An experiment was performed on a certain metal to determine if the strength is a function of heating time. You use a sample size of 10 to test this hypothesis. The simple linear regression equation is ŷ = 1 + 1X, and the sample coefficient of determination (r²) = .7777. The time is in minutes and the strength is measured in pounds per square inch. Test to determine if there is a significant correlation between the heating time and strength of the metal. Using H₀: ρ = 0 vs. H_A: ρ ≠ 0 at α = .05, determine the test statistic and decision.

Question

Quizplus · Accepted Answer

The Answer of An experiment was performed on a certain metal to determine if the strength is a function of heating time. You use a sample size of 10 to test this hypothesis. The simple linear regression equation is ŷ = 1 + 1X, and the sample coefficient of determination (r²) = .7777. The time is in minutes and the strength is measured in pounds per square inch. Test to determine if there is a significant correlation between the heating time and strength of the metal. Using H₀: ρ = 0 vs. H_A: ρ ≠ 0 at α = .05, determine the test statistic and decision.

An Experiment Was Performed on a Certain Metal to Determine