SCENARIO 13-15
the Superintendent of a School District Wanted to Predict

question 273

Multiple Choice

SCENARIO 13-15
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) , 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: $$\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.4276 \\\text { R Square } & 0.1828 \\\text { Adjusted R Square } & 0.1457 \\\text { Standard Error } & 5.7351 \\\text { Observations } & 47 \\\hline\end{array}\\\\\text { ANOVA }\\\begin{array} { l r r r r r } \hline & d f & { \text { SS } } & { \text { MS } } & \text { F } & { \text { Significance } F } \\\hline \text { Regression } & 2 & 323.8284 & 161.9142 & 4.9227 & 0.0118 \\\text { Residual } & 44 & 1447.2094 & 32.8911 & & \\\text { Total } & 46 & 1771.0378 & & & \\\hline\end{array}\\\\\begin{array} { l r r r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & - 72.9916 & 45.9106 & - 1.5899 & 0.1190 & - 165.5184 & 19.5352 \\\text { Salary } & 2.7939 & 0.8974 & 3.1133 & 0.0032 & 0.9853 & 4.6025 \\\text { Spending } & 0.3742 & 0.9782 & 0.3825 & 0.7039 & - 1.5972 & 2.3455 \\\hline\end{array}\end{array}$$
-Referring to SCENARIO 13-15, which of the following is the correct alternative hypothesis to test whether mean teacher salary has any effect on percentage of students passing the proficiency test, considering the effect of instructional spending per pupil?

• A)\(H _ { 1 } : \beta _ { 0 } \neq 0\)
• B)\(H _ { 1 } : \beta _ { 1 } \neq 0\)
• C)\(H _ { 1 } : \beta _ { 2 } \neq 0\)
• D)\(H _ { 1 } : \beta _ { 3 } \neq 0\)

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Definitions:

Islet Cells

Cells located in the pancreas that produce hormones like insulin and glucagon, playing a crucial role in regulating blood glucose levels.

Chromaffin Cells

Specialized cells found in the adrenal medulla that produce and secrete catecholamines like adrenaline and noradrenaline.

Follicular Cells

Follicular cells are cells surrounding each follicle in the thyroid gland, responsible for the synthesis and secretion of thyroid hormones.

Chromaffin Cells

Cells found in the adrenal medulla that produce adrenaline and noradrenaline, hormones involved in the body's stress response.