7. The following are the average scores on the mathematics part of the ScholasticAptitude Test (SAT) for some years from 1994 to 2007. Year1994199619982000200220042007Average SAT score504508512514516518515(a) Assuming a linear regression model for the year (X) and SAT score (Y), please findregression coefficients for the linear model Y= A+BX (round to 3 decimal places).(b) Give an interval that, with 95 percent confidence, will contain the average SAT math scorein 2006.(c) At the 10 percent significance level, please test the hypothesis that the year does not affectthe SAT score. In another word, please test that ß = 0.

a) From the given information, X=year Y=Average SAT score Excel Procedure: Enter X and Y data in…

(a) Assuming a linear regression model for the year (X) and SAT score (Y), please f regression coefficients for the linear model Y= A+BX (round to 3 decimal places). (b) Give an interval that, with 95 percent confidence, will contain the average SAT math sc in 2006.

(a) Assuming a linear regression model for the year (X) and SAT score (Y), please f regression coefficients for the linear model Y= A+BX (round to 3 decimal places). (b) Give an interval that, with 95 percent confidence, will contain the average SAT math sc in 2006.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

7. The following are the average scores on the mathematics part of the Scholastic
Aptitude Test (SAT) for some years from 1994 to 2007.

Year
1994
1996
1998
2000
2002
2004
2007
Average SAT score
504
508
512
514
516
518
515
(a) Assuming a linear regression model for the year (X) and SAT score (Y), please find
regression coefficients for the linear model Y= A+BX (round to 3 decimal places).
(b) Give an interval that, with 95 percent confidence, will contain the average SAT math score
in 2006.
(c) At the 10 percent significance level, please test the hypothesis that the year does not affect
the SAT score. In another word, please test that ß = 0.

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