Inferential Statistics for b and r

Inferential Statistics for b and r

Questions

Question 1 out of 4.

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

  1. The errors of prediction are normally distributed.
  2. X is normally distributed.
  3. Y is normally distributed.
  4. The variance around the regression line is the same for all values of X.
  5. 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).