A Realtor Collected the Following Data for a Random Sample

question 86

Essay

A realtor collected the following data for a random sample of ten homes that recently sold in her area.

$$\begin{array} { | c | c | c | } \hline \text { House } & \text { Asking Price } & \text { Days on Market } \\\hline \text { A } & \$ 114,500 & 29 \\\hline \text { B } & \$ 149,900 & 16 \\\hline \text { C } & \$ 154,700 & 59 \\\hline \text { D } & \$ 159,900 & 42 \\\hline \text { E } & \$ 160,000 & 72 \\\hline \text { F } & \$ 165,900 & 45 \\\hline \text { G } & \$ 169,700 & 12 \\\hline\end{array}$$ $$\begin{array} { | c | c | c | } \hline \mathrm { G } & \$ 169,700 & 12 \\\hline \mathrm { H } & \$ 171,900 & 39 \\\hline \mathrm { I } & \$ 175,000 & 81 \\\hline \mathrm { J } & \$ 289,900 & 121 \\\hline\end{array}$$
a. Construct a scattergram for the data.
b. Find the least squares line for the data and plot the line on your scattergram.
c. Test whether the number of days on the market, y, is positively linearly related to the asking price, $x \text {. Use } \alpha = .05$

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Definitions:

Profit-Maximizing Output

The level of production at which a firm achieves the highest possible profit, determined by the point where marginal revenue equals marginal cost.

Minimum Level

The Minimum Level refers to the least amount, extent, or degree that is acceptable or achievable in a specific context.

Marginal Cost

The financial requirement for producing a supplementary unit of a product.

Average Total Cost

The total cost divided by the quantity of output produced, representing the average cost per unit of output.