An experiment was performed on a certain metal to determine if the strength is a function of heating time.The simple linear regression equation is
= 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.

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The Answer of An experiment was performed on a certain metal to determine if the strength is a function of heating time.The simple linear regression equation is = 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