ANSWERS

Item 1

Calculate an Analysis of Regression on the following data, where Reading is predicting Education:

Reading     Education
15                 11
7                  8
2                  5
9                  4
4                  4
11                  9

What is the Pearson r: .78

Perform the following calculations:

                            SS           df        ms

Regression         26.04         1      26.04

Error                  16.80         4        4.20

TOTAL              42.84         5        8.57

What is the F for this test:   6.20

Item 2

Calculate an Analysis of Regression on the following data, where TV watching predicts Violence:

Television       Violence
2                       7
4                     14
8                     12
13                       8
16                       5
19                       2

Perform the following calculations:

                             SS           df     ms

Regression         50.86          1     50.86

Error                  47.14          4     11.78

TOTAL             98.00          5     19.60

What is the F for this test:   4.32

Item 3

To discover if TV watching has a significant impact on people’s shyness, use the following information, perform an Analysis of Regression and complete the following summary table:

r= .88

SSx = 50

SSy = 74

N = 12

                        SS        df        ms

Regression       57.31     1       57.31

Error                16.69   10        1.67

Total                74        11        6.73

                        F =       34.33

Is the critical value for F:   4.96

Is the F significant?  Yes

Item 4

To discover if learning statistics has a significant impact on people’s friendliness, use the following information, perform an Analysis of Regression and complete the following summary table:

r= .32

SSx = 30

SSy = 66

N = 15

                         SS        df        ms

Regression         6.76      1         6.76

Error                59.24    13        4.56

Total                66         14        4.71

                        F =       1.48

What is the critical value for F:   4.67

Is the F significant?  No

Item 5

To discover if education has a significant impact on people’s income, use the following information, perform an Analysis of Regression and complete the following summary table:

r= .73
SSx = 98
SSy = 44
N = 13

SS          df          ms

Regression          23.45        1       23.45
Error                   20.55      11        1.87
Total                   44           12         3.67

F = 12.55
What is the critical value for F:    4.84
Is the F significant?  Yes

Item 6

To discover if music lessons have a significant impact on people’s intelligence, use the following information, perform an Analysis of Regression and complete the following summary table:

r= -.56
SSx = 111.3
SSy = 87.8
N = 16

SS          df           ms
Regression      27.53         1        27.53
Error               60.27       14         4.30
Total               87.80       15         5.85