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

question 25

Essay

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?

---

Definitions:

Hysterectomy

A surgery used to remove a woman’s uterus.

Uterus

A hollow, thick-walled, muscular organ held in the pelvic cavity by flexible ligaments and supported by several muscles. Also known as womb.

Surgical Removal

The process of eliminating a body part or tissue through operative or medical procedures.

Cervical Cancer

Invasive cancer of the cervix (ICC).