Question: 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
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.
| Regression Statistics | |
|---|---|
| Multiple R | 97.28153% |
| R Square | 94.63696% |
| Adjusted R Square | 93.29620% |
| Standard Error | 4.806846736 |
| Observations | 6 |
| 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 | 0.122064001 | 0.908735 |
| Speed | 7.315685846 | 0.870763656 | 8.401459797 | 0.001098 |
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 Hawk should use if he wants to provide a 99% confidence interval for the slope. Assume that conditions for inference are satisfied. (4 points)
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