APFIVE Test Statistic for Regression Slope
A researcher wants to test whether there is a significant linear relationship between hours spent studying (x) and exam scores (y). The regression analysis yields β̂ = 2.5, SE(β̂) = 0.8, and n = 25. What is the appropriate test statistic for determining if there is a significant linear relationship?
A
t = 2.5/0.8 = 3.125
B
z = 2.5/0.8 = 3.125
C
F = (2.5/0.8)² = 9.77
D
χ² = 25(2.5/0.8)² = 244.14
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