## Inferential Statistics for b and r

This section starts with assumptions on the errors that are necessary for statistical inference. Then, it gives an example of a significance test for the slope. Finally, it talks about constructing confidence intervals for the slope and closes with a significance test for the correlation.

### Questions

**Question 1 out of 4.**

Which of the following are assumptions made in the calculation of regression inferential statistics?

The errors of prediction are normally distributed.

X is normally distributed.

Y is normally distributed.

The variance around the regression line is the same for all values of X.

The relationship between X and Y is linear.

**Question 2 out of 4.**

The slope of a regression line is 0.8, and the standard error of the
slope is 0.3. The sample used to compute this regression line consisted
of 12 participants. Compute the 95% confidence interval for the slope.
Type the upper limit of the confidence interval in the box below.

**Question 3 out of 4.**

In a sample of 20, the correlation between two variables is .5.
Determine if this correlation is significant at the .05 level by
calculating the t value.

**Question 4 out of 4.**

Calculate the lower limit of the 95% confidence interval for the correlation of .75 (N = 25).