A climbing gym franchise is planning to install a new climbing wall at one of its locations. To help decide on the optimal height for the new wall, the location manager looked at usage patterns for the existing climbing walls.

Question

For each wall, he looked up the height (in meters), x, and the number of gym members who had climbed it last year, y.
The least squares regression line of this data set is:
y= –277.408x + 5,107.001

Complete the following sentence:
The least squares regression line predicts that for each additional meter of height, a wall would have been climbed by _________ fewer gym members

Answer 1

277.408 fewer gym members.