Question:
Height is frequently named as a good predictor variable for weight among people of the same age and gender. The following are the raw data and results of a regression analysis of the heights and weights of a sample of 14 males between the ages of 19 and 26 who participated in a study.
|
HEIGHT (cm)
|
WEIGHT (
kgs
)
|
|
185
|
83.9
|
|
180
|
99.0
|
|
173
|
63.8
|
|
168
|
71.3
|
|
175
|
65.3
|
|
183
|
79.6
|
|
184
|
70.3
|
|
174
|
69.2
|
|
164
|
56.4
|
|
169
|
66.2
|
|
205
|
88.7
|
|
161
|
59.7
|
|
177
|
64.6
|
|
174
|
78.8
|
|
Variables Entered/Removed(b)
|
|
Model
|
Variables Entered
|
Variables Removed
|
Method
|
|
1
|
HEIGHT(a)
|
.
|
Enter
|
|
a All requested variables entered.
|
|
b Dependent Variable: WEIGHT
|
|
Model Summary(b)
|
|
Model
|
R
|
R Square
|
Adjusted
R Square
|
Std. Error of the Estimate
|
|
1
|
.689(a)
|
.475
|
.432
|
9.00512
|
|
a Predictors: (Constant), HEIGHT
|
|
b Dependent Variable: WEIGHT
|
|
ANOVA(b)
|
|
Model
|
Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
|
1
|
Regression
|
881.262
|
1
|
881.262
|
10.867
|
.006(a)
|
|
Residual
|
973.106
|
12
|
81.092
|
|
|
|
Total
|
1854.369
|
13
|
|
|
|
|
a Predictors: (Constant), HEIGHT
|
|
b Dependent Variable: WEIGHT
|
|
Coefficients(a)
|
|
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
|
|
Model
|
B
|
Std. Error
|
Beta
|
|
1
|
(Constant)
|
-60.622
|
40.492
|
|
-1.497
|
.160
|
|
HEIGHT
|
.755
|
.229
|
.689
|
3.297
|
.006
|
|
a Dependent Variable: WEIGHT
|
-
Write out the regression equation.
-
If you knew that the height of someone was 162.5, then calculate the weight of that person.
-
What information do you look at in the output to determine whether there is a statistically significant relationship between height and weight in this sample?
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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document
