A regional planner employed by a public university 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 $ 48,725 55.3 1 B 48,383 53.7 1 C 46,862 46.5 1 D 48,777 57.9 0 E 36,339 43.4 0 F 37,618 40.3 0 G 37,495 37.2 0 H 38,301 31.2 1 I 37,705 32.5 1 a. Is there a linear relationship between the median income and median age? (Round your answer to 3 decimal places.) b. Which variable is the "dependent" variable? multiple choice 1 Median Age Median Income c-1. Use regression analysis to determine the relationship between median income and median age. (Round your answers to 2 decimal places.) c-2. Interpret the value of the slope in a simple regression equation. (Round your answer to 2 decimal places.) d. Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) e. Test each of the individual coefficients to see if they are significant. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) f. Make a histogram of the residuals. Which plot is correct? Residual plot 1 Residual plot 2 Residual plot 3 multiple choice 2 Plot 1 Plot 2 Plot 3 g. Make a scatter diagram of the residual values versus the fitted values. Which plot is correct? Residuals vs Fits 1 Residuals vs Fits 2 Residuals vs Fits 3 multiple choice 3 Plot 1 Plot 2 Plot 3 Help

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 employed by a public university 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	$	48,725		55.3	1
B		48,383		53.7	1
C		46,862		46.5	1
D		48,777		57.9	0
E		36,339		43.4	0
F		37,618		40.3	0
G		37,495		37.2	0
H		38,301		31.2	1
I		37,705		32.5	1

a. Is there a linear relationship between the median income and median age? (Round your answer to 3 decimal places.)

b. Which variable is the "dependent" variable?

multiple choice 1

Median Age
Median Income

c-1. Use regression analysis to determine the relationship between median income and median age. (Round your answers to 2 decimal places.)

c-2. Interpret the value of the slope in a simple regression equation. (Round your answer to 2 decimal places.)

d. Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)

e. Test each of the individual coefficients to see if they are significant. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

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

Residual plot 1	Residual plot 2	Residual plot 3

multiple choice 2

Plot 1
Plot 2
Plot 3

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

Residuals vs Fits 1	Residuals vs Fits 2	Residuals vs Fits 3

multiple choice 3

Plot 1
Plot 2
Plot 3

Help

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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