A researcher has developed the regression equation y = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, S_xx= 89.333, and S_e= 3.44. The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05. The observed t value is ___. A) 3.752 B) 3.852 C) 3.972 D) 3.985 E) 3.995

Question

Quizplus · Accepted Answer

The observed t value is calculated using the formula t = b / (Se / sqrt(Sxx)), where b is the slope. Substituting the given values, t = 1.3657 / (3.44 / sqrt(89.333)) = 3.752.

A Researcher Has Developed the Regression Equation Y = 2