00:01
We have been provided a sample of 10 adult means having their heights and weights.
00:06
Now the first part of this question is to determine the correlation coefficient here and to interpret the value of r in context of the problem.
00:19
Alright, now here r is equal to the correlation coefficient will be equal to the n into submission of x and y minus submission of of x y divided by the square root of x squared minus into square root of n formation y square minus double square right now here x is represent the height and y is for the weight right so all right so here sum of x is the sum of all the heights here and sum of y is some of the total weight values so here some this is equal to 663 and y's this y is equal to 1 439 right x square will be equal to 44059 addition of y square is equal to 29739 and permission x y is equal to 95748 these are all the values we have so r will be equal to here when you put all the values here we have 3 4 2 3 2 divided by 1 0 2 1 to square root of 2 6 6 6 9 that will be equal to 0 .66 6 6 that will be equal to 0 .66 this is the correlation coefficient is 0 .6 is that is height and weight has a moderate positive linear relationship.
03:03
So if there is high an increase in the height, that means that weight also increase.
03:10
Right.
03:11
Now the next part of this question is to provide examples of other lurking variables that may have an effect on weight besides the height.
03:31
All right now the second part we have to find the coefficient of determination that is r square and all right so next we have to find the coefficient of determination and to explain what it means in the context of this problem so here r square will be equal to 0 .66 square that will be equal to 0 .44 so the coefficient of determination is over 0 .44 so this implies the strength of prediction of the weight by using the height.
04:11
So the prediction line height describes 44 % variation in the weight.
04:17
Now the next question is to tell the weight, predict the weight of a man whose height is 60 inches.
04:25
So here height is given as 60 inches...