Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.525(a)

.275

.222

181.89029

a Predictors: (Constant), PIONEERS, LANDCULT, AREAFARM

ANOVA(b)

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

514814.087

3

171604.696

5.187

.004(a)

Residual

1356447.158

41

33084.077

Total

1871261.244

44

a Predictors: (Constant), PIONEERS, LANDCULT, AREAFARM

b Dependent Variable: EMGRANTS

Coefficients(a)

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

407.070

226.341

1.798

.079

LANDCULT

-1.685

3.567

-.069

-.472

.639

AREAFARM

-2.132

1.056

-.299

-2.019

.050

PIONEERS

175.968

61.222

.391

2.874

.006

a Dependent Variable: EMGRANTS

a)

How many regions are there in the analysis? _______________________

b)

Give the test statistic and P-value for testing (H0) that none of the predictors are associated with

EMGRANTS____________________

c)

Give the test statistic and P-value for testing whether LANDCULT is associated with EMGRANTS,

after controlling for AREAFARM and PIONEERS_____________________

d)

What proportion of the variation in EMGRANTS is “explained” by the model? ___________________

e)

Give the estimated regression equation ________________________________________________

6.

A researcher is interested in studying the effects of sleep (or lack thereof) on people’s test-taking skills. She samples 20 men and 20 women (all of similar education levels and backgrounds). She randomly assigns the men and women such that 2 0f each sleep 10 hours prior to taking exam, 2 each sleep 8 hours,…and 2 each sleep 2hours. Let Y be the score on a basic exam, X1 be the amount of sleep on the night before the exam, and X2 be 1 if subject was a woman, and 0 if a man. She fits the model: