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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