Write the Best-Fit Linear Model for the Data $\mathrm { y } = 14.6 + 0.211 \mathrm { x }$

question 109

Multiple Choice

Write the best-fit linear model for the data.
-The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) . The linear model for this data is $\mathrm { y } = 14.6 + 0.211 \mathrm { x }$ , where $\mathrm { x }$ is temperature and $\mathrm { y }$ is growth in millimeters. Use this model to predict the growth of a plant if the temperature is $57 .$
$$\begin{array} { c | c c c c c c c c c } \text { Temp } & 62 & 76 & 50 & 51 & 71 & 46 & 51 & 44 & 79 \\\hline \text { Growth } & 36 & 39 & 50 & 13 & 33 & 33 & 17 & 6 & 16\end{array}$$

• A) 26.63 mm
• B) 27.08 mm
• C) 27.54 mm
• D) 25.43 mm

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Definitions:

Graph

A visual representation of data or mathematical functions, typically drawn on a coordinate grid.

Domain

The set of all possible input values (usually x-values) for which a function is defined.

Range

The difference between the highest and lowest values in a set of data or, in functions, the set of all possible output values.

\(C ( x )\)

Commonly represents a function of x in mathematics, indicating the cost, capacity, or another quantity varying with x.