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Chapter 12: Q. 6 (page 760)

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:α,βandσExplain what each parameter represents in context. Then provide an estimate for each.

Short Answer

Expert verified

a=-0.012701

b=0.017964

s=0.0204

Step by step solution

01

Given Information

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

02

Explanation

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

a=-0.012701

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

b=0.017964

σ is the standard deviation of the actual beers drunk about the population regression line. The estimate ofσis given in the output as

s=0.0204

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