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19 June, 10:16

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.

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  1. 19 June, 10:32
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    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.
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