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Battery life has a strong, negative, linear relationship with temperature. If the least-squares regression line using...

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?

Using the least-squares regression line, y^=−25.5+1.5xy^​=−25.5+1.5x, what is the residual for the data point at (28,19)?

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Answer #1

R2 = 0.90

Correlation r = √0.90 = 0.9487

Yhat = -25. 5+1.5X = -25. 5 + 1.5 * 28 = 16.5

Residual = 19 - 16.5= 2.5

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