00:02
Hello students, according to the given question we have to find the confidence interval.
00:06
So, given the regression equation y cap is equal to 2 .495 plus 0 .528 into x.
00:16
So, here the sum of squares for the errors is given that is 4 .697.
00:23
Here x value is equal to 5.
00:26
Then by substituting y cap is equal to 2 .495 plus 0 .528 into 5 which is equal to 5 .135.
00:38
Now the sum of squares of total value is equal to sum of squares of y that is equal to 8 .8333 and sum of squares of x is equal to 14 .8333.
00:57
Now the sum of squares for the regression that is equal to beta 1 cap into sum of squares of x, y that is equal to 0 .5281 into 7 .8333 from given data that is equal to 4 .1367.
01:18
So, we know that the total sum of squares will be equal to regression sum of squares plus error sum of squares.
01:31
So, then error sum of squares is equal to sum of squares of total minus regression sum of squares.
01:43
So, now by substituting we get 8 .8333 minus 4 .1367 that is equal to 4 .6966...