Use the information in Exercise 1 to test the hypotheses H 0 : 1 = 0

Use the information in Exercise 1 to test the hypotheses H₀: β₁ = 0 vs. H_A: β₁  ≠ 0. What do you conclude about the relationship between earnings and SAT scores?

Data From Exercise 1

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.

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Response variable is: Earn R squared = 30.7% s = 5603 with 706 - 2= 704 degrees of freedom Variable Intercept 14468.1 SAT 27.2642 Coefficient SE(Coeff) 1777 1.545 Residuals 20000 10000 0 -10000 t-ratio 8.14 17.6 P-value <0.0001 <0.0001 40000 45000 50000 55000 Predicted