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An historian of poor relief is interested in finding out what factors were most important in determining the amount of money localities in England (known

An historian of poor relief is interested in finding out what factors were most important in determining the amount of money localities in England (known as parishes) spent on aiding impoverished families in 1833, just prior to the passage of a law which overhauled the poor relief system. He randomly selects 311 parishes in England. His dependent variable is RELIEF (the amount of money the parish spent on relief per capita). Below are tables that define his independent variables and show the results of his regression procedure. Based on those results, answer questions #1 through 18:

Independent Variable

Definition

INCOME

Mean annual income of adult male farm workers in each parish

UNEMPLOYMENT

Proportion of farm laborers in each parish who were unemployed

LONDON

The distance (in miles) to London from the center of the county in which each parish was located

DENSITY

Number of people per square acre in each parish

WEALTH

Value of real estate in each parish per head of household

In addition to the numeric independent variables listed above, he also uses a number of dummy independent variables, where the value of "1" indicates that the answer to the question is "yes" and the value of "0" indicates that the answer to the question is "no":

Independent Variable

Definition

ALLOTMENT

Were farm laborers allotted a portion of their employers' land for their own use?

WORKHOUSE

Was there a workhouse in the parish?

CHILDALLOWANCE

Did the parish grant poor families allowances (extra money) if theyhad several children (usually three or more)?

SUBSIDY

Did the parish subsidize the wages of privately-employed laborers?

His research hypothesis is that INCOME, WEALTH, UNEMPLOYMENT, WORKHOUSE, LONDON, and CHILDALLOWANCE were all positively related to RELIEF, whereas DENSITY, SUBSIDY, and ALLOTMENT were negatively related to RELIEF.

For the sake of simplicity, we willtreat monetary values in equivalent U.S. dollars.

Here are the results of his regression procedure:

Dependent Variable: RELIEF

N of Cases: 311

Standard Error of Estimate: 6.548

y-intercept: 8.991

Independent Variable

Partial

Regression

Coefficient (b)

St. Error

of b

Beta Weights

(i.e., Standardized

Coefficients)

INCOME

.153

.092

.094

UNEMPLOYMENT

40.626

5.343

.380

ALLOTMENT

-.859

.769

-.054

LONDON

-.03190

.010

-.180

WORKHOUSE

.288

.825

.017

CHILDALLOWANCE

4.676

1.007

.226

SUBSIDY

-.817

.955

-.040

DENSITY

-1.168

.457

-.123

WEALTH

.127

.168

.037

SourceSum of Squares

Regression 7,030.463

Residuals 12,908.653

For every $20 increase in INCOME there is, on average and controlling for the influence of the other independent variables, what increase in RELIEF?

Group of answer choices

A. an amount greater than 10

B. an amount between 0.10 and 1.0

C. an amount between 1.0 and 10

D. an amount between 0 and 0.10

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