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

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:

Repeating Section

A part of a document or form that can be duplicated by the user as needed, allowing for the insertion of variable numbers of datasets or information sets.

Content Control

Tools or features in word processors and other applications that allow users to manage and manipulate sections of content such as text, images, and other embedded elements.

Shape's Border

The outlining boundary of a shape in graphic design or document formatting, which can be customized in color, style, and thickness.

Weight Setting

A configuration option in digital or physical devices that adjusts or specifies the weight, thickness, or importance of an element or item.