Test Statistic For Regression Slope
A researcher conducted a regression analysis on the relationship between study time (x, in hours) and exam score (y, in points) for 32 students. The analysis produced b = 3.8, sb = 1.2, and r = 0.65. For testing H0: β = 0 versus Ha: β > 0, which of the following correctly represents the test statistic and its calculation?
A
t = 3.8/√(1.2) = 3.47
B
t = 3.8/1.2 = 3.17
C
t = (3.8 - 0)/1.2 = 3.17
D
t = 0.65√(32-2)/√(1-0.65²) = 4.69
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