Record your responses to the following 6 questions in the Word document. 1) List (and label) the dependent variable and the independent variable. 2) Based on the regression results, if a county's percent of the population with at least a high school diploma increases by 1, by how much and in what direction does a county's Median Income change? 3) What is the predicted MedInc for a HSDegree of 70 percent? 4) What proportion of the variation in MedInc is explained by our regression model (explained by variation in HSDegree)? 5) Suppose you want to test for a statistically significant relationship between HSDegree and MedInc. Write down the null hypothesis and alternative hypothesis that incorporates the coefficient associated with HSDegree. 6) Calculate the 95% confidence interval for the HSDegree coefficient. Based on this confidence interv is there a statistically significant relationship between HSDegree and Medlnc? Here is a helpful link with an example of calculating a confidence interval for the slope: rva

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
HSDegree (%)
0.661239831
0.437238114
0.426619965
5817.447016
df
55
1
53
54
SS
MS
F
1393586976 1393586976 41.17837515
1793662558 33842689.78
3187249534
Significance F
3.90258E-08
H
Lower 95.0% Upper 95.0%
Coefficients Standard Error t Stat
P-value Lower 95%
Upper 95%
-43629.84739 13510.08986 -3.229426883 0.002131768 -70727.65602 -16532.03875 -70727.65602 -16532.03875
1021.539037 159.1916795 6.41703788 3.90258E-08 702.2409637 1340.837111 702.2409637 1340.837111
J
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept HSDegree (%) 0.661239831 0.437238114 0.426619965 5817.447016 df 55 1 53 54 SS MS F 1393586976 1393586976 41.17837515 1793662558 33842689.78 3187249534 Significance F 3.90258E-08 H Lower 95.0% Upper 95.0% Coefficients Standard Error t Stat P-value Lower 95% Upper 95% -43629.84739 13510.08986 -3.229426883 0.002131768 -70727.65602 -16532.03875 -70727.65602 -16532.03875 1021.539037 159.1916795 6.41703788 3.90258E-08 702.2409637 1340.837111 702.2409637 1340.837111 J
Record your responses to the following 6 questions in the Word document.
1) List (and label) the dependent variable and the independent variable.
2) Based on the regression results, if a county's percent of the population with at least a high school
diploma increases by 1, by how much and in what direction does a county's Median Income change?
3) What is the predicted MedInc for a HSDegree of 70 percent?
4) What proportion of the variation in MedInc is explained by our regression model (explained by
variation in HSDegree)?
5) Suppose you want to test for a statistically significant relationship between HSDegree and MedInc.
Write down the null hypothesis and alternative hypothesis that incorporates the coefficient associated
with HSDegree.
6) Calculate the 95% confidence interval for the HSDegree coefficient. Based on this confidence interval
is there a statistically significant relationship between HSDegree and Medlnc?
Here is a helpful link with an example of calculating a confidence interval for the slope:
https://stattrek.com/regression/slope-confidence-interval.aspx
Transcribed Image Text:Record your responses to the following 6 questions in the Word document. 1) List (and label) the dependent variable and the independent variable. 2) Based on the regression results, if a county's percent of the population with at least a high school diploma increases by 1, by how much and in what direction does a county's Median Income change? 3) What is the predicted MedInc for a HSDegree of 70 percent? 4) What proportion of the variation in MedInc is explained by our regression model (explained by variation in HSDegree)? 5) Suppose you want to test for a statistically significant relationship between HSDegree and MedInc. Write down the null hypothesis and alternative hypothesis that incorporates the coefficient associated with HSDegree. 6) Calculate the 95% confidence interval for the HSDegree coefficient. Based on this confidence interval is there a statistically significant relationship between HSDegree and Medlnc? Here is a helpful link with an example of calculating a confidence interval for the slope: https://stattrek.com/regression/slope-confidence-interval.aspx
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