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Car Speed and Gas Mileage: an Economist Wanted to Analyze

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