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# Interchanging two rows in a contingency table will not have an effect on the chi- - page 5 / 13

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### The following 4 Problems are based on this information

The following EXCEL output produces the analysis of variance,  regression coefficients, standard errors and t-tests for a simple linear regression:

ANOVA

df

SS

MS

F

P-value

Regression

1

77272

77272

2659

.00000

Residual

16

465

29

Total

17

77737

Coefficient

Standard Error

t Stat

P-value

Intercept

41.7

2.25

18.5

.0000

X

9.6

0.19

51.6

.0000

11.

What is the most precise statement we can conclude at the =0.05 significance level with respect to the linear association between Y and X?

a)  There is no association between X and Y

b)  There is an association, but we cannot determine the direction

c)  There is a positive associaton

d)  There is a negative association

12.

Give the fitted (predicted) value when  X=12.

a)    41.7    b)    9.6          c)    51.3         d)     426.6      e)    137.7

13.

Give the estimated residual standard error (deviation), S.

a)     2.25    b)    0.19            c)    5.39          d)   465          e)      29

14.

What proportion of the variation in Y was “explained” by the regression model?

a)     .9940           b)       .0060       c)  .19            d)      .0000         e)    2659

3.  A realtor is interested in the determinants of home selling prices in his territory. He takes a random sample of  36 homes that have sold in this area during the past 18 months, observing: selling PRICE (Y), AREA (X1), BEDrooms (X2), BATHrooms (X3), POOL dummy (X4=1 if Yes, 0 if No), and AGE (X5). He fits the following  models (predictor variables to be included in model are given for each model):

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