Calculate an appropriate test statistic for the slope of a regression model.
Example Problems
The school bake sale committee tracked how much they spent on advertising (in dollars) and how much they raised (in dollars) at 8 events. Here is computer output from a least-squares regression analysis:
Regression: sales vs. ad spend
Assume that all conditions for inference have been met.
Write the expression for the test statistic for testing the null hypothesis that the population slope in this setting is .
Regression: sales vs. ad spend
| Predictor | Coef | SE Coef |
|---|---|---|
| Constant | 184.6 | 22.4 |
| Ad spend | 3.85 | 1.02 |
Assume that all conditions for inference have been met.
Write the expression for the test statistic for testing the null hypothesis that the population slope in this setting is .
Coach Reyes tracked back-squat max (in kg) and vertical jump height (in cm) for a random sample of 30 varsity volleyball players. Here is computer output from a least-squares regression analysis on the sample:
Regression: vertical jump vs. squat max
Assume that all conditions for inference have been met.
Write the expression for the test statistic for testing the null hypothesis that the population slope in this setting is .
Regression: vertical jump vs. squat max
| Predictor | Coef | SE Coef |
|---|---|---|
| Constant | 28.5 | 5.10 |
| Squat max | 0.21 | 0.08 |
Assume that all conditions for inference have been met.
Write the expression for the test statistic for testing the null hypothesis that the population slope in this setting is .
Talia gathered data on study minutes spent on Blooket and weekly quiz score (out of 100) for a random sample of 38 students. Here is computer output from a least-squares regression analysis on her sample:
Regression: quiz score vs. Blooket minutes
Assume that all conditions for inference have been met.
Write the expression for the test statistic for testing the null hypothesis that the population slope in this setting is .
Regression: quiz score vs. Blooket minutes
| Predictor | Coef | SE Coef |
|---|---|---|
| Constant | 71.2 | 3.65 |
| Blooket minutes | 0.34 | 0.11 |
Assume that all conditions for inference have been met.
Write the expression for the test statistic for testing the null hypothesis that the population slope in this setting is .
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