00:01
So, we have been given with the following data set.
00:07
Here, x and y are given and their respective values 8, 4, 6, 12, minus 9, minus 3, 5, minus 11 and the y 2, 3, 28, 33, 1, 2, minus 1 and minus 13 are given.
00:34
So, firstly in the part a, we have been asked the coefficient of determination.
00:47
So, to find this coefficient of determination, firstly we will calculate the summation of x which comes out as 12 after adding all the terms given as x.
01:02
Then we will calculate summation of y which is equal to 55.
01:07
Now we will calculate summation of x multiplied by y.
01:14
So, it comes as 715 after multiplying each x and y and adding them.
01:22
If we calculate summation x square, it comes out as 496.
01:28
Then if we calculate summation y square, it comes out as 2061.
01:34
So, here now the coefficient of determination is denoted by r square...