Consider the Following Data for Two Variables, X and Y

question 52

Essay

Consider the following data for two variables, x and y, where x is the age of a particular make of car
and y is the selling price, in thousands of dollars. $$\begin{array} { | c | c c c c c c c c c c | } \hline x & 7 & 10 & 3 & 5 & 3 & 10 & 4 & 14 & 5 & 8 \\\hline y & 35.0 & 28.5 & 45.0 & 45.0 & 55.0 & 25.0 & 37.5 & 27.5 & 30.0 & 27.5 \\\hline\end{array}$$ a. Use Excel to develop an estimated regression equation of the form $\hat{y}$ = b₀ +b₁x.
b. Interpret the intercept.
c. Interpret the slope.

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Definitions:

Mental Age

A concept in developmental psychology that represents the cognitive ability of an individual in comparison to others of a certain chronological age.

Two Years

A time period equivalent to 24 months or approximately 730 days.

Intelligence Quotient

A measure of a person's cognitive abilities and potential, compared to the population, often calculated through standardized testing.

Stern Scale

A measurement or rating system used in a specific contextual framework, which requires further detail to define adequately.