A study investigated the possible link between body mass index (BMI) and plasma testosterone concentrations in...

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A study investigated the possible link between body mass index(BMI) and plasma testosterone concentrations in a sample of 50adolescent males between the ages of 14 and 20. Please see columnslabeled BMI and testosterone in your HW5a spreadsheet.
Report the null and alternate hypothesis
Examine the assumptions of normality for the response variableas well as evenness of residuals (show and interpret a residualplot)
Show a scatterplot of the data with the best-fitting line
Report run the regression and report test statistic, df, and Pvalue
Do you accept or reject the null? Interpret your results in oneor two sentences.
BMI Testosterone
21.4 0.78
19.0 0.70
18.3 0.63
19.5 0.60
20.9 0.60
23.4 0.69
25.0 0.76
24.1 0.58
24.2 0.50
22.6 0.48
20.4 0.49
16.2 0.43
17.8 0.42
21.0 0.38
18.6 0.35
20.9 0.35
22.4 0.32
23.5 0.31
18.8 0.28
19.3 0.25
19.5 0.23
20.2 0.24
21.2 0.24
21.3 0.26
22.2 0.27
28.3 0.30
27.7 0.24
28.1 0.19
29.2 0.17
33.3 0.18
33.2 0.23
34.7 0.24
35.8 0.06
37.0 0.15
37.0 0.17
39.0 0.18
41.6 0.17
42.4 0.15
47.7 0.12
45.7 0.25
41.5 0.25
38.0 0.25
38.1 0.32
37.8 0.35
34.9 0.37
34.8 0.39
34.7 0.46
32.0 0.49
31.9 0.42
30.5 0.36

Answer & Explanation Solved by verified expert

3.6 Ratings (399 Votes)

Hey I have used Excel of solving this as it is better toequipped to handle regressionNull hypothesisHo 1 0slope coefficient is zero ie there exists no linearrelationship between testosterone and BMIAlternative hypothesisHa 1 0There exists a linear relationship and slope is notzeroThis your data and residuals and predicted valuesBMITestosteronePredicted See Answer

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BMI	Testosterone
21.4	0.78
19.0	0.70
18.3	0.63
19.5	0.60
20.9	0.60
23.4	0.69
25.0	0.76
24.1	0.58
24.2	0.50
22.6	0.48
20.4	0.49
16.2	0.43
17.8	0.42
21.0	0.38
18.6	0.35
20.9	0.35
22.4	0.32
23.5	0.31
18.8	0.28
19.3	0.25
19.5	0.23
20.2	0.24
21.2	0.24
21.3	0.26
22.2	0.27
28.3	0.30
27.7	0.24
28.1	0.19
29.2	0.17
33.3	0.18
33.2	0.23
34.7	0.24
35.8	0.06
37.0	0.15
37.0	0.17
39.0	0.18
41.6	0.17
42.4	0.15
47.7	0.12
45.7	0.25
41.5	0.25
38.0	0.25
38.1	0.32
37.8	0.35
34.9	0.37
34.8	0.39
34.7	0.46
32.0	0.49
31.9	0.42
30.5	0.36