Test Statistic for Regression Slope
A researcher is testing for a significant linear relationship between hours spent studying (x) and exam scores (y). A regression analysis using a sample of size n = 25 yields an estimated slope β̂ = 2.5 with a standard error SE(β̂) = 0.8. What is the appropriate test statistic for this significance test?
A
t = 2.5/0.8 = 3.125
B
z = 2.5/0.8 = 3.125
C
χ² = 25(2.5/0.8)² = 244.14
D
F = (2.5/0.8)² = 9.77
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