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 Regression Statistics Multiple R 97 50557 R Square 95 07336 Adjusted R Square 94 08803 Standard Error 3 884894879 Observations 7 df SS MS F Regression 1 1,456 252245 1,456 252245 96 48906 Residual 5 75 46204112 15 09240822 Total 6 1531 714286 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 (2 points) Part B What do the slope and intercept parameters mean using the context of the problem (4 points) 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 (4 points)

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Question: 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

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.

Regression Statistics
Multiple R	97.50557%
R Square	95.07336%
Adjusted R Square	94.08803%
Standard Error	3.884894879
Observations	7

	df	SS	MS	F
Regression	1	1,456.252245	1,456.252245	96.48906
Residual	5	75.46204112	15.09240822
Total	6	1531.714286

	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. (2 points)

Part B: What do the slope and intercept parameters mean using the context of the problem? (4 points)

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. (4 points)

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