The table below shows a set of four regression results of the effect of student-teacher ratio on average test score. Note each column represents the estimates related to each regression. The numbers in parenthesis I are the standard errors. Also, assume all the variables are continuous. Regressor Student-teacher ratio (STR) (1) (2) (3) (4) -1.00 -0.890 -0.757 -0.967 (0.27) (0.23) (0.31) STR*2 (0.24) 0.875 0.865 (0.24) (0.29) * English Leamers (EL) -0.112 -0.095 -0.067 -0.122 (0.033) (0.054) (0.036) (0.057) STRX EL -0.098 0.09 36.89 (0.033) (0.023) (9.31) STR*2 x EL 34.7 (5.60) Intercept 700.2 700.4 659.6 870.2 (5.60) (5.70) (4.60) (4.30) Standard Error of the Regression (SER) 9.08 (Adjusted) R-Squared 9.09 8.64 8.57 0.473 0.478 0.594 0.892 Number of Observations 420 420 420 420 Based on the resuits of this table, which of the follwing statements best describes how the results should be interpreted (consider only individual effects on joint effects)? # ths 0 a There are only significant non-linear effects of class size reduction on test scores. Ob None of these Class size reduction does not have any significant effect on test scores. Od. There are only significant linear effects of class size reduction on test scores. There are significant linear and non-linear effects of class size reduction on test scores.

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The table below shows a set of four regression results of the effect of student-teacher ratio on average test score. Note each column represents the estimates related to each regression. The numbers in parenthesis below the coeffcients
are the standard errors. Also, assume all the variables are continuous.
(3)
Regressor
Student-teacher ratio (STR)
(1)
(2)
(4)
-1.00
-0.890
-0.757
-0.967
(0.27)
(0.23)
(0.31)
(0.24)
STR^2
0.865
0.875
(0.24)
(0.29)
% English Leamers (EL)
-0.122
-0.112
-0.095
-0.067
(0.033)
(0.054)
(0.036)
(0.057)
STR x EL
-0.098
-0.09
36.89
(0.033)
(0.023)
(9.31)
STR^2 x EL
34.7
(5.60)
Intercept
700.2
700.4
659.6
870.2
(5.60)
(5.70)
(4.60)
(4.30)
Standard Error of the Regression (SER) 9.08
(Adjusted) R-Squared
Number of Observations
9.09
8.64
8.57
0.473
0.478
0.594
0.892
420
420
420
420
Based on the results of this table, which of the following statements best describes how the results should be interpreted (consider only individual effects on joint effects)?
Oa There are only significant non-linear effects of class size reduction on test scores.
Ob None of these
o. Class size reduction does not have any significant effect on test scores.
O c.
od. There are only significant linear effects of class size reduction on test scores.
There are significant linear and non-linear effects of class size reduction on test scores.
Oe,
Transcribed Image Text:The table below shows a set of four regression results of the effect of student-teacher ratio on average test score. Note each column represents the estimates related to each regression. The numbers in parenthesis below the coeffcients are the standard errors. Also, assume all the variables are continuous. (3) Regressor Student-teacher ratio (STR) (1) (2) (4) -1.00 -0.890 -0.757 -0.967 (0.27) (0.23) (0.31) (0.24) STR^2 0.865 0.875 (0.24) (0.29) % English Leamers (EL) -0.122 -0.112 -0.095 -0.067 (0.033) (0.054) (0.036) (0.057) STR x EL -0.098 -0.09 36.89 (0.033) (0.023) (9.31) STR^2 x EL 34.7 (5.60) Intercept 700.2 700.4 659.6 870.2 (5.60) (5.70) (4.60) (4.30) Standard Error of the Regression (SER) 9.08 (Adjusted) R-Squared Number of Observations 9.09 8.64 8.57 0.473 0.478 0.594 0.892 420 420 420 420 Based on the results of this table, which of the following statements best describes how the results should be interpreted (consider only individual effects on joint effects)? Oa There are only significant non-linear effects of class size reduction on test scores. Ob None of these o. Class size reduction does not have any significant effect on test scores. O c. od. There are only significant linear effects of class size reduction on test scores. There are significant linear and non-linear effects of class size reduction on test scores. Oe,
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