Suppose you conducted a simple linear regression t-test with a null hypothesis that the slope was positive. You obtained a p-value of 0.023. If you were to conduct an F-test that tested for a linear relationship between the one predictor and response what p-value would you expect to obtain?
Answer:
Required p-value = 0.046
For the simple linear regression model with one predictor or independent variable and response or dependent variable, the p-value for the two tailed t-test for slope is equal to the p-value for the F-test for ANOVA. The p-value for the one tailed t test for slope is given as 0.023, so the p-value for the two tailed test is 2*0.023 = 0.046.
Suppose you conducted a simple linear regression t-test with a null hypothesis that the slope was...
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