Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Refer to the table of estimated regressions below, computed using data for 1999 from all 420 K-6 and K-8 districts in California, to answer the following question. The variable of interest, test
scores, is the average of the reading and math scores on the Stanford 9 Achievement Test, a standardized test administered to fifth-grade students. School characteristics (average across the
district) include enrollment, number of teachers (measured as "full-time equivalents"), number of computers per classroom, and expenditure per student.
Results of Regressions of test scores on the Student-Teacher Ratio and Student Characteristic Control
Variables Using California Elementary School Districts.
Dependent variable: average test score in the district.
Regressor
Student-teacher ratio (✗₁)
Percent English learners (X2)
Percent elegible for subsidized lunch (X3)
Percent on public income assistance (X4)
(1)
- 2.79**
(0.59)
(2)
- 1.36*
(0.45)
- 0.638**
(0.034)
(3)
- 1.26**
(0.28)
- 0.113**
(0.039)
- 0.507**
(0.027)
(4)
- 1.55**
(0.36)
- 0.484**
(0.038)
- 0.749**
(0.069)
(5)
- 1.33**
(0.23)
- 0.116**
(0.035)
- 0.535**
(0.032)
Compute the R² for each of the regressions.
0.043
(0.059)
694.6**
681.7**
699.4**
701.6**
704.8**
Intercept
(10.8)
(8.3)
(5.6)
(6.7)
(5.2)
Summary Statistics and Joint Tests
SER
18.72
14.47
9.49
11.55
9.14
Ŕ²
0.044
0.492
0.751
0.644
0.763
n
450
450
450
450
450
These regressions were estimated using data on K-8 school districts in California. Heteroskedastic-robust
standard errors are given in parentheses under coefficients. The individual coefficient is statistically significant
at the *5% level or **1% significance level using a two-sided test.
1. The R² for the regression in column (1) is: 0.046
2. The R² for the regression in column (2) is: 0.494
3. The R² for the regression in column (3) is: 0.753
4. The R² for the regression in column (4) is: 0.646
5 The R²² for the regression in column (5) is: 0 765
Next
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Transcribed Image Text:Refer to the table of estimated regressions below, computed using data for 1999 from all 420 K-6 and K-8 districts in California, to answer the following question. The variable of interest, test scores, is the average of the reading and math scores on the Stanford 9 Achievement Test, a standardized test administered to fifth-grade students. School characteristics (average across the district) include enrollment, number of teachers (measured as "full-time equivalents"), number of computers per classroom, and expenditure per student. Results of Regressions of test scores on the Student-Teacher Ratio and Student Characteristic Control Variables Using California Elementary School Districts. Dependent variable: average test score in the district. Regressor Student-teacher ratio (✗₁) Percent English learners (X2) Percent elegible for subsidized lunch (X3) Percent on public income assistance (X4) (1) - 2.79** (0.59) (2) - 1.36* (0.45) - 0.638** (0.034) (3) - 1.26** (0.28) - 0.113** (0.039) - 0.507** (0.027) (4) - 1.55** (0.36) - 0.484** (0.038) - 0.749** (0.069) (5) - 1.33** (0.23) - 0.116** (0.035) - 0.535** (0.032) Compute the R² for each of the regressions. 0.043 (0.059) 694.6** 681.7** 699.4** 701.6** 704.8** Intercept (10.8) (8.3) (5.6) (6.7) (5.2) Summary Statistics and Joint Tests SER 18.72 14.47 9.49 11.55 9.14 Ŕ² 0.044 0.492 0.751 0.644 0.763 n 450 450 450 450 450 These regressions were estimated using data on K-8 school districts in California. Heteroskedastic-robust standard errors are given in parentheses under coefficients. The individual coefficient is statistically significant at the *5% level or **1% significance level using a two-sided test. 1. The R² for the regression in column (1) is: 0.046 2. The R² for the regression in column (2) is: 0.494 3. The R² for the regression in column (3) is: 0.753 4. The R² for the regression in column (4) is: 0.646 5 The R²² for the regression in column (5) is: 0 765 Next
4. The R* for the regression in column (4) is: 0.646|
5. The R² for the regression in column (5) is: 0.765
(Round your response to three decimal places)
Construct the homoskedasticity-only F-statistic for testing ẞ3 = ẞ4 = 0 in the regression shown in column (5).
The homoskedasticity-only F-statistic for the test is: 255.66
(Round your response to two decimal places)
Is the homoskedasticity-only F-statistic significant at the 5% level?
A. Yes.
B. No.
Test B3 B40 in the regression shown in column (5) using the Bonferroni test. Note that the 1% Bonferroni critical value is 2.807.
The t-statistic for ẞ3 in the regression in column (5) is:
Is the Bonferroni test significant at the 1% level?
A. Yes.
B. No.
(Round your response to three decimal places)
The t-statistic for ẞ4 in the regression in column (5) is:
(Round your response to three decimal places)
Construct a 99% confidence interval for B₁ for the regression in column (5).
The 99% confidence interval is: - 1.923
-0.737]
(Round your response to three decimal places)
expand button
Transcribed Image Text:4. The R* for the regression in column (4) is: 0.646| 5. The R² for the regression in column (5) is: 0.765 (Round your response to three decimal places) Construct the homoskedasticity-only F-statistic for testing ẞ3 = ẞ4 = 0 in the regression shown in column (5). The homoskedasticity-only F-statistic for the test is: 255.66 (Round your response to two decimal places) Is the homoskedasticity-only F-statistic significant at the 5% level? A. Yes. B. No. Test B3 B40 in the regression shown in column (5) using the Bonferroni test. Note that the 1% Bonferroni critical value is 2.807. The t-statistic for ẞ3 in the regression in column (5) is: Is the Bonferroni test significant at the 1% level? A. Yes. B. No. (Round your response to three decimal places) The t-statistic for ẞ4 in the regression in column (5) is: (Round your response to three decimal places) Construct a 99% confidence interval for B₁ for the regression in column (5). The 99% confidence interval is: - 1.923 -0.737] (Round your response to three decimal places)
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