For the following date set please find the following:

1)Correlation coefficient

2)What is the value of r^2

3)Explain which correlation coefficient is best suited for these types of variables and which one you used

4)Draw a scatter plot

5)Construct and interpret the regression equation

6)Find the value of the F test (from ANOVA table) and its p-value

7)Write a paragraph explaining the results in as much detail as possible

Age (x) Computer time at home per day in minutes (y)

41 0

52 180

32 10

46 0

29 0

44 90

25 20

51 10

56 30

49 120

37 60

30 0

34 0

47 60

23 0

38 20

41 240

44 150

38 180

38 5

55 128

42 60

32 20

45 15

50 60

29 300

30 240

32 30

27 300

26 180

52 0

53 60

56 10

50 180

34 15

27 60

30 30

34 240

34 240

45 0

25 20

For problems 8 & 9, perform a complete regression analysis.

a)Draw a scatter plot

b)Compute the value of the correlation coefficient (using a calculator)

c) Test the significance of correlation coefficient at the .05 level (using a calculator)

d)Determine the regression line equation if appropriate (using a calculator)

8) The relationship between a father’s age and the number of children he has is studied. The date are shown below. If there is a significant relationship, predict the number of a father whose age is 35.

Father’s Age (x) 19 21 27 20 25 31 32 38

Number of children 1 2 3 0 1 4 3 4

9)A study is conducted to determine the relationship between a driver’s age and the number of accidents he or she has over a one-year period. The data are shown here. If there is a significant relationship, predict the number of accidents of a driver who is 64.

Driver’s Age (x) 63 65 60 62 66 67 59

Number of accidents 2 3 1 0 3 1 4

10) Consider the following ANOVA table, how would you interpret the result?

ANOVA

df SS MS F p-value

Between

Groups 1 7074.415571 7074.416 2.010684 0.01935

Within Groups 8 28147.30043 3518.413

Total 9 35221.716

Write a statement summarizing the results.

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