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.

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 β ‰  0, what is the p-value?
c. If we were testing against the alternative hypothesis β < 0, what is the p-value?

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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