Answered: redicting student proficiency test…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

redicting 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, 6^th, 9^th and 12^th 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

Question: I graduated from Alliance City Schools which has a reported 61.18% passing rate and 49.1% free lunches.

School Data:

Rank

School District

County

% Passed

% on ADC

% Free Lunch

Median Income

537

Alliance City

Stark

61.18

24.97

49.1

19298

7a. Use the linear regression equation model (posted in attachments) to predict passing rate for a school with 49.1% free lunches.

X= Median Income, Y= % Passed
y = 0.0013x + 38.915
X = Free lunch, Y = % Passed
y = -0.4992x + 81.728
R2 = 0.4813
R? = 0.6239
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X = % on ADC, Y = % Passed
y = -0.6908x + 78.258
R2 = 0.57
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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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