question archive Graduation rate - the percentage of entering freshman attending full time and graduating within 5 years - and what influences it is a concern in U
Graduation rate - the percentage of entering freshman attending full time and graduating within 5 years - and what influences it is a concern in U
Subject:StatisticsPrice: Bought3
Graduation rate - the percentage of entering freshman attending full time and graduating within 5 years - and what influences it is a concern in U.S. colleges and universities. U.S. New and World Report's "College Guide" provides data on graduation rates for colleges and universities as a function of the percentage of freshmen in the top 10% of their high school class, total spending per student, and student-to-faculty ratio. A random sample of 10 universities gave the following data on student-to-faculty ratio (S/F ratio) and graduation rate (grad rate). S/F ratio, x 16 20 17 19 22 17 17 17 10 18 Graduation rate, y 45 55 70 50 47 46 50 66 26 60 a. Draw a scatterplot for this set of data. b. Determine the linear correlation coefficient, r. c. Based on the value of r, is there sufficient evidence to conclude that there is a relationship between the student/faculty ratio and graduation rate? Explain. d. Determine the line of best fit. e. Predict the graduation rate given a student/faculty ratio of 20. f. What is the residual for a student/faculty ratio score of 20? g. What is the coefficient of determination? h. Is the data point (10, 26) an influential observation? Explain. 3. With a set of 8 data points, suppose that you have computed: ) = 2 + 7x, y = 17,r = .305. Predict the value of y for a value of x = 6
