The least squares regression line for the data is y = 11.80x + 31.68, with a cor

Question

The least squares regression line for the data is y = 11.80x + 31.68, with a correlation coefficient r = 0.93. Which two statements are true about this situation? Choose 2 answers An eruption duration of 2.4 minutes predicts a wait time of 60.0 minutes. An eruption duration of 5.0 minutes predicts a wait time of 90.2 minutes. An eruption duration of 3.5 minutes predicts a wait time of 70.6 minutes. There is a strong linear relationship between the wait time and eruption duration for Old Faithful geyser.

Explanation / Answer

Correct Answer: Option (A) and (D)

Since given X = 2.4, the prediction waiting time is

Y = 11.8*2.4 + 31.68 = 60 min.

The correlation coefficient is rxy = 0.923, determination is 0.9232 = 0.851929 = 85.19% variation in waiting time y is explained by the independent variable Eruption duration.

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