Below is a scatterplot showing the distance between stops on the Coast Starlight Amtrak train from Seattle to Los Angeles versus the time between stops. We know that the mean travel time between stops is 129 minutes with a standard deviation of 113 minutes. The mean distance traveled from one stop to the next is 108 mile with a standard deviation of 113 miles. The correlation is 0.636. (1)  What is the equation for the regression line for predicting travel time between stops? (2)  Interpret the slope in this context. (3)  What is the R? Interpret this value in the context of this question. (4)  The distance between Santa Barbara and Los Angeles is 103 miles. How much time is this trip predicted to take? (5)  The trip between Santa Barbara and Los Angeles actually takes 168 minutes. What is the residual here? Interpret the meaning of this residual.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Below is a scatterplot showing the distance between stops on the Coast Starlight Amtrak train from Seattle to Los Angeles versus the time between stops. We know that the mean travel time between stops is 129 minutes with a standard deviation of 113 minutes. The mean distance traveled from one stop to the next is 108 mile with a standard deviation of 113 miles. The correlation is 0.636.

  1. (1)  What is the equation for the regression line for predicting travel time between stops?

  2. (2)  Interpret the slope in this context.

  3. (3)  What is the R? Interpret this value in the context of this question.

  4. (4)  The distance between Santa Barbara and Los Angeles is 103 miles. How much time is this trip

    predicted to take?

  5. (5)  The trip between Santa Barbara and Los Angeles actually takes 168 minutes. What is the residual

    here? Interpret the meaning of this residual.

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