Earning power A college's job placement office collected data about students' GPAs and the salaries they earned in their first jobs after graduation. The equation that can predict salary based on GPA was: salary=2830 + 15300(gpa)
a) Use the regression equation to predict the salary of someone with a 2.9 GPA
b) If an actual data point was (2.9, 46900), calculate the residual of that point.
c) We don't have the data, so we can't graph and look, but we can answer this based on the residual. Was the point (2.9, 46900) above or below the regression line? How do we know?
d) Explain, using words in the context of the problem, what the slope of the regressin line means.
e) Explain, using words in the context of the problem, what the y-intercept of the regression line means. f) If r2=0.882 for this problem, explain what this means by filling in the blanks below: This means that ________% of the variation in ___________________________________ is accounted for by a linear relationship with ___________________________________. 4
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