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In: Statistics and Probability

It is believed that standardized test scores, such as SAT, is a good predictor of first-year...

It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students' GPA. x 1200 1120 1000 1420 1280 750 1100 y 3.2 2.5 2.7 3.5 2.9 2.2 2.3 1. Find the the correlation coefficient. Round your final answer to four decimal places. r = 2. Write the regression equation below. Round all numbers to four decimal places. ˆ y = 3. Using the data shown above, predict a student's first-year GPA when the student scores a 1275 on the SAT. Round your final answer to two decimal places. 4. What percentage of variation in GPAs can be explained by students' SAT scores? Round your final answer to two decimal places. %

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