Answered: Estimate: SAT = β0+ β1Income + β2GPA At…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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SAT	Income	GPA
1651	47000	2.79
1581	34000	2.97
1790	90000	3.48
1626	60000	2.5
1754	113000	2.92
1754	71000	3.76
1706	105000	2.8
1765	59000	3.26
1786	50000	3.89
1686	27000	3.67
1790	107000	3.31
1707	109000	3.16
1804	81000	3.73
1712	62000	3.21
1607	72000	2.8
1738	63000	3.7
1790	55000	3.86
1796	64000	3.91
1547	47000	2.63
1692	89000	2.98
1711	42000	3.45
1689	70000	3.06
1740	118000	2.88
1940	113000	3.96

A researcher studies the relationship between SAT scores, the test-takers family income (Income), and his/her grade point average (GPA). Data are collected from 24 students. A portion of the data is shown in the accompanying Excel

Estimate: SAT = β₀+ β₁Income + β₂GPA
At the 5% significance level, are income and GPA individually significant? Show the relevant steps of each test, using the critical value approach.
At the 5% significance level, are income and GPA jointly significant? Show the relevant steps of the hypothesis test, using the critical value approach.
Predict SAT if Income is $80,000 and GPA is 3.5. Use these values for the explanatory variables to construct the 95% prediction interval for the individual SAT score.

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