$$\text { Find the least-squares line } y = \beta _ { 0 } + \beta _ { z } x \text { that best fits the given data. }$$

question 25

Multiple Choice

$$\text { Find the least-squares line } y = \beta _ { 0 } + \beta _ { z } x \text { that best fits the given data. }$$
-Given: The data points (-3, 2) , (-2, 5) , (0, 5) , (2, 3) , (3, 3) . Suppose the errors in measuring the y-values of the last two data points are greater than for the
Other points. Weight these data points half as much as the rest of the data. $$X = \left[ \begin{array} { r r } 1 & - 3 \\1 & - 2 \\1 & 0 \\1 & 2 \\1 & 3\end{array} \right] , \beta = \left[ \begin{array} { l } \beta _ { 1 } \\\beta _ { 2 }\end{array} \right] , y = \left[ \begin{array} { l } 2 \\5 \\5 \\3 \\3\end{array} \right]$$

• A) \(y = 0.18 + 4.1 x\)
• B) \(y = 0.8 + 0.60 x\)
• C) \(y = 4.5 + 0.60 x\)
• D) \(\mathrm { y } = 4.1 + 0.18 \mathrm { x }\)

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Definitions:

Diagram

A visual representation that outlines, explains, or clarifies complex data or relationships using symbols, icons, lines, and texts.

Collusive Oligopoly

A market situation where a few companies control a large market share and agree, often illegally, to fix prices, limit production, or divide markets to maximize profits.

Price Increase

The rise in the cost of goods or services over time or due to market conditions.

Price Cut

A reduction in the selling price of goods or services.