The Table Shows the Profit Y (In Thousands of Dollars)

question 10

Essay

The table shows the profit y (in thousands of dollars) that a company made during a month when the price of its product was x dollars per unit. $\begin{array}{cc}\hline \text { Profit, } y & \text { Price, } x \\\hline 12 & 1.20 \\17 & 1.25 \\20 & 1.29 \\21 & 1.30 \\24 & 1.35 \\26 & 1.39 \\27 & 1.40 \\23 & 1.45 \\21 & 1.49 \\20 & 1.50 \\15 & 1.55 \\11 & 1.59 \\10 & 1.60 \\5 & 1.65 \\\hline\end{array}$

a. Fit the model $y = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x 2 + \varepsilon$ to the data and give the least squares prediction equation.
b. Plot the fitted equation on a scattergram of the data.
c. Is there sufficient evidence of downward curvature in the relationship between profit and price? Use $\alpha = .05$ . 4 Perform Quadratic Regression and Make Predictions

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Definitions:

Periodic Tasks

Tasks scheduled to be executed at regular intervals, often used in computing and embedded systems for repeated actions.

Timed Interrupts

Hardware or software signals that interrupt the normal flow of the execution of a program at specified intervals, to perform a task or manage resources.

Programs Execute

The process by which computer programs or software instructions are carried out by the hardware, performing defined tasks.

Controller Organizer

A component or software in control systems that manages the execution of control tasks and the organization of control programs.