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Graduate earnings Does attending college pay back the investment? What factors predict higher earnings for graduates? Money magazine surveyed graduates, asking about their point of view of the colleges they had attended (Money's Best Colleges at new.time.com/money/best- colleges/rankings/best-colleges/). One good predictor of early career earnings (\$/year) turned out to be the average SAT score of entering students. Here are the regression model and associated plots. Write the regression model and explain what the slope coefficient means in this context.

Shoot to score 2016 A college hockey coach collected data from the 2016-2017 National Hockey League season. He hopes to convince his players that the number of shots taken has an effect on the number of goals scored. The coach performed a preliminary analysis, using the scoring statistics from 65 offensive players who had played at least 44 games by the middle of the season. (If you use the data file, note that it includes defensive players as well. Use the variable Offense to select the players in this analysis.) He predicts Goals from number of Shots. Write the regression model and explain what the slope coefficient means in this context.

Brain size Is your IQ related to the size of your brain? A group of female college students took a test that measured their verbal IQs and also underwent an MRI scan to measure the size of their brains (i a. Test an appropriate hypothesis about the association between brain size and \(I Q\). b. State your conclusion about the strength of this association.n 1000 s of pixels). The scatterplot and regression analysis are shown, and the assumptions for inference were satisfied.