Using a Graphing calculator or spreadsheet program create a least squares regression line of the tuition for 4  years versus the average salary after 10 years, define any variables that you used.  • Identify and interpret the correlation coefficient and coefficient of determination.   • By looking at the least squares regression line, determine the college that you believe is the best value. Explain  your reasoning.   • Using the college (Harvard University) you chose, identify and interpret its residual based on the least squares regression model.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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2a) • Using a Graphing calculator or spreadsheet program create a least squares regression line of the tuition for 4  years versus the average salary after 10 years, define any variables that you used. 
• Identify and interpret the correlation coefficient and coefficient of determination.  
• By looking at the least squares regression line, determine the college that you believe is the best value. Explain  your reasoning.  
• Using the college (Harvard University) you chose, identify and interpret its residual based on the least squares regression model. 

Average Salary ($)
140,000
130,000
120,000
110,000
100,000
90,000
80,000
70,000
60,000
●
Average Salary of College Graduates
50,000
100,000
150,000
4-Year Tuition ($)
200,000
250,000
Transcribed Image Text:Average Salary ($) 140,000 130,000 120,000 110,000 100,000 90,000 80,000 70,000 60,000 ● Average Salary of College Graduates 50,000 100,000 150,000 4-Year Tuition ($) 200,000 250,000
College Name:
Harvard University
Princeton University
Yale University
Current Yearly
Tuition:
$55,587
$56,010
$59,950
Columbia University
$63,530
Cornell University
$61,015
Brown University
$62,304
Dartmouth College
$60,870
University of Pennsylvania $61,710
SUNY Buffalo
Massachusetts Institute of $55,878
Technology
$10,782 (In-state)
Tuition (4 years
total):
$222,348
$224,040
$239,800
$254,120
$244,060
$249,216
$243,480
$246,840
$223,512
$43,128 (In-state)
Median Student
Loan Debt for
Graduates:
$12,665
$9,623
$13,142
$29,757
$14,500
$13,000
$17,000
$16,763
$25,080
$13,254
Average Salary After 10
Years:
$136,700
$95,689
$88,655
$89,871
$91,176
$78,943
$91,627
$103,246
$111,222
$62,022
Transcribed Image Text:College Name: Harvard University Princeton University Yale University Current Yearly Tuition: $55,587 $56,010 $59,950 Columbia University $63,530 Cornell University $61,015 Brown University $62,304 Dartmouth College $60,870 University of Pennsylvania $61,710 SUNY Buffalo Massachusetts Institute of $55,878 Technology $10,782 (In-state) Tuition (4 years total): $222,348 $224,040 $239,800 $254,120 $244,060 $249,216 $243,480 $246,840 $223,512 $43,128 (In-state) Median Student Loan Debt for Graduates: $12,665 $9,623 $13,142 $29,757 $14,500 $13,000 $17,000 $16,763 $25,080 $13,254 Average Salary After 10 Years: $136,700 $95,689 $88,655 $89,871 $91,176 $78,943 $91,627 $103,246 $111,222 $62,022
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