Regression Analysis Practice Questions

# Regression Analysis Practice Questions - ECO 221 Spring...

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ECO 221, Spring 2014 Rollins College Prof. M. Vidovic Practice Questions – Least Squares Regression 1. A consumer organization has reported test data for 50 car models. We will examine the associations between the x = weight of the car (in thousands of pounds) and the y = fuel efficiency (in miles per gallon). a. Does a scatterplot of the data suggest a linear relationship between x and y ? b. Calculate the slope and intercept of the least squares line and write out the equation of the regression line. c. What is the predicted fuel efficiency when vehicle weight is 3 thousand pounds? d. Compute the correlation coefficient and interpret. e. Compute the coefficient of determination and interpret. f. Compute the first 3 residuals. g. What is the value of s e ? Interpret the s e . h. Below is the residual plot. Are there any features of the plot that indicate that a line is not an appropriate description of the relationship? -5 0 5 Residuals 2 2.5 3 3.5 4 Weight 2.

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