df Regression 1 Residual 5 75.46204112 15.09240822 Total 6 1531.714286 SS MS F 1,456.252245 1,456.252245 96.48906 Coefficients Standard Error t Stat p-Value Intercept 13.55330396 8.879163768 1.526416712 0.187432 Speed 8.651248164 0.880723811 9.822884377 0.000186 Part A: Write the equation of the regression line using the regression output. Part B: What do the slope and intercept parameters mean using the context of the problem? Part C: Compute the margin of error that Bailey should use if she wants to provide a 96% confidence interval for the slope. Assume that conditions for inference are satisfied.
df Regression 1 Residual 5 75.46204112 15.09240822 Total 6 1531.714286 SS MS F 1,456.252245 1,456.252245 96.48906 Coefficients Standard Error t Stat p-Value Intercept 13.55330396 8.879163768 1.526416712 0.187432 Speed 8.651248164 0.880723811 9.822884377 0.000186 Part A: Write the equation of the regression line using the regression output. Part B: What do the slope and intercept parameters mean using the context of the problem? Part C: Compute the margin of error that Bailey should use if she wants to provide a 96% confidence interval for the slope. Assume that conditions for inference are satisfied.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Bailey thinks her heartrate will increase as she increases her biking speed. To see if this relationship exists, she records seven different speeds and models it with a scatterplot and regression output.
Pulse, beats per minute
130
120
110
100
90
80
70
7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13
Speed, miles per hour
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
97.50557%
95.07336%
94.08803%
3.884894879
7
Transcribed Image Text:SS
MS
F
Regression 1 1,456.252245 1,456.252245 96.48906
Residual 5 75.46204112 15.09240822
6 1531.714286
Total
df
Coefficients Standard Error t Stat
p-Value
Intercept 13.55330396 8.879163768 1.526416712 0.187432
Speed 8.651248164 0.880723811 9.822884377 0.000186
Part A: Write the equation of the regression line using the regression output.
Part B: What do the slope and intercept parameters mean using the context of the problem?
Part C: Compute the margin of error that Bailey should use if she wants to provide a 96% confidence interval for the slope. Assume that conditions for inference are satisfied.
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