Use the regression output below for the percent of the population in a country t
ID: 3366067 • Letter: U
Question
Use the regression output below for the percent of the population in a country that uses cell phones and their GDP, in hundreds of billions of dollars for the remaining problems.
Simple linear regression results:
Dependent Variable: Cellular %
Independent Variable: GDP
Cellular % = -5.1903692 + 2.2401829 GDP
Sample size: 12
R (correlation coefficient) = 0.89519511
R-sq = 0.80137429
Estimate of error standard deviation: 13.217362
Parameter estimates:
Parameter
Estimate
Std. Err.
Alternative
DF
T-Stat
P-value
Intercept
-5.1903692
6.4584427
0
10
-0.80365646
0.4403
Slope
2.2401829
0.35268218
0
10
6.3518461
<0.0001
Analysis of variance table for regression model:
Source
DF
SS
MS
F-stat
P-value
Model
1
7048.3827
7048.3827
40.345949
<0.0001
Error
10
1746.9865
174.69865
Total
11
8795.3692
12. Specify the line of best fit from the regression output.
13. Specify the slope of the regression line and interpret it in context of the data.
14. Specify the intercept of the regression line and interpret it in context of the data.
Parameter
Estimate
Std. Err.
Alternative
DF
T-Stat
P-value
Intercept
-5.1903692
6.4584427
0
10
-0.80365646
0.4403
Slope
2.2401829
0.35268218
0
10
6.3518461
<0.0001
Explanation / Answer
(12) y = -5.190 + 2.240x
(13) Slope = 2.240
%Cellular increases by 2.24 for every unit increase in the GDP
(14) Intercept = -5.190
Intercept has no practical meaning in the context of this problem.
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