In Figure 13.5, the coefficient of determination (R²) is determined to be 0.741. Given that it is based on a sample size of 23, what R² would you expect, even when there is no relationship between the dependent and independent variables?

Data from Figure 13.5

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A 1 Summary Output 2 Regression Statistics 3 Multiple R 4 R Square 5 Adjusted R Square 6 Standard Error 7 Observations 8 9 ANOVA 10 11 Regression 12 Residual 13 Total 14 15 16 Intercept 17 Square Feet 18 Age B C 57.35 0.017718 -0.6663 0.861 0.741 0.715 11.9604 23 Analysis of variance (ANOVA) table df 2 20 22 D SS 8189.7 2861.0 11050.7 Coefficient of determination Adjusted R² Standard error of the estimate (se) Coefficients Standard Error 10.01 0.003146 0.228 E MS 4094.9 143.1 F F Significance F 0.000 28.63 F test for the overall model t Stat P-value 5.73 0.000 0.000 5.63 -2.92 0.008 t test of regression coefficients and p-values