Answered: f. Make a histogram of the residuals.…

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 regional planner is studying the demographics of nine counties in the eastern region of an Atlantic seaboard state. She has gathered the following data:

County	Median Income	Median Age	Coastal
A	$ 48,157	57.7	1
B	48,568	60.7	1
C	46,816	47.9	1
D	34,876	38.4	0
E	35,478	42.8	0
F	34,465	35.4	0
G	35,026	39.5	0
H	38,599	65.6	0
I	33,315	27.0	0

a. Is there a linear relationship between the median income and median age?

Yes/No. The correlation of Income and Median Age is ___

b. Which variable is the "dependent" variable?

Which variable is the "dependent" variable? Median age/Median Income

c-1. Use regression analysis to determine the relationship between median income and median age.

Income = ____ + ____ Median Age

c-2. Interpret the value of the slope in a simple regression equation.

For each year increase/decrease in age, the income increases $____ on average.

d. Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable.

Income = _____ + $____ Median Age + _____ Costal

e. Test each of the individual coefficients to see if they are significant.

Predictor	t	p-value
Constant
Median Age
Coastal

f. Make a histogram of the residuals. Which plot is correct?

g. Make a scatter diagram of the residual values versus the fitted values. Which plot is correct?

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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