(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.

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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.
Transcribed Image Text: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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