Statistics › Section L · Linear regression and correlation › Topic L.4
Testing the significance of correlation
One sample gives one regression line - but another sample would give another. Is the observed relationship real, or the luck of this particular scatter? Inference answers with the familiar machinery: a t test on the correlation or, equivalently, the slope, a confidence interval, and the same reading habits as ever.
In this topic
- Is the line real?
- The population regression model
- Testing the slope
- Worked example: testing r directly
- Worked example: is the study-time slope real?
- The confidence interval for the slope
- Worked example: reading the two together
- Conditions before p-values
- Common mistakes to avoid
- Key takeaways
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