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jordynj6363
05.05.2020 •
Mathematics
Consider the following regression output where the dependent variable is testscores and the two explanatory variables are the student-teacher ratio and the percent of English learners:
TestScore = 698.9 - 1.10 x STR - 0.650 x PctEL.
You are told that the t-statistic on the student-teacher ratio coefficient is 2.56.
1. The standard error therefore is approximately .
A) 0.43
B) 0.650
C) 0.25
D) 1.96
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Ответ:
The correct option is (A).
Step-by-step explanation:
The multiple linear regression equation is given by,
, where α = constant and β
= slope coefficients of regression line.
To test if there is a important relationship amid X
and Y, we use the t-statistic test.
The t-statistic for regression coefficient analysis is given by,
The regression equation for test scores dependent upon the two explanatory variables, the student-teacher ratio and the percent of English learners is:
A t-test for the significance of the regression coefficient of variable student-teacher ratio (STR) is conducted.
The test statistic is found to be, t = 2.56.
The regression coefficient of variable STR is, 1.10.
Compute the standard error of the regression coefficient as follows:
The standard error of the regression coefficient is 0.43.
Thus, the correct option is (A).
Ответ: