Question

A 95% confidence interval for the slope of a regression line is found to be (-0.32, 1.56). Which of the following statements is a valid conclusion from this interval?

The regression line is only valid for values of the independent variable between -0.32 and 1.56.

There is a 95% chance that the true slope of the regression line is positive.

There is sufficient evidence to conclude that the true slope of the regression line is not 0.

There is insufficient evidence to conclude that the true slope of the regression line is not 0.

We are confident that 95% of the data values will fall between -0.32 and 1.56.

Answer 1

The answer is:

There is insufficient evidence to conclude that the true slope of the regression line is not 0.

Since 0 is contained in the confidence interval, therefore there is not enough evidence to conclude that slope of the regression line is not 0 i.e. which means that there is sufficient evidence to conclude that the slope of the regression line is 0.

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