A production company is studying the relationship between the average cost/unit and number of units produced in a batch. A sample of 10 batches is selected and the data is given below.
$$\begin{array} { | c | c | }
\hline \text { No. of units produced } & \text { Cost/unit } \
\hline 20 & 37.7158 \
\hline 35 & 35.0158 \
\hline 50 & 30.8158 \
\hline 65 & 25.8158 \
\hline 80 & 20.0364 \
\hline 95 & 16.9064 \
\hline 110 & 16.3766 \
\hline 120 & 13.8564 \
\hline 135 & 13.9696 \
\hline 150 & 13.847 \
\hline
\end{array}$$
a. Develop a scatter chart for these data. What does the scatter chart indicate about the relationship between average cost/unit and number of units produced?
b. Regardless of your answer to part (a), develop an estimated simple linear regression equation for the data. How much variation in the sample values of cost/unit is explained by this regression model?

Question

A production company is studying the relationship between the average cost/unit and number of units produced in a batch. A sample of 10 batches is selected and the data is given below.
​ $$\begin{array} { | c | c | } 
\hline \text { No. of units produced } & \text { Cost/unit } \
\hline 20 & 37.7158 \
\hline 35 & 35.0158 \
\hline 50 & 30.8158 \
\hline 65 & 25.8158 \
\hline 80 & 20.0364 \
\hline 95 & 16.9064 \
\hline 110 & 16.3766 \
\hline 120 & 13.8564 \
\hline 135 & 13.9696 \
\hline 150 & 13.847 \
\hline
\end{array}$$ 
a. Develop a scatter chart for these data. What does the scatter chart indicate about the relationship between average cost/unit and number of units produced?
b. Regardless of your answer to part (a), develop an estimated simple linear regression equation for the data. How much variation in the sample values of cost/unit is explained by this regression model?

Quizplus · Accepted Answer

The Answer of A production company is studying the relationship between the average cost/unit and number of units produced in a batch. A sample of 10 batches is selected and the data is given below.
​ $$\begin{array} { | c | c | } 
\hline \text { No. of units produced } & \text { Cost/unit } \
\hline 20 & 37.7158 \
\hline 35 & 35.0158 \
\hline 50 & 30.8158 \
\hline 65 & 25.8158 \
\hline 80 & 20.0364 \
\hline 95 & 16.9064 \
\hline 110 & 16.3766 \
\hline 120 & 13.8564 \
\hline 135 & 13.9696 \
\hline 150 & 13.847 \
\hline
\end{array}$$ 
a. Develop a scatter chart for these data. What does the scatter chart indicate about the relationship between average cost/unit and number of units produced?
b. Regardless of your answer to part (a), develop an estimated simple linear regression equation for the data. How much variation in the sample values of cost/unit is explained by this regression model?

A Production Company Is Studying the Relationship Between the Average