Predicting student proficiency test scores accounting for poverty and income measures:  Data was collected on 608 school districts in Ohio (The Cincinnati Enquirer, Nov 30, 1997) using passage rates in 1996.  The variables used in this analysis include:                 % passed – percent of all 4rth, 6th, 9th and 12th graders who passed the state’s exam eg: 93.85 means 93.85%                 % on ADC – percent of all students in the district receiving Aid for Dependent Children eg: 0.11 means 0.11%                 % Free Lunch – percent of all students who qualify for reduced- priced lunches  Median Income – reported in dollars Now conduct a simple linear regression analysis for each of the variables predicting passing rate and fill in the table below. (posted in attachments). Question: Judging from the outputs summarized in above (analysis posted in attachments), the % free lunch variable provides the best linear regression equation available with this data to predict a county’s passing rate. Explain why this is the best linear regression equation.

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Predicting student proficiency test scores accounting for poverty and income measures:  Data was collected on 608 school districts in Ohio (The Cincinnati Enquirer, Nov 30, 1997) using passage rates in 1996.  The variables used in this analysis include:

                % passed – percent of all 4rth, 6th, 9th and 12th graders who passed the state’s exam eg: 93.85 means 93.85%

                % on ADC – percent of all students in the district receiving Aid for Dependent Children eg: 0.11 means 0.11%

                % Free Lunch – percent of all students who qualify for reduced- priced lunches  Median Income – reported in dollars

Now conduct a simple linear regression analysis for each of the variables predicting passing rate and fill in the table below. (posted in attachments).

Question: Judging from the outputs summarized in above (analysis posted in attachments), the % free lunch variable provides the best linear regression equation available with this data to predict a county’s passing rate. Explain why this is the best linear regression equation. 

 

% on ADC, X by % Passed, Y
% Passed
100
70
40
20
10
10 20
50
70
% Freelunch, X by % Passed,Y
20
10
10000
200m
20000
40000
50000
20
10
20
100
Transcribed Image Text:% on ADC, X by % Passed, Y % Passed 100 70 40 20 10 10 20 50 70 % Freelunch, X by % Passed,Y 20 10 10000 200m 20000 40000 50000 20 10 20 100
Variable
Least Squares Regression Equation
slope
pvalue
R?
% on ADC
78.2580 - 0.6908x
-0.6908
0.0000
0.57
% Free Lunch
81.7279 - 0.4992x
-0.4992
0.0000
0.6239
Median Income 38.9149 + 0.0013x
0.0013
0.0000
0.4813
Transcribed Image Text:Variable Least Squares Regression Equation slope pvalue R? % on ADC 78.2580 - 0.6908x -0.6908 0.0000 0.57 % Free Lunch 81.7279 - 0.4992x -0.4992 0.0000 0.6239 Median Income 38.9149 + 0.0013x 0.0013 0.0000 0.4813
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