Scatterplots & Regression (College Board AP® Statistics)

A large bakery decided to conduct some consumer research to determine how much customers liked their products. They asked a selection of new customers (those who had not tried any food from the bakery before) and regular customers (those who regularly bought items from the bakery) to rate 20 different bakery products. Ratings were given on a scale from one to ten, where one was "terrible" and ten was "exceptional." For each bakery product, the average rating by new customers and the average rating by regular customers was calculated, and the scatterplot below was constructed. The horizontal axis represents the rating from new customers, and the vertical axis represents the rating given by regular customers. An individual data point, therefore, represents the rating of a single bakery product.

Which of the following statements is justified by the scatter plot?

A study into the effects of smoking looked at the number of years that a person from the United States had smoked and their lung capacity. It was found that people who had smoked an average of five cigarettes per day for six years were nine times as likely to have a lower lung capacity than someone who had no history of smoking. Which of the following statements could be made about this study?

A scatter plot of exposure to sunlight, in minutes, versus corresponding vitamin D level, in ng/mL, is shown below. One of the points in the graph is labeled A.

If the point labeled A is removed, which of the following statements would be true?

A student's number of hours studied and their corresponding percentage score in a science quiz were recorded. The data resulted in a least squares regression line with the equation and were used to create the residual plot shown below.

Which of the following values is closest to the actual quiz score for the student who had studied for six hours?