Write the Best-Fit Linear Model for the Data A) $y = 10.7 + 1.53 x$

question 152

Multiple Choice

Write the best-fit linear model for the data.
-Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results. Find the linear function to model this data. $\begin{array}{cc|c|c|c|c|c|c|c|c|c}\text { Productivity } & 23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \\\hline \text { Dexterity } & 49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75\end{array}$

• A) \(y = 10.7 + 1.53 x\)
• B) \(y = 2.36 + 2.03 x\)
• C) \(y = 75.3 - 0.329 x\)
• D) \(y = 5.05 + 1.91 x\)

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Definitions:

Ratio

A statistic specifying the number of items in a class, or the sum of their values on a variable, per unit of some other class; a ratio is a total expressed in relative terms.

Total

The complete amount or sum of parts or units in a collection.

Distribution

In logic, the act of distributing terms across the components of a categorical syllogism; in mathematics, it refers to the distributive property involving multiplication and addition.

Median

A statistic specifying the middle value of the items in a class on a quantitative variable P.