A researcher has developed a regression model from fourteen pairs of data points.He wants to test to determine if the slope is significantly different from zero.He uses a two-tailed test and $\alpha$= 0.01.The critical table t value is ___.
A)2.650
B)3.012
C)3.055
D)2.718
E)2.168

Question

Quizplus · Accepted Answer

Since the researcher is using a two-tailed test and the significance level is 0.01, the critical table t value can be found using the formula t = tα/2,df where α/2 = 0.005 (half of 0.01) and df = n-2 (degrees of freedom). With 14 pairs of data points, df = 12. Using a t-distribution table, the closest value to t0.005,12 is 3.055, which is choice C.

A Researcher Has Developed a Regression Model from Fourteen Pairs α\alphaα

A Researcher Has Developed a Regression Model from Fourteen Pairs $\alpha$