Answered: Predicting 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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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, 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

Regression model is in the attachments.

Question: What is the value of R²? And interpret this value in terms of predicting passing rates in Ohio schools and the percent of free lunches.

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

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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