Question
In: Statistics and Probability
The following SPSS output shows the relationship between height and age using a sample of 50...
- The following SPSS output shows the relationship between height and age using a sample of 50 male children aged between 12- 24 months old in a developing country X.
|
Model |
Coef. |
Std. Err. |
t |
Sig |
[95% Conf. Interval] |
|
|
age |
0.55331 |
0.094072 |
5.88 |
0.000 |
0.369 |
37.478 |
|
_cons |
45.4448 |
4.074696 |
11.152 |
0.000 |
37.478 |
82.473 |
-
- What is the independent and dependent variables?
-
- What is the value of the intercept?
-
- What is the regression equation?
-
- How will each additional month of age affect the height?
-
- Predict height when age of a male child is 18 months old
-
- If R2 = 0.4559, p< 0.001, what does that mean?
-
- Predict height of a male child whose age is 3 months. How would you conclude the results?
Solutions
Expert Solution
Solution:
a. What are the independent and dependent variables?
Answer: The independent variable is the Age of male children aged between 12 - 24 months old.
The dependent variable is the Height of male children aged between 12 - 24 months old.
b. What is the value of the intercept?
Answer: The intercept is 
.
c. What is the regression equation?
Answer: The regression equation is:
d. How will each additional month of age affect the height?
Answer: Each additional month of age increases the height by 0.55331 units.
e. Predict height when the age of a male child is 18 months old.
Answer: 
f. If R2 = 0.4559, p< 0.001, what does that mean?
Answer: The R2 of 0.4559 means 45.59% of the variation in the dependent variable is explained by the regression model and the p-value < 0.001 means the regression equation is significant.
g. Predict the height of a male child whose age is 3 months. How would you conclude the results?
Answer: It would not be accurate to predict the height of 3 months male child because the regression equation is based on the male child aged 12 - 24 months
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