QUESTION 7 A university has made a statistical analysis of the relationship between Math SAT scores (ranging from 200 to 800) and first-year GPAs (ranging from 0 to 4.0), for students who complete the first year. The results: average SAT score = 550, SD = 80 average first-year GPA = 2.6, SD = 0.6 r = 0.6 Suppose the percentile rank of one student on the SAT is 80%, among the first-year students. This means his score is better than 80% of the students taking the test. Predict his percentile rank on first-year GPA. The scatter diagram is football-shaped. In particular, the SAT scores and GPAs follow the normal curve. HINT: See Example 3 from the lecture notes. Look in ZTable(see PDF in Course Materials, NOT the one from the textbook) for 0.80(inside the table) to get z = Thus this student's SAT score is SD higher than the average.(Enter the answer in the format A.BC where A, B, C are integers some of which can be 0.) By the regression method, his GPA must be SD higher than the average. (Round to the nearest hundredths. For example, if the answer is 0.214, enter 0.21). (Enter the answer in the format A.BC where A, B, C are integers some of which can be 0.) His percentile rank on GPA is percent. (Round to the nearest percent, if the answer is 18.59%, enter, 19)