Use a Graphing Calculator to Plot the Data and Find

question 153

Multiple Choice

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1) . Use a graphing calculator to
Plot a scatter diagram. What is the quadratic function of best fit? $\begin{array}{l|l}\text { Year, x } & \text { Housing Starts, H } \\\hline 1 & 200 \\2 & 205 \\3 & 210 \\4 & 240 \\5 & 245 \\6 & 230 \\7 & 220 \\8 & 210\end{array}$

• A) \(H ( x ) = - 2.679 x ^ { 2 } + 26.607 x + 168.571\)
• B) \(H ( x ) = - 2.679 x ^ { 2 } + 26.607 x - 168.571\)
• C) \(\mathrm { H } ( \mathrm { x } ) = 2.679 \mathrm { x } ^ { 2 } + 26.607 \mathrm { x } + 168.571\)
• D) \(\mathrm { H } ( \mathrm { x } ) = - 2.679 \mathrm { x } ^ { 2 } - 26.607 \mathrm { x } + 168.571\)

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Definitions:

Auxiliary Contacts

Additional contacts in electrical devices, like relays or contactors, that are used to perform secondary functions, such as signaling or interlocking circuits.

Programmed Stop Parameters

The settings or criteria within a system that determine when and how it will come to a stop or pause in its operation.

Digital Input

An input signal to a device or circuit that is either at a high (1) or low (0) state, representing binary data or on/off conditions.

Direction Of Rotation

Direction of rotation refers to the clockwise or counterclockwise movement of a mechanical component, such as a motor shaft or wheel.