Interpret the least squares regression line of this data set. Nathan is a food scientist interested in whether bitter flavors, like coffee, become
more tolerable as people get older. He sets up a study in which subjects taste
cups of coffee with varying intensities.
Nathan then writes down the age of each subject, x, as well as the weight of the
coffee (in grams), y, used to make the cup he or she liked best.
Age Grams of coffee
17
39
17
53
21
24
25
46
56
62
The correct least squares regression line for the data set is:
$ = 1.746x + 14.873
Use it to complete the following sentence:
The least squares regression line predicts that if a subject is one year older, he or s
prefers an additional
grams of coffee in their ideal cup.