Question

6. Beer and BAC Refer to Exercise 4. Computer output from the least-squares regression analysis on the beer and blood alcohol data is shown below.

The model for regression inference has three parameters:$\alpha ,\beta and\sigma$Explain what each parameter represents in context. Then provide an estimate for each.

Short answer

$a=-0.012701$

$b=0.017964$

$s=0.0204$

Step-by-step solution

Given Information

Need to find the x-intercepts, slopes, and standard deviation.

Explanation

$\alpha$is the y-intercept, which is also the estimate of the BAC level when 0 beers have been drunk. The estimate of $\alpha$ is given in the column of "Coef" and in the row of "Constant":

$a=-0.012701$

$\beta$ is the slope, which means the estimated BAC level per beer drunk. The estimate of$\beta$ is given in the column of "Coef" and in the row of "Beers":

$b=0.017964$

$\sigma$ is the standard deviation of the actual beers drunk about the population regression line. The estimate of$\sigma$is given in the output as

$s=0.0204$