10. (10 points) An experiment is performed where participants are told a random series of 10 digits, and asked to repeat them back after a set amount of time, which steadily increases. A regression is constructed to determine if there is a linear relationship between the amount of time elapsed (in seconds) and the number of digits which participants remember. The following R output is given for the linear regression ca11: 1m(formu1a = Digits - Time) Residuals: Min 10_ Median 30 Max 0.18564 0.11913 0.04495 0.08496 0.31418 Coefficients: Estimate Std. Error t va1ue Pr(>|t|} (Intercept) 5.259e-01 4.881e-02 10.774 3.49e-07 *** Time 5.571e-05 1.45?e05 3.825 0.00282 ** Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.1523 on 11 degrees of freedom Mu1t1p1e R-squared: 0.5709I Adjusted R-squared: 0.5318 Fstatistic: 14.63 on 1 and 11 DF, pvalue: 0.002817 (c) What is the correlation coefficient