Battery life has a strong, negative, linear relationship with temperature. If the least-squares regression line using xx = temperature explains 90% of the variation in battery life, which of the following must be the correlation, rr, between battery life and temperature?

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Mathematics

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21 January, 22:30

Battery life has a strong, negative, linear relationship with temperature. If the least-squares regression line using xx = temperature explains 90% of the variation in battery life, which of the following must be the correlation, rr, between battery life and temperature?

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Answers (1)

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Holly Davis · Answer 1

Answer: - 0.95

Step-by-step explanation:

The value that explains the least-squares regression line is 90% or 0.9, and is also r^2.

You would just square root r^2 and get r=0.948. since the relationship is negative, r = - 0.948, or - 0.95