Question

In a diet study, the amount of weight lost and the starting weight of each individual was recorded. A scatterplot is provided. The correlation between weight lost and starting weight is 0.934. Since the correlation is so high, we can conclude that Select one: A. the slope of the least-squares line will be much larger than one. B. 93.4% of the variability in weight lost is due to a person?s starting weight. C. there is a strong, positive linear association between starting weight and weight lost. D. a person?s starting weight being high must cause them to lose a lot of weight.

Answer 1

Answer:

C. there is a strong, positive linear association between starting weight and weight lost.

Step-by-step explanation:

Given that in a diet study, the amount of weight lost and the starting weight of each individual was recorded.

A scatterplot is provided. The correlation between weight lost and starting weight is 0.934.

This means that there is a strong positive linear correlation between the amount of weight lost and the starting weight of individual.

From r positive, we can say that slope of regression line will be positive, but cannot definitely say that slope >1. Similarly 93.4^2% of the variability only will be due to the other variable. so options 1 and 2 are wrong.

D is wrong because rate of change of weight is constant being a liner relationship

Hence only correct option is

C. there is a strong, positive linear association between starting weight and weight lost.