Answered: A researcher is investigating possible…

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

A researcher is investigating possible explanations for deaths in traffic accidents. He examined data from 2000 for each of the 52 cities randomly selected in the US. The variables were death and income.
Deaths: The number of deaths in traffic accidents per city
Income: The median income per city

The researcher ran a simple linear regression model: Deaths = Bo+B1(Income). Results shown in photo below.

Question: Please help me better understand how to use results from photo to find value of R-squared of this simple linear regression model.

Source
Model
Error
Variable
Constant
$Per Pupil
% Taking
Sum of Squares
45915.0
13835.1
Parameter
Estimate
514.652
0.00639
-1.49221
df
2
50
Standard Error of Parameter
Estimate
10.30
0.0025
0.1419

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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