A coefficient of correlation closer to one refers to a stronger relationship. Like I said, if it's 0.99, there is a strong relationship. It's not one. It's not perfectly, but it's at least stronger. So we call this strong relationship. A negative coefficient correlation shows a negative relationship. We've just covered it. If it's negative, it means the relationship is negative. A positive, like we said, if the value is positive, it will show a positive relationship. So it shows a positive relationship between the two values. A coefficient of correlation takes the values ranging between zero and one. That is the range for their coefficient of correlation. Incorrect. Complete our session for today. Thank you for coming and thank you for joining. Please make sure that you complete C, D, and E activities for preparation for your exams. You don't have to do all of them, but the questions are there. You can do it online or you can do it on hard copy paper that we have given you as your lecture has given the questions and posted them on this site. And they are also online. In case you want to know the feedback immediately because I don't think there are feedback on the, yeah, so online you will get the feedback to know whether you did it right or wrong because you will get the answers from there after you have submitted. You will immediately get, when you press the submit button, it will give you your responses as answers for the correct answers or not. Otherwise, thank you guys for coming through. I will post today and yesterday's videos later today. You can check them if you want to check again how we did some of the calculations or some of the steps. Thank you and all of the best. Enjoy the rest of your weekend. Same with you ma'am. Thank you ma'am. Enjoy your day. Just a quick question ma'am. Are we having sessions for the coming week? Yes. Every week until you go write the exam, Fridays and Saturday, you're going to be going through the assessment. Oh, that's the other thing I forgot to do because we were supposed to do chapter seven or is it six? No, chapter seven until study unit seven until study unit eleven in this week. But because of the email that came from your lecture to say you can do the assessments online, I thought, let's do the assessments this week and then I will post the assessment for chapter six or study unit six until study unit eleven during this week. So we will do that on Friday and Saturday. I will post them tomorrow or today. Probably I will post the assessment today so that you have it available for the rest of the week. You can go through it. We will go through it together as well on Friday and on Saturday. It's best if you go through it on your own so that then when we come together, you can see where you went wrong and go fix your mistake. Then the following week, I will do a timed assessment or not the time assessment. We will do another assessment which will do chapter one and chapter until for the full study unit and then closer to the exam, I will do the timed one so that you sit and do your assessment for two hours. It will expire after two hours once you have started. So you need to make sure that you have enough time to do your assessments. This is just to train you for the next exam that is coming so that you can pace yourself and be able to do your assessment online. That's it. It's just for practice papers and after every assessment, we will come together. We will go through the exercise together and do the answers together and I will show you how to work it out, how to answer it, where you can take shortcuts and where you cannot take shortcuts and so forth. Okay. Thank you very much, ma'am. Enjoy your day. Thank you ma'am. Enjoy your day. Bye. Bye. Bye. Thank you.