The relationship between the cost of a taxi ride (y) and the length of ride (x) is analyzed and is determined to be linear. The mean length was 3.9 miles with a standard deviation of 0.8 mile(s). The mean cost was $9.49 with a standard deviation of $1.7. The equation of the regression model is: =2.53+ 1.79 x Find the correlation coefficient r. What does the correlation coefficients tell us? (please circle all that are true) The linear relation between x and y is positive The linear relation between x and y is negative Suppose the critical value is 0.5798. (please circle all that are true) The correlation coefficient is significantly different from zero. The linear relation between length of ride and the cost is strong. The correlation coefficient is NOT significantly different from zero. The linear relation between the length of ride and the cost is weak. Explain in context what the number 1.79 in the regression model means. Explain in context what the number 2.53 in the regression model means. You take a cab ride for 6 miles. What is the predicted charge using the regression model? Then the driver charges you $15. Did you over- or under- estimate the charge? If so, how much did you over- or under- estimate? Given the standard deviation of your cost variable, is the $15 charge unreasonable? Explain using z-scores.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The relationship between the cost of a taxi ride (y) and the length of ride (x) is analyzed and is determined to be linear. The mean length was 3.9 miles with a standard deviation of 0.8 mile(s). The mean cost was $9.49 with a standard deviation of $1.7. The equation of the regression model is: =2.53+ 1.79 x

- Find the correlation coefficient r.
- What does the correlation coefficients tell us? (please circle all that are true)
- The linear relation between x and y is positive
- The linear relation between x and y is negative
- Suppose the critical value is 0.5798. (please circle all that are true)
- The correlation coefficient is significantly different from zero.

- The linear relation between length of ride and the cost is strong.
- The correlation coefficient is NOT significantly different from zero.
- The linear relation between the length of ride and the cost is weak.
- Explain in context what the number 1.79 in the regression model means.
- Explain in context what the number 2.53 in the regression model means.
- You take a cab ride for 6 miles. What is the predicted charge using the regression model?
- Then the driver charges you $15. Did you over- or under- estimate the charge? If so, how much did you over- or under- estimate?
- Given the standard deviation of your cost variable, is the $15 charge unreasonable? Explain using z-scores.