Question

The data is given as follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation for these data is = 7.6 + .9x. Compute SSE, SST, and SSR (to 1 decimal). SSE SST SSR What percentage of the total sum of squares can be accounted for by the estimated regression equation (to 1 decimal)? % What is the value of the sample correlation coefficient (to 3 decimals)?

Answer 1

Answer:

✓SSE = 127.3

✓SST = 281.2

✓SSR = 153.9

✓percentage of the total sum of squares = 54.73%

✓The value of the sample correlation coefficient= 0.7398

Step-by-step explanation:

Given:

xi :2 6 9 13 20

yi:7 18 9 26 23

The given regression equation = 7.6 + 0.9 x.

we need to calculate the required SSE, SST and SSR , after this The percentage of total sum of squares can be computed. To do this we need to find the square difference between the actual value of y and average value of y, also the difference between actual value and predicted y value.

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION.