Question: Simple Linear Regression Assignment Research Question : Is there a linear relationship between minutes per week spent exercising and BMI? A cross-sectional survey was given

Simple Linear Regression Assignment

Research Question: Is there a linear relationship between minutes per week spent exercising and BMI?

A cross-sectional survey was given to 15 individuals, in which they were asked their weight, height, and on average how many minutes per week they spent exercising, The results are shown in the table below.

ID BMI Score Exercise (min/wk.)
1 42 10
2 33 25
3 18 180
4 22 120
5 35 30
6 34 60
7 22 150
8 18.5 145
9 17 180
10 30 70
11 37 35
12 38 60
13 30 80
14 22 190
15 33 90

  1. What are the dependent and independent variables?

2. What is the mean BMI score among participants?

3. What is the mean mins per week spent exercising among participants?

4.Using excel, what is the correlation coefficient (r) between exercise and BMI score? Interpret the direction and magnitude of correlation coefficient.

5..What is the coefficient of determination (r2) for the relationship between minutes per week exercising and BMI score? Interpret this value.

6. Using the formulas below, estimate and write the simple linear regression equation. Show your work!

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