Number 1 Say that you want to use simple linear regression to model the relationship between...

Number 1 Say that you want to use simple linear regression to model the relationship between the explanatory variable x= the number of alcoholic drinks consumed per week, and the response variable y= number of hours of exercise per week. You collect data on n=52 people, and find the regression line ŷ=10-0.3x.

(2 pts) What is the theoretical model underlying your regression analysis?
(4 pts) Say that Lorenzo has six alcoholic drinks a week. Predict how many hours he will exercise a week. (Only do a pointwise prediction; there’s no need to find a margin of error.)
(3 pts) In fact, you learn that Lorenzo exercises twelve hours a week. What is the residual of this observation?
(3 pts) Interpret the slope of the regression line.
(3 pts) Say that you learn that the standard error for ?1 is ???1=0.4. Find a 95% confidence interval for the slope.

Expert Solution

orchestra answered 2 years ago

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Number 1 (15 pts) Say that you want to use simple linear regression to model the relationship between the explanatory variable x= the number of alcoholic drinks consumed per week, and the response variable y= number of hours of exercise per week. You collect data on n=52 people, and find the regression line ŷ=10-0.3x. (a) (2 pts) What is the theoretical model underlying your regression analysis? (b) (4 pts) Say that Lorenzo has six alcoholic drinks a week. Predict how...

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