Hawk thinks his heartrate will increase as he increases his skateboarding speed. To see if this relationship exists, he records six different speeds and models it with a scatterplot and regression output. 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 Hawk should use if he wants to provide a 99% confidence interval for the slope. Assume that conditions for inference are satisfied.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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Hawk thinks his heartrate will increase as he increases his skateboarding speed. To see if this relationship exists, he records six different speeds and models it with a scatterplot and regression output.

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 Hawk should use if he wants to provide a 99% confidence interval for the slope. Assume that conditions for inference are satisfied. 

120
110
100
90
80
70
60
9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5
Speed, miles per hour
Regression Statistics
Multiple R
97.28153%
R Square
94.63696%
Adjusted R Square 93.29620%
Standard Error
4.806846736
Observations
6
Pulse, beats per minute
Transcribed Image Text:120 110 100 90 80 70 60 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 Speed, miles per hour Regression Statistics Multiple R 97.28153% R Square 94.63696% Adjusted R Square 93.29620% Standard Error 4.806846736 Observations 6 Pulse, beats per minute
df
SS
MS
F
Regression 1 1,630.910231 1,630.910231 70.58453
Residual
4 92.42310217 23.10577554
Total
5 1,723.333333
Coefficients Standard Error
t Stat
p-Value
Intercept 1.301246992 10.66036651
0.1220640010.908735
Speed
7.315685846 0.870763656 8.401459797 0.001098
Transcribed Image Text:df SS MS F Regression 1 1,630.910231 1,630.910231 70.58453 Residual 4 92.42310217 23.10577554 Total 5 1,723.333333 Coefficients Standard Error t Stat p-Value Intercept 1.301246992 10.66036651 0.1220640010.908735 Speed 7.315685846 0.870763656 8.401459797 0.001098
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