Question

From the linear regression data used in Chapter 14.2 #3 and carried forward to #17: (40...

  1. From the linear regression data used in Chapter 14.2 #3 and carried forward to #17: (40 points)

The sample data and regression coefficients were computed as follows

            

Item

1

2

3

4

5

Sums

Means

Yi

7

18

9

26

23

=83

= 16.6

Xi

2

6

9

13

20

=50

= 10

Warning the Xs and Ys are flipped from the way your textbook and my PowerPoint state. But this should not confuse you.

From this data above: The regression line has already been calculated as

= 7.6 +.9

  1. Find the residual (Yi - for each of the 5 points in the regression, square them in the second row. (Similare to Table 14.3 in Textbook.)

Item

1

2

3

4

5

Sums

Yi -  

(Yi -  

SSE =

  1. Find the Deviations between (Yi -   for each of the 5 point in the Y data. Then Square them below and take the sum. (Similar to Table 14.4 in textbook.)

Item

1

2

3

4

5

Sums

(Yi -  

(Yi -  

SST=

From the results above, calculate the following

  1. SSR =

  D. The Coefficient of Determination, aka R2 =

  1. MSE =

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