Question: A regression table is shown based on data used to test an association between the amount of sleep someone had the previous night (in hours)

A regression table is shown based on data used to test an association between the amount of sleep someone had the previous night (in hours) and the time needed to complete a paper and pencil maze (in seconds). Sleep is the explanatory variable and time needed to complete the maze is the response.

t-stat p-value Coeff Term SE Intercept 198.33 51.75 3.85 0.0003 -1.03 0.3052 Sleep -7.76 7.50

a. What is the regression equation where time to complete the maze is predicted from the amount of sleep?
b. If we were testing against the alternative hypothesis Î² ‰ 0, what is the p-value?
c. If we were testing against the alternative hypothesis Î² < 0, what is the p-value?

t-stat p-value Coeff Term SE Intercept 198.33 51.75 3.85 0.0003 -1.03 0.3052 Sleep -7.76 7.50

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