Answer Happy

1 SAT 2 1659 3 1524 4 1760 5 1621 6 1759 7 1801 8 1657 9 1724 10 1782 11 1644 12 1802 13 1728 14 1791 15 1656 16 1610 17 1744 18 1849 19 1851 20 1493 21 1751 22 1695 23 1741 24 1767 25 1897 Income GPA 48600 2.79 31900 2.97 90700 3.48 54400 2.5 108000 2.92 76100 3.76 106600 2.8 53600 3.26 46100 3.89 23300 3.67 108600 3.31 104300 3.16 3.73 83000 66600 69500 3.21 2.8 3.7 59300 52900 3.86 64400 3.91 41100 2.63 89600 2.98 40300 3.45 71200 3.06 116600 2.88 107300 3.96
A researcher studies the relationship between SAT scores, the test-taker's family income (Income), and his/her grade point average (GPA). Data are collected from 24 students. She estimates the following model: (You may find it useful to reference the table.) Click here for the Excel Data File a-1. Estimate: SAT = Bo + B₁Income + B₂GPA + E. (Round your answers to 4 decimal places.) Predicted SAT Ho: B10; HA: B1₁ #0 ⒸHO: B₁ ≥ 0; HA: B₁ <0 ⒸHO: B₁ ≤0; HA: B₁>0 Income + a-2. Choose the hypotheses to determine whether Income is individually significant. GPA Test statistic a-3. Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
a-4. Find the p-value. p-value < 0.01 0.01 s p-value < 0.025 0.025 s p-value < 0.05 0.05 s p-value < 0.10 p-value ≥ 0.10 a-5. At the 5% significance level, is income individually significant? Yes, since we reject the null hypothesis. No, since we reject the null hypothesis. O No, since we do not reject the null hypothesis. Yes, since we do not reject the null hypothesis.
a-9. At the 5% significance level, is GPA individually significant? Ⓒ Yes, since we reject the null hypothesis. O Yes, since we do not reject the null hypothesis No, since we reject the null hypothesis. No, since we do not reject the null hypothesis. b-1. Choose the hypotheses to determine whether Income and GPA are jointly significant. ⒸHO: B1 =B₂ = 0; HA: At least one Bj+0 ⒸHO: B₁=B₂ = 0; HA: At least one Bj<0 ⒸHO: B1-B₂=0; HA: At least one 3 > 0 b-2. Calculate the value of the test statistic. (Round your answer to 3 decimal places.) Test statistic
b-3. Find the p-value. p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 s p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 b-4. At the 5% significance level, are income and GPA jointly significant? Yes, since the F-test is significant. Yes, since all t-tests are significant. Both answers are correct. c-1. Predict SAT Income is $80,000 and GPA is 3.5. (Round final answers to 2 decimal places.) Predicted SAT
c-2. If Income is $80,000 and GPA is 3.5. Construct a 95% prediction interval for the individual SAT score. (Round final answer to 2 decimal places.) Prediction interval to