Unit 10

Question 1

Linear Regression Hypotheses

Answer 1

H0 : B = 0, (Explanatory) has NO effect on (response)
HA: B ≠ 0, (explanatory) HAS an effect on (response)

OR
>, (explanatory) has a POSITIVE effect on (response)
<, (explanatory) has a NEGATIVE effect on (response)

Question 2

Conditions (Linear Regression)

Answer 2

1. Independence
2. Residuals are NORMAL
   –> Stat, calc4 THEN “resid” in normal quantile plot (#6)
3. Random
4. The two variables have a LINEAR relationship
   –> Use residual plot (resid) in Y of scatterplot, #1. No pattern = linear, yes pattern = nonlinear

Question 3

Calculations (Linear Regression)

Answer 3

ALWAYS T-test
–> DF = n - 2
When data is given, use calculator
–> enter in lists. Stat, tests, F: LinRegTTest OR G: LinRegTInt

Question 4

T Calculations (Linear Regression)

Answer 4

T = (Slope)/Standard Error slope

Slope +/- critical value * standard error slope