Instruction 13.22 the Education Department's Regional Executive Officer Wanted to Predict the Predict

Multiple Choice

Instruction 13.22
The education department's regional executive officer wanted to predict the percentage of students passing a Grade 6 proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing) , daily average of the percentage of students attending class (% Attendance) , average 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 Instruction 13.22,which of the following is the correct alternative hypothesis to determine whether there is a significant relationship between percentage of students passing the proficiency test and the entire set of explanatory variables?

A) H₁: At least one of β_j ≠ 0 for j = 1, 2, 3
B) H₁: β₁ = β₂ = β₃ ≠ 0
C) H₁: At least one of β_j ≠ 0 for j = 0, 1, 2, 3
D) H₁: β₀ = β₁ = β₂ = β₃ ≠ 0