Problem 2 a) Is the estimated multiple linear regression model of Sleep with all variables listed in Problem 1 statistically significant at = 001?

A survey of a random sample of 48 students was conducted by a group of statistics students to investigate the relationshipbetween Sleep=average sleep time per night (in hours) and the following variables:

Study =average study time per day (in hours),

CoffeeCups =average number of cups of coffee consumed by a student per day,

and Extra = average number of extra-curricular activities per day

Female (1 =female, 0 = male)

Age=age in years

In the first part of their analysis the students run the simple linear regression of Sleep on Female

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