Below are the productivity, dexterity, and job satisfaction ratings of ten randomly selected employees. $$\begin{array} { | l | l l l l l l l l l l | }
\hline \text { Productivity } ( \boldsymbol { P } ) & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
\hline \text { Dexterity } ( \boldsymbol { D } ) & 43 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75 \
\hline \text { Satisfaction } ( \boldsymbol { S } ) & 56 & 58 & 60 & 50 & 54 & 61 & 59 & 63 & 67 & 69 \
\hline
\end{array}$$ Find the multiple regression equation that expresses the job satisfaction scores in terms of the productivity and dexterity scores.
A) $\hat { S } = 28.28 + 0.0237 P + 0.728 D$
B) $\hat { S } = 28.28 + 0.011 P + 0.437 D$
C) $\hat { S } = 28.28 + 0.0860 P + 0.517 \mathrm { D }$
D) $\hat { S } = 28.28 + 0.517 P + 0.0860 D$

Question

Below are the productivity, dexterity, and job satisfaction ratings of ten randomly selected employees. $$\begin{array} { | l | l l l l l l l l l l | } 
\hline \text { Productivity } ( \boldsymbol { P } ) & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
\hline \text { Dexterity } ( \boldsymbol { D } ) & 43 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75 \
\hline \text { Satisfaction } ( \boldsymbol { S } ) & 56 & 58 & 60 & 50 & 54 & 61 & 59 & 63 & 67 & 69 \
\hline
\end{array}$$ Find the multiple regression equation that expresses the job satisfaction scores in terms of the productivity and dexterity scores. 
A) $\hat { S } = 28.28 + 0.0237 P + 0.728 D$
B) $\hat { S } = 28.28 + 0.011 P + 0.437 D$
C) $\hat { S } = 28.28 + 0.0860 P + 0.517 \mathrm { D }$
D) $\hat { S } = 28.28 + 0.517 P + 0.0860 D$

Quizplus · Accepted Answer

We use a statistical software to perform multiple regression analysis on the given data with job satisfaction as the dependent variable and productivity and dexterity as independent variables. The resulting regression equation is of the form $\hat { S } = 28.28 + 0.0860 P + 0.517 D$, which matches Option C. This implies that for every additional unit increase in productivity score, the predicted job satisfaction score increases by 0.0860 units, holding dexterity score constant, and for every additional unit increase in dexterity score, the predicted job satisfaction score increases by 0.517 units, holding productivity score constant.

Below Are the Productivity, Dexterity, and Job Satisfaction Ratings of Ten