Instruction 13.1
A manager of a product sales group believes the number of sales made by an employee (Y) depends on how many years that employee has been with the company (X₁) and how he/she scored on a business aptitude test (X₂) . A random sample of 8 employees provides the following:
$\begin{array} { | l | l | l | l | } \hline \text { Employee } & Y & X 1 & X 2 \\\hline 1 & 100 & 10 & 7 \\\hline 2 & 90 & 3 & 10 \\\hline 3 & 80 & 8 & 9 \\\hline 4 & 70 & 5 & 4 \\\hline 5 & 60 & 5 & 8 \\\hline 6 & 50 & 7 & 5 \\\hline 7 & 40 & 1 & 4 \\\hline 8 & 30 & 1 & 1 \\\hline\end{array}$
-Referring to Instruction 13.1,for these data,what is the value for the regression constant,b₀?

Question

Instruction 13.1
A manager of a product sales group believes the number of sales made by an employee (Y) depends on how many years that employee has been with the company (X₁) and how he/she scored on a business aptitude test (X₂) . A random sample of 8 employees provides the following:

\begin{array} { | l | l | l | l | } \hline \text { Employee } & Y & X 1 & X 2 \\\hline 1 & 100 & 10 & 7 \\\hline 2 & 90 & 3 & 10 \\\hline 3 & 80 & 8 & 9 \\\hline 4 & 70 & 5 & 4 \\\hline 5 & 60 & 5 & 8 \\\hline 6 & 50 & 7 & 5 \\\hline 7 & 40 & 1 & 4 \\\hline 8 & 30 & 1 & 1 \\\hline\end{array}

-Referring to Instruction 13.1,for these data,what is the value for the regression constant,b₀?

Quizplus · Accepted Answer

The regression model is Y = b0 + b1X1 + b2X2, where Y represents the sales made by an employee, X1 represents the number of years the employee has been with the company, and X2 represents the score on the aptitude test. 
Using the given data, we can calculate the regression equation as follows: 
Y = 21.293 + 1.25X1 + 0.133X2
where b0 = 21.293 is the regression constant. Therefore, the answer is B.

Instruction 13 -Referring to Instruction 13