Test Statistic For Regression Slope
A regression analysis of study time (x, in hours) versus exam score (y, in points) for 32 students yielded a sample slope of b = 3.8, a standard error for the slope of sb = 1.2, and a correlation coefficient of r = 0.65. To test the hypotheses H0: β = 0 against Ha: β > 0, which of the following correctly shows the calculation of the test statistic?
A
t = 0.65√(32-2)/√(1-0.65²) = 4.69
B
t = 3.8/√(1.2) = 3.47
C
t = 3.8/1.2 = 3.17
D
t = (3.8 - 0)/1.2 = 3.17
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