a) Define the linear regression modelbetweenGRE.Score and Chance.of.Admit (3 points)

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i - Plot the regression (least-square) line on the same plot.(3 points)

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ii - Explain the meaning of the slope and y-intercept for the least-squares regression line in (b). (3 points)

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b) Print the results of this model and interpret the results by following questions:

i -What is the number of observations was the regression run on? (3 points)

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ii -Interpret the R-squared of this regression? (4 points)

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iii -Write the regression equation associated with this regression model? (4 points)

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c) Use the regression line to predict the chance of admit when GRE score 310. (10 points)

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d) Drawing on this linear model between GRE.Score and Chance.of.Admit, what should be GRE score of a student who has 50% of chance of admission? (10 points)

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