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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 21PPS
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e) Suppose Admissions has announced that 2,575 students have been accepted this year. Use your regression equation to predict the number of students that will enroll and interpret.
Transcribed Image Text:e) Suppose Admissions has announced that 2,575 students have been accepted this year. Use your regression equation to predict the number of students that will enroll and interpret.
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 Accepted Number Enrolled 2,440 611 2,800 708 2,720 637 2,360 584 2,660 2,620 614 625 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. d) Interpret the intercept of the least squares regression line in context. Does the interpretation make sense?
Transcribed Image Text: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 Accepted Number Enrolled 2,440 611 2,800 708 2,720 637 2,360 584 2,660 2,620 614 625 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. d) Interpret the intercept of the least squares regression line in context. Does the interpretation make sense?
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