A sociologist estimates the regression relating Poverty (y)to Education (x₁).The estimated regression equation is: = 71.68 - 0.69x₁;n = 39;SSE = 152.
In an attempt to improve the results,he adds two more explanatory variables: Median Income (x₂,in $1,000s)and the Mortality Rate (x₃,per 1,000 residents).The estimated regression equation is: = 59.80 - 0.44x₁- 0.18x₂ + 0.17x₃;n = 39;SSE = 60.
.a.Formulate the hypotheses to determine whether Median Income and the Mortality Rate are jointly significant in explaining Poverty.
b.Calculate the value of the test statistic.
c.At the 5% significance level,find the approximate value of the critical value(s).
d.What is the conclusion to the test?

Question

A sociologist estimates the regression relating Poverty (y)to Education (x₁).The estimated regression equation is:

A sociologist estimates the regression relating Poverty (y)to Education (x<sub>1</sub>).The estimated regression equation is: = 71.68 - 0.69x<sub>1</sub>;n = 39;SSE = 152. In an attempt to improve the results,he adds two more explanatory variables: Median Income (x<sub>2</sub>,in $1,000s)and the Mortality Rate (x<sub>3</sub>,per 1,000 residents).The estimated regression equation is: = 59.80 - 0.44x<sub>1</sub>- 0.18x<sub>2</sub> + 0.17x<sub>3</sub>;n = 39;SSE = 60. .a.Formulate the hypotheses to determine whether Median Income and the Mortality Rate are jointly significant in explaining Poverty. b.Calculate the value of the test statistic. c.At the 5% significance level,find the approximate value of the critical value(s). d.What is the conclusion to the test?

= 71.68 - 0.69x₁;n = 39;SSE = 152.
In an attempt to improve the results,he adds two more explanatory variables: Median Income (x₂,in $1,000s)and the Mortality Rate (x₃,per 1,000 residents).The estimated regression equation is:

= 59.80 - 0.44x₁- 0.18x₂ + 0.17x₃;n = 39;SSE = 60.
.a.Formulate the hypotheses to determine whether Median Income and the Mortality Rate are jointly significant in explaining Poverty.
b.Calculate the value of the test statistic.
c.At the 5% significance level,find the approximate value of the critical value(s).
d.What is the conclusion to the test?

Quizplus · Accepted Answer

The Answer of A sociologist estimates the regression relating Poverty (y)to Education (x₁).The estimated regression equation is: = 71.68 - 0.69x₁;n = 39;SSE = 152. In an attempt to improve the results,he adds two more explanatory variables: Median Income (x₂,in $1,000s)and the Mortality Rate (x₃,per 1,000 residents).The estimated regression equation is: = 59.80 - 0.44x₁- 0.18x₂ + 0.17x₃;n = 39;SSE = 60. .a.Formulate the hypotheses to determine whether Median Income and the Mortality Rate are jointly significant in explaining Poverty. b.Calculate the value of the test statistic. c.At the 5% significance level,find the approximate value of the critical value(s). d.What is the conclusion to the test?

A Sociologist Estimates the Regression Relating Poverty (Y)to Education (X1)

A Sociologist Estimates the Regression Relating Poverty (Y)to Education (X₁)