Find the Equation of the Regression Line by Letting Row

question 45

Essay

Find the equation of the regression line by letting Row 1 represent the x-values and Row 2 represent they-values. Now find the equation of the regression line letting Row 2 represent the x-values and Row 1represent the y-values. What effect does switching the explanatory and response variables have on theregression line? $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \text { Row 1 } & - 5 & - 3 & 4 & 1 & - 1 & - 2 & 0 & 2 & 3 & - 4 \\\hline \text { Row 2 } & - 10 & - 8 & 9 & 1 & - 2 & - 6 & - 1 & 3 & 6 & - 8\end{array}$$

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Definitions:

Standard Deviation

A metric that reflects the degree of spread or scattering of values within a collection, illustrating the deviation of values from the central mean.

Probability

An assessment of the probability that a specific event will happen.

Heights of Men

A statistical data point or measure that refers to the distribution and measurement of stature among the male population.

Standard Deviation

A criterion for determining the degree of variation or distribution range in a set of values.