Question

baruti, a ranger in kruger national park in south africa, collected data about the elephant population in the park. she compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatterplot and regression line. the fitted line has a slope of 5.89. what is the best interpretation of this slope? choose 1 answer: a on average, each 1 centimeter increase in foot length was associated with a 5.89 centimeter increase in shoulder height. b on average, each 1 centimeter increase in shoulder height was associated with a 5.89 centimeter increase in foot length. c we would predict an elephant with a foot length of 0 centimeters to have a shoulder height of 5.89 centimeters. d we would predict an elephant with a foot length of 0 centimeters to have a shoulder height of 0 centimeters.

Explanation:

In a regression - line context, the slope represents the change in the response variable (shoulder height in this case) for a one - unit change in the explanatory variable (foot length). Here, the foot length is the explanatory variable and shoulder height is the response variable. So, for every 1 - centimeter increase in foot length, the shoulder height increases by 5.89 centimeters on average.

Answer:

A. On average, each 1 centimeter increase in foot length was associated with a 5.89 centimeter increase in shoulder height.