Find the Equation of the Regression Line for the Given

question 72

Multiple Choice

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

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

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Definitions:

Residuals

The variations between the actual values and the ones forecasted in regression analysis.

Oil Quality

A measure of the chemical and physical properties of an oil, determining its suitability for specific uses.

Regression Equation

A mathematical formula used to predict a dependent variable based on one or more independent variables.

Outliers

Data points that significantly differ from the majority of a dataset, often indicating a deviation from the norm.