Find the Equation of the Regression Line for the Given

question 42

Multiple Choice

Find the equation of the regression line for the given data. Round values to the nearest thousandth. $\begin{array}{l|c|c|c|c|c|c|c|c|c|c}\mathrm{x} & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\\hline \mathrm{y} & -10 & -8 & 9 & 1 & -2 & -6 & -1 & 3 & 6 & -8\end{array}$

• A)\(\hat { y } = 2.097 x - 0.552\)
• B) \(\hat { y } = 0.522 x - 2.097\)
• C)\(\hat { y }= 2.097 \mathrm { x } + 0.552\)
• D)\(\hat { y } = - 0.552 \mathrm { x } + 2.097\)

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Definitions:

Break-Even Point

The juncture where a business's total expenses match its total income, resulting in neither a profit nor a loss.

Firm's Output

The total quantity of goods or services produced by a company over a specific period.

Shutdown Point

The level of production and price point at which a company's revenue just covers its variable costs, below which the firm would cease operations to minimize losses.

Firm's Output

The total quantity of goods or services produced by a company within a specific time period.