Question

Beer and BAC How well does the number of beers a person drinks predict his or her blood alcohol content (BAC)? Sixteen volunteers aged $21$or older with an initial BAC of $0$took part in a study to find out. Each volunteer drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their BAC. A least-squares regression analysis was performed on the data using x=number of beers and y=BAC. Here is a residual plot and a histogram of the residuals. Check whether the conditions for performing inference about the regression model are met.

Short answer

Normal, equal variance, random, independent, and linear are the five requirements for regression inferences.

Step-by-step solution

Step  1 : Given Information

We have to explain that whether the state for performing inference about the regression model are met or not.

Simplification

Normal,equalvariance,random,independent,andlineararethefiverequirementsforregressioninferences.

The reason for this is that the histogram is bell-shaped.

The reason for this is that the vertical spread of points in the residual figure is roughly the same everywhere, therefore equal variance is satisfied.

The explanation for this is that the subjects were assigned at random. Because the respondents were randomized at random, independent: satisfied. Because all points in the residual figure are centred around zero, the linear condition is satisfied.

As a result, all states or requirements have been met.