Regression

Question 1

Residual

Answer 1

Difference between observed and expected value

Question 2

What are the 4 assumptions we make for the regression line?

Answer 2

1. The sample is an SRS
2. Linear relationship
3. The SD of X is the same across the line
4. X and Y are normally distributed

Question 3

What are the three types of confidence intervals for single regression?

Answer 3

1. CI for the slope: tests how well the slope for b0 is estimated
2. CI for the mean: tests how well b0 and b1 are estimated
3. Reliability interval for predictions: tests how well we can estimate an individual value y at x

Question 4

The null hypothesis in a single regression states that ___

Answer 4

x does not influence y
H0: b1=0