The Staff of a Test Kitchen Is Attempting to Determine $y$

question 68

Essay

The staff of a test kitchen is attempting to determine the baking time, $y$ , of a roast, i.e., the time it takes the internal temperature of the roast to reach $165^{\circ} \mathrm{F}$ , using two variables, the temperature setting of the oven, $x_{1}$ , and the weight of the roast, $x_{2}$ , in pounds. The data for 24 roasts are shown below.

$\text { Baking Times of Roasts }$


a. $\text { Fit a complete second-order model to the data. }$
b. Do the data provide sufficient evidence to indicate that the second-order terms contribute information for the prediction of $y$ ? State the null and alternative hypothes

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Definitions:

Beginning Finished Goods

The stock of completed goods ready for sale at the beginning of a financial period.

Ending Finished Goods

The inventory of goods that are completed and ready for sale at the end of an accounting period.

Sales

The total amount of goods or services sold by a business during a particular period.

Early Warning System

A system designed to detect early signs of risk or failure, allowing for preemptive action.