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

question 158

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SCENARIO 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixthgrade proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), mean teacher salary in thousands of dollars (Salaries), and instructional spending per pupil in thousands of dollars (Spending) of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable, X1 = Salaries and X 2 = Spending:
 SCENARIO 14-15 The superintendent of a school district wanted to predict the percentage of students passing a sixthgrade proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), mean teacher salary in thousands of dollars (Salaries), and instructional spending per pupil in thousands of dollars (Spending) of 47 schools in the state. Following is the multiple regression output with Y = % Passing as the dependent variable, X<sub>1</sub> = Salaries and X <sub>2</sub> = Spending:     -Referring to Scenario 14-15,the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub>= \beta <sub>2</sub>=0implies that percentage of students passing the proficiency test is not related to either of the explanatory variables.
 SCENARIO 14-15 The superintendent of a school district wanted to predict the percentage of students passing a sixthgrade proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), mean teacher salary in thousands of dollars (Salaries), and instructional spending per pupil in thousands of dollars (Spending) of 47 schools in the state. Following is the multiple regression output with Y = % Passing as the dependent variable, X<sub>1</sub> = Salaries and X <sub>2</sub> = Spending:     -Referring to Scenario 14-15,the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub>= \beta <sub>2</sub>=0implies that percentage of students passing the proficiency test is not related to either of the explanatory variables.
-Referring to Scenario 14-15,the null hypothesis
H0: β\beta 1= β\beta 2=0implies that percentage of
students passing the proficiency test is not related to either of the explanatory variables.

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Definitions:

Level Of Significance

A threshold in statistical testing that determines if the evidence is strong enough to reject the null hypothesis.

Diets

Regulated eating plans designed to achieve certain health or fitness goals, such as weight loss, muscle gain, or disease management.

Weight Gain

An increase in body weight over time, which can result from various factors including diet, exercise, health conditions, or genetics.

Wilcoxon Signed-Rank Test

A non-parametric statistical test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ.

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