Consider a train that runs from Seattle to Los Angeles. The mean travel time from one stop to the next is 130 minutes, with a standard deviation of 114 minutes. The mean distance traveled fr stop to the next is 107 miles with a standard deviation of 100 miles. The correlation between travel time and distance is 0.631 . (a) Write the equation of the solutionspile.com

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Consider a train that runs from Seattle to Los Angeles. The mean travel time from one stop to the next is 130 minutes, with a standard deviation of 114 minutes. The mean distance traveled fr stop to the next is 107 miles with a standard deviation of 100 miles. The correlation between travel time and distance is 0.631 . (a) Write the equation of the regression line for predicting travel time. (Let

y

represent travel time in minutes and let

x

represent distance traveled in miles.)

hat(y)=a+130x

(b) Interpret the slope in this context. For each mile increase in distance traveled, we would expect travel time to increase on average by

?

minutes. Interpret the intercept in this context. When the distance traveled is 0 miles, the travel time is expected to be on average

q,

minutes.

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