If the t ratio for the slope of a simple coefficient of a simple linear regressi

Question

If the t ratio for the slope of a simple coefficient of a simple linear regression equation is –2.48 and the critical values of the t distribution at the 1 percent and 5 percent levels, respectively, are 3.499 and 2.365, then the slope is Select one: a. not significantly different from zero. b. significantly different from zero at both the 1 percent and the 5 percent levels. c. significantly different from zero at the 1 percent level but not at the 5 percent level. d. significantly different from zero at the 5 percent level but not at the 1 percent level.

Explanation / Answer

We observe t ratio = -2.48

It lies below the critical t of 3.499 and 2.365 in both the cases (this would be a one tailed test)

So the null hypothesis of no relationship in the population (r = 0) cannot be rejected

Hence, the correct answer is a. not significantly different from zero.

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