Question 4: Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. Number Enrolled Number Accepted 2,440 2,800 2,720 611 708 637 2,360 584 2,660 614 2,620 625 a) Using STATKEY or other software. Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer. b) Using STATKEY or other software. Find the least squares regression line for predicting the number enrolled from the number accepted. c) Interpret the slope in of the least squares regression line in context.
Question 4: Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. Number Enrolled Number Accepted 2,440 2,800 2,720 611 708 637 2,360 584 2,660 614 2,620 625 a) Using STATKEY or other software. Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer. b) Using STATKEY or other software. Find the least squares regression line for predicting the number enrolled from the number accepted. c) Interpret the slope in of the least squares regression line in context.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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