Question
In: Statistics and Probability
Demographers have noted that improvements in population health often accompany more general trends in modernization. For...
- Demographers have noted that improvements in population health often accompany more general trends in modernization. For example, as countries take on modern economic functions and their population becomes increasingly concentrated in urban areas, various health indicators improve. One key health metric is the percentage of children who are born prematurely or at low birth weight. Once again, we can use regression analysis to investigate this general argument.
Use SPSS to create a bivariate regression equation where “LowBirthweight” is the dependent variable and “UrbanPop” is the independent variable. The variable “LowBirthweight” assesses the percentage of children born at what is considered “below normal” weight. The variable “UrbanPop” measures the percentage of people in each country who live in cities. The SPSS output for this regression is:
|
Model Summary |
||||
|
Model |
R |
R Square |
Adjusted R Square |
Std. Error of the Estimate |
|
1 |
.309a |
.095 |
.087 |
5.204 |
a. Predictors: (Constant), UrbanPop: Percentage of Population in Cities
|
Coefficientsa |
||||||
|
Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
||
|
B |
Std. Error |
Beta |
||||
|
(Constant) |
14.117 |
1.293 |
10.920 |
.000 |
||
|
UrbanPop: Percentage of Population in Cities |
-.070 |
.021 |
-.309 |
-3.280 |
.001 |
|
a. Dependent Variable: LowBirthweight: Percentage Children Low Birthweight
- Interpret both components of the regression equation.
- Is the slope coefficient in the regression equation statistically significant using a .05 alpha level? Be sure to provide the key information used in reaching your decision.
- Are the results consistent with the argument that urbanization is associated with improved population health? Explain your answer.
Solutions
Expert Solution
- Interpret both components of the regression equation.
When the percentage of Population in Cities is constant, percentage Children Low Birthweight will increase by 14.117, on average.
For every additional percentage of Population in Cities, percentage Children Low Birthweight will decrease by 0.070.
- Is the slope coefficient in the regression equation statistically significant using a .05 alpha level? Be sure to provide the key information used in reaching your decision.
The hypothesis being tested is:
H0: β1 = 0
H1: β1 ≠ 0
The p-value is 0.001.
Since the p-value (0.001) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that the regression equation is statistically significant.
- Are the results consistent with the argument that urbanization is associated with improved population health? Explain your answer.
Yes, because as the percentage of Population in Cities increases, percentage of Children Low Birthweight decreases.
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intensity of the light could predict the time it took a sample of 4
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Intensity
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Light (in watts)
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