If the t ratio for the slope of a simple linear regression equation is equal to

Question

If the t ratio for the slope of a simple linear regression equation is equal to 1.614 and the critical values of the t
distribution at the 1% and 5% levels of significance, respectively, are 3.499 and 2.365, then the slope is

not significantly different from zero.

significantly different from zero at both the 1% and the 5% levels.

significantly different from zero at the 1% level but not at the 5% level.

significantly different from zero at the 5% level but not at the 1% level.

please show how you come up with the answer , do not just guess !!!

not significantly different from zero.

significantly different from zero at both the 1% and the 5% levels.

significantly different from zero at the 1% level but not at the 5% level.

significantly different from zero at the 5% level but not at the 1% level.

please show how you come up with the answer , do not just guess !!!

Explanation / Answer

Not significantly different from zero.

This is because the t value is less than the critical values at both 1% and 5%. This means we cannot reject the null hypothesis, which is that the slope is =0

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