Truck Speed and Gas Mileage

question 80

Essay

Truck Speed and Gas Mileage
An economist wanted to analyze the relationship between the speed of a truck (x)and its gas mileage (y).As an experiment a truck is operated at several different speeds and for each speed the gas mileage is measured.These data are shown below. ​ ​
-{Truck Speed and Gas Mileage Narrative} Does this data provide sufficient evidence at the 5% significance level to infer that a linear relationship exists between speed and gas mileage?

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Definitions:

Observed Frequencies

The number of times a particular value or event actually occurs in a dataset.

Expected Frequencies

In statistical analysis, these refer to the counts predicted by a probability model or theoretical distribution, used in the comparison of observed data for goodness-of-fit tests.

Contingency Table

A table often used in statistics to show the frequency distribution of variables, helping in the analysis of the relationship between them.

Equality Of Variances

A statistical condition in which two or more groups have the same variance, often an assumption in certain tests of significance.