Suppose a researcher wants to explain attitudes toward a respondent’s city of residence in terms of duration of residenc

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Suppose a researcher wants to explain attitudes toward a
respondent’s city of residence in terms of duration of residence in
the city and importance attached to weather. The attitude is
measured on an 11-point scale (1= do not like the city, 11= very
much like the city), duration of residence is measured in terms of
the number of years the respondent has lived in the city and
importance attached to weather is measured on an 11-point scale (1=
not important, 11= very important). In a pretest data were
collected from a few respondents. The results of multiple
regression are shown below.


Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
0.968
0.936
0.926
0.849
ANOVA
Model
Sum of Squares
df
Mean Square
F
Sig
1
Regression

Residual

Total
127.081
8.652
135.733
2
12
14
63.540
0.721
88.123
.000
From the above table answer the following question:
a) In the multiple regression equation, Y = b0 + b1X1 + b2X2, with
the symbols having their usual meaning, what are values of constant
and coefficients? What attributes are represented by X1, X2 and
Y?

b) What is the value of unadjusted coefficient of determination?
What it represents?

c) What was the sample size? Justify.

d) Was the regression equation significant at 1% level of
significance? Justify your answer.

e) What are the values of standardized beta coefficients of the
independent variables?