1 Final 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 113 62 56 67 88
Posted: Mon Jul 11, 2022 11:43 am
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On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student's score on the final exam. She collects data from 60 students. Click here for the Excel Data File a. Estimate the sample regression equation that enables us to predict a student's final exam score on the basis of his/her math score and the number of hours studied per week. (Round your answers to 2 decimal places. Negative value should be indicated by a minus sign.) Predicted Final = + Ho: B1 B2 = 0; HA: At least one ß; > 0 b-1. At the 5% significance level, are a student's math score and the number of hours studied per week jointly significant in explaining a student's final exam score? First, specify the competing hypotheses. Ho: B1 B2 = 0; HA: At least one ß; < 0 Ho: B1 B₂ = 0; HA: At least one ß; * 0 b-2. Find the p-value. Op-value ≥ 0.10 Math + Hours
b-2. Find the p-value. p-value > 0.10 0.05 ≤ p-value < 0.10 0.025 ≤ p-value < 0.05 0.01 ≤ p-value < 0.025 p-value < 0.01 b-3. What is the conclusion to the test? Ho, we conclude the explanatory variables are jointly significant.
c-1. At the 5% significance level, is each explanatory variable individually significant in explaining a student's final exam score? First, specify the competing hypotheses. Ho: Bj = 0; HA: Bj > 0 Ho: Bj = 0; HA: Bj < 0 Ho: Bj = 0; HA: Bj ± 0 c-2. For each explanatory variable, state the p-value and determine whether the explanatory variable is significant in explaining Final Score. (Round p-value to 3 decimal places.) Explanatory Variables Math Hours p-value Significant in Explaining Final Score