Answered: The student is constructing a…

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 student is constructing a confidence interval for the slope of the least-squares regression line. Are the conditions for constructing this interval met?

A student is investigating the flight distance and airfare from Boston to several travel destinations. The cities were selected at random from a list of large cities. The scatterplot of airfare vs. flight distance, the residual plot of residual vs. flight distance, and the histogram of the residual values are shown.

Image 1: Attached

Image 2: Attached

Image 3: A histogram of residuals has residual on the x-axis, and frequency of residual on the y-axis. Negative 80, 1; negative 60, 1; negative 20, 1; 0, 4; 20, 3; 40, 1; 60, 1.

A. No, the observations are not independent of one another

B. No, the association between distance and airfare is not linear.

C. No, the distribution of residual values is not approximately Normal.

D. No, the variability in the residuals is not roughly consistent throughout the residual plot.

E. Yes, all of the conditions for the confidence interval are met.