It is believed that standardized test scores such as SAT is a good predictor of first year college students GPA X y 1200 1120 1000 1420 3 2 2 5 2 7 3 5 2 9 1280 750 1100 2 2 2 3 1 Find the the correlation coefficient Round your final answer to four decimal places T 2 Write the regression equation below Round all numbers to four decimal places 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