Question

In: Statistics and Probability

Subject BMI Percent Fat 1 21.95 28.70 2 27.75 32.30 3 25.09 25.80 4 19.23 19.60...

Subject BMI Percent Fat
1 21.95 28.70
2 27.75 32.30
3 25.09 25.80
4 19.23 19.60
5 19.60 22.40
6 20.31 26.40
7 22.29 32.70
8 28.65 33.50
9 19.47 23.40
10 21.44 21.80
11 26.85 37.10
12 21.85 30.90
13 23.90 36.30
14 21.54 29.80
15 22.61 31.90
16 18.91 21.60
17 18.46 24.60
18 17.05 20.50
19 17.70 24.60
20 16.61 18.10
21 16.94 22.90
22 18.77 26.20
23 18.39 27.20
24 17.86 17.70
25 17.98 20.80
26 15.37 17.50
27 18.84 21.30
28 15.82 18.70
29 17.71 28.80
30 14.99 17.10
31 16.75 26.20
32 16.46 20.40
33 15.87 19.50
34 18.08 21.70
35 15.58 18.10
36 17.15 29.80
37 15.82 20.60
38 18.61 22.90
39 16.66 19.30
40 20.83 27.90
41 24.56 36.40
42 20.19 25.10
43 24.13 39.70
44 20.86 33.60
45 33.57 46.80
46 29.14 38.90
47 26.17 36.70
48 31.46 38.50
49 19.08 23.30
50 23.54 35.90

Perform a regression analysis to see if body fat percentage is a good predictor of BMI. Use Excel or statistical software and be sure to include the following:


a) A scatterplot.
b) A correlation measure r.
c) The graph of the regression line on the scatterplot
d) The regression equation.
e) A discussion that explains how well body fat works as a predictor of BMI

Solutions

Expert Solution

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Therefore, the correlation measure is of the correlation output is .

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Interpretation:

The scatterplot and the regression line delineates the positive linear relationship between the two quantitative variables Percent bod fat (X) and BMI (Y). Since, the data points are scattered upwards and we can decide that the relatioship is strong positive linear relationship.

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