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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