Table 9.7 shows the SAT scores (600–2400) and college GPAs (four-point scale) for 24 second-year college students at a highly selective college. Use a simple regression model to estimate the relationship between these variables. Explain your answers to these questions:

a. Which variable did you use as the dependent variable?

b. Is the relationship statistically significant at the 5 percent level?

c. Is the estimated relationship of any practical importance?

d. Do you think that your least squares equation can be used to make reliable GPA predictions for a student with a 1200 SAT score?

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SAT GPA SAT GPA SAT GPA SAT GPA 1900 3.60 2060 3.00 2200 3.80 2260 3.30 1950 3.27 2080 3.80 2210 3.40 2280 3.60 1990 2.40 2090 3.00 2240 3.80 2300 3.80 2010 3.40 2100 3.73 2250 3.83 2300 3.80 2020 3.70 2100 3.60 2260 3.75 2340 3.83 2050 3.80 2190 3.50 2260 3.92 2350 3.75