Find the Equation of the Regression Line for the Given

question 92

Multiple Choice

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

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

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Definitions:

Mean

The arithmetic average of a set of numbers, calculated by adding all the numbers together and dividing by the count of those numbers.

Standard Error

A statistic that measures the dispersion of sample means around the population mean, estimating the variability within a data set.

Confidence Interval

Newly defined: A measure indicating the reliability of an estimate, often used to infer about the population parameter from sample data.

Sample

A subset of a population used in statistical analysis to estimate the characteristics of the whole population.