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A Production Company Is Studying the Relationship Between the Average

question 21

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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.
 No. of units produced  Cost/unit 2037.71583535.01585030.81586525.81588020.03649516.906411016.376612013.856413513.969615013.847\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?

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Definitions:

Compliant Personality

A personality type characterized by a tendency to agree with others and to acquiesce to external pressures or norms easily.

Compliant Personality

Characterized by a tendency to agree with others or to obey rules and norms with little resistance.

Adler

Alfred Adler, an Austrian medical doctor, psychotherapist, and founder of the school of individual psychology, known for introducing the concept of the inferiority complex.

Compliant Personality

A personality trait characterized by a predisposition to agree with others and yield to social pressure or expectations.

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