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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. HA: ρ ≠ 0 at α = .05, determine the test statistic and decision.
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