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Test Statistic For Regression Slope
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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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