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

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Quizplus · Accepted Answer

The observed t value is 3.752. This can be calculated using the formula t = (b1 - 0) / (Sb1), where b1 is the slope of the regression line, 0 is the hypothesized value of the slope (in this case, 0), Sb1 is the standard error of the slope. The standard error of the slope can be calculated using the formula Sb1 = Se / sqrt(Sxx), where Se is the standard error of the estimate and Sxx is the sum of squares of the independent variable.

A Researcher Has Developed the Regression Equation Y = 2