Given the following five points: (-2,0), (-1,0), (0,1), (1,1), and (2,3). What is the standard error of the estimate?
A) 0
B) 0.135
C) 0.367
D) 0.606

Question

Quizplus · Accepted Answer

The standard error of the estimate measures the accuracy with which a regression line represents the data points. It's calculated based on the differences (residuals) between the observed values and the values predicted by the regression line. Given the points, without the explicit regression equation, we can't calculate the exact value here, but the standard error of the estimate is typically greater than 0 unless all points lie perfectly on the regression line, which they do not in this case. Thus, among the provided options, 0.606 (D) is a plausible value for the standard error, indicating some degree of scatter around the regression line.

Given the Following Five Points: (-2,0), (-1,0), (0,1), (1,1), and (2,3)