Consider the Following Data for Two Variables, X and Y

question 41

Essay

Consider the following data for two variables, x and y. $$\begin{array} { | c | c c c c c c c c c c | } \hline x & 7 & 10 & 3 & 5 & 3 & 10 & 4 & 14 & 5 & 8 \\\hline y & 35.0 & 28.5 & 45.0 & 45.0 & 55.0 & 25.0 & 37.5 & 27.5 & 30.0 & 27.5 \\\hline\end{array}$$ Use Excel to determine whether there is sufficient evidence at the 1% significance level to infer that the relationship between y, x and $x ^ { 2 }$ in $\hat{y}$ = 66.799-7.307x + 0.324x² is significant.

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Definitions:

Elastic

Describes a situation in economics where the demand or supply for a good or service significantly changes in response to a change in price.

Substitute Goods

Products or services that can be used in place of one another, with their demand being inversely related: as the price of one rises, the demand for the other increases.

Margarine

A butter substitute made from vegetable oils or animal fats, often used in cooking or as a spread.

Inelastic

A characteristic of a good or service whose quantity demanded or supplied changes by a smaller percentage than changes in price.