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An admissions officer claims that at his college the regression

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.

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