A Researcher Is Investigating Variables That Might Be Associated with the Academic

question 50

Multiple Choice

A researcher is investigating variables that might be associated with the academic performance of high school students.She examined data from 1990 for each of the 50 states plus Washington,DC.The data included information on the following variables. As part of her investigation,she ran the multiple regression model SATM = ₀ + ₁($ per pupil) + ₂(% taking) + _i,
Where the deviations _i were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of .This model was fit to the data using the method of least squares.The following results were obtained from statistical software. What is an approximate 95% confidence interval for ₁,the coefficient of the variable $ per pupil?

• A)0.00639 ± 0.0025
• B)0.00639 ± 0.0042
• C)0.00639 ± 0.0050
• D)0.00639 ± 0.0067

---

Definitions:

Duelling

A formal or informal combat between two people, with matched weapons, in accordance with agreed-upon rules.

Industrial Accidents

Unforeseen events that occur in an industrial environment, causing injury to employees and damage to property, often due to unsafe conditions or practices.

Rock Springs

A location known for the Rock Springs Massacre, an 1885 riot against Chinese immigrant miners in Rock Springs, Wyoming, highlighting racial tensions in the American West.

Wyoming

A U.S. state known for its vast plains and Rocky Mountain ranges, became the first state to grant women the right to vote in 1869.