The results of the regressions using 200 observation on a variable Y against X are as follows:
Coefficient Standard error -
intercept 3.62.1
slope 8.11.3
R square = 49%
If an observation on X indicates X = 5 the estimated value of Y would be ________.
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A. B. C. D.A
From the information given, the regression equation is Y = 3.6 + 8.1X + error term. The expected value of the error is zero. Hence, when X = 5, the estimated value of Y equals 3.6 + 8.1*5 = 44.1.
To estimate the value of Y when X equals 5, we can use the regression equation:
Y = Intercept + Slope * X
Given the coefficients from the regression results:
Intercept = 3.6 Slope = 8.1
Substituting these values into the equation, we get:
Y = 3.6 + 8.1 * X
Plugging in X = 5:
Y = 3.6 + 8.1 * 5 Y = 3.6 + 40.5 Y = 44.1
Therefore, the estimated value of Y when X = 5 is 44.1.
The correct answer is A. 44.1.