An air travel service samples domestic airline flights to ex

An air travel service samples domestic airline flights to explore the relationship between airfare and distance. The service would like to know if there is a correlation between airfare and flight distance. If there is a correlation, what percentage of the variation in airfare is accounted for by distance? How much does each additional mile add to the fare? The data follow.

Compute the correlation of distance and fare? (Round your answer to 3 decimal places.)

State the decision rule for 0.025 significance level: H₀: r 0; H₁: r > 0. (Round your answer to 2 decimal places.)

Compute the value of the test statistic. (Round your answer to 2 decimal places.)

At the 0.025 significance level, is it reasonable to conclude that the correlation coefficient is greater than zero?

What percentage of the variation in Fare is accounted for by Distance of a flight? (Round your answer to the nearest whole number.)

Determine the regression equation. (Round your answers to 5 decimal places.)

How much does each additional mile add to the fare? (Round your answer to 5 decimal places.)

Estimate the fare for a 1,500-mile flight. (Round your answer to 2 decimal places.)

An air travel service samples domestic airline flights to explore the relationship between airfare and distance. The service would like to know if there is a correlation between airfare and flight distance. If there is a correlation, what percentage of the variation in airfare is accounted for by distance? How much does each additional mile add to the fare? The data follow.

Compute the correlation of distance and fare? (Round your answer to 3 decimal places.)

State the decision rule for 0.025 significance level: H₀: r 0; H₁: r > 0. (Round your answer to 2 decimal places.)

Compute the value of the test statistic. (Round your answer to 2 decimal places.)

At the 0.025 significance level, is it reasonable to conclude that the correlation coefficient is greater than zero?

What percentage of the variation in Fare is accounted for by Distance of a flight? (Round your answer to the nearest whole number.)

Determine the regression equation. (Round your answers to 5 decimal places.)

How much does each additional mile add to the fare? (Round your answer to 5 decimal places.)

Estimate the fare for a 1,500-mile flight. (Round your answer to 2 decimal places.)

Solution

Compute the correlation of distance and fare? (Round your answer to 3 decimal places.)

0.98

State the decision rule for 0.025 significance level: H0: r 0; H1: r > 0. (Round your answer to 2 decimal places.)

Compute the value of the test statistic. (Round your answer to 2 decimal places.)

At the 0.025 significance level, is it reasonable to conclude that the correlation coefficient is greater than zero?

there is not evidence to conclude that a positive correlation exists

What percentage of the variation in Fare is accounted for by Distance of a flight? (Round your answer to the nearest whole number.)

Determine the regression equation. (Round your answers to 5 decimal places.)

How much does each additional mile add to the fare? (Round your answer to 5 decimal places.)

Estimate the fare for a 1,500-mile flight. (Round your answer to 2 decimal places.