# Question

An admissions officer claims that at his college the regression equation ŷ = 0.5 + 7x approximates the relationship between y = college GPA and x = high school GPA, both measured on a four point scale.

a. Sketch this equation between x = 0 and 4, labeling the x - and y -axes. Is this equation realistic? Why or why not?

b. Suppose that actually ŷ = 0.5 + 0.7x. Predict the GPA for two students having GPAs of 3.0 and 4.0. Interpret, and explain how the difference between these two predictions relates to the slope.

a. Sketch this equation between x = 0 and 4, labeling the x - and y -axes. Is this equation realistic? Why or why not?

b. Suppose that actually ŷ = 0.5 + 0.7x. Predict the GPA for two students having GPAs of 3.0 and 4.0. Interpret, and explain how the difference between these two predictions relates to the slope.

## Answer to relevant Questions

Refer to the previous exercise. Suppose the regression equation is ŷ = x. Identify the y -intercept and slope. Interpret the line in context. The last time the questions in the previous exercise were asked in the GSS, 955 subjects answered “yes” to both questions, 188 answered “no” to both, 162 answered “yes” to heaven but “no” to hell, and 9 ...For the U.S. Statewide Crime data file on the text CD, let y = violent crime rate and x = percent with a college education. a. Construct a scatter plot. Identify any points that you think may be influential in a regression ...An Associated Press story (February 15, 2002) quoted a study at the University of California at San Diego that reported, based on a nationwide survey, that those who averaged at least 8 hours sleep a night were 12% more ...Go to the Web site for the GSS, www.norc.org/GSS+Website/, click on Documentation, and then click on Sampling Design and Weighting. There you will see described the complex multistage design of the GSS. Explain how the GSS ...Post your question

0