TABLE 14-15 the Superintendent of a School District Wanted to Predict the Predict

question 215

Multiple Choice

TABLE 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing) , daily mean of the percentage of students attending class (% Attendance) , mean teacher salary in dollars (Salaries) , and instructional spending per pupil in dollars (Spending) of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable, X₁ = % Attendance, X₂= Salaries and X₃= Spending:

-Referring to Table 14-15, which of the following is the correct alternative hypothesis to test whether instructional spending per pupil has any effect on percentage of students passing the proficiency test, taking into account the effect of all the other independent variables?

• A) H₀: = β₀ ≠ 0
• B) H₀: = β₁ ≠ 0
• C) H₀: = β₂ ≠ 0
• D) H₀: = β₃ ≠ 0

---

Definitions:

Diminishing Returns

An economic principle stating that as investment in a particular area increases, the rate of profit from that investment, after a certain point, begins to decrease.

Marginal Cost

The change in total production cost that arises when the quantity produced is incremented by one unit.

Fixed Cost

Expenses that do not change in proportion to the activity of a business, such as rent, salaries, and loan payments.

Variable

A variable is an element, feature, or factor that is liable to vary or change; in mathematics and statistics, it's a quantity that can assume any of a set of values.