An Experiment Was Performed on a Certain Metal to Determine $\rho$

Multiple Choice

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 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: $\rho$ = 0 vs.H_A: $\rho$ $\neq$ 0 at $\alpha$ = .05,determine the test statistic and decision.

A) t = 1.65,fail to reject the null hypothesis
B) t = 2.306,reject the null hypothesis
C) t = 5.292,reject the null hypothesis
D) t = 8.00,reject the null hypothesis