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

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Definitions:

Supraspinatus

A muscle located in the shoulder, part of the rotator cuff group, aiding in arm lifting and rotation.

Gastrocnemius

A major calf muscle involved in walking, jumping, and running, contributing to the movement of the ankle and knee.

Thenar Muscles

A group of muscles in the palm of the human hand associated with the movements of the thumb.

Shin Splints

A common exercise-related injury characterized by pain along the inner edge of the shinbone, often caused by repeated stress or overuse.