Find the Equation of the Regression Line for the Given

question 76

Multiple Choice

Find the equation of the regression line for the given data. $$\begin{array} { c | c | c | c | c | c | c | c | c | c | c | } \mathrm { x } & - 5 & - 3 & 4 & 1 & - 1 & - 2 & 0 & 2 & 3 & - 4 \\\hline \mathrm { y } & 11 & 6 & - 6 & - 1 & 3 & 4 & 1 & - 4 & - 5 & 8\end{array}$$

• A) \(\hat { \mathrm { y } }\) = -1.885x + 0.758
• B) \(\hat { \mathrm { y } }\) = 0.758x + 1.885
• C) \(\text { y }\) = -0.758x - 1.885
• D) \(\hat { y }\) = 1.885x - 0.758

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Definitions:

Growth Rate

The proportional increase of some variable within a specific time period, often expressed as a percentage.

Law of Increasing Opportunity Costs

States that as production of a product increases, the cost to produce an additional unit of that product also increases. This is due to resources typically not being equally efficient in producing every good.

Consumer Goods

Products that are purchased for consumption by the average consumer, typically divided into durable goods, nondurable goods, and services.

Capital Goods

Physical assets used in the production of goods and services, such as machinery, buildings, and equipment.