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.
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.
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
Related questions
Question
| 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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