StatisticsdrillTesting a regression slope
A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.
The task
A simple linear regression on 10 observations gives a slope of b = 0.215 with a standard error of SE(b) = 0.05. Find the t statistic for H0: β = 0 against H1: β ≠ 0, then decide at α = 0.1. Round to 2 decimal places.
What this problem teaches
The formula: t = b / SE(b). Rejecting H0 says the data show a linear relationship. It does not say the relationship is strong or causal.
A hint if you get stuck
t = b / SE(b), with n - 2 degrees of freedom because the line uses up two estimates (slope and intercept).
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Open this problemMore problems in Relationships
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- A/B test: p-value and decision
- Testing a correlation
- Sample covariance
- Standard error of the slope
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