The book Day Hikes in San Luis Obispo County lists information about 72 hikes, including the distance of the hike (in miles), the elevation gain of the hike (in feet), and the time that the hike is expected to take (in minutes). Consider the scatterplot below, with least squares regression line superimposed:

a. Report the value of the slope coefficient for predicting time from distance.
b. Write a sentence interpreting the value of the slope coefficient for predicting time from distance.
c. Use the line to predict how long a 4-mile hike will take.

d. Would you feel more comfortable using the line predict the time for a 4-mile hike or for a 12-mile hike? Explain your choice.
e. The value of the correlation coefficient between time and distance is 0.916, and the value of r² = 0.839. Complete this sentence to interpret what this value means: 83.9% of _____________ is explained by _____________.

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400 Predicted time (min) = -1.266 + 31.48 distance (mi) 300 - 200 100 6. 10 Distance (mi) Time (min) 2.