Show that the F statistic in Figure 13.12 is equal to the t statistic calculated from the data, squared.

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Regression Analysis: Median home value versus Median household income Analysis of Variance Source Regression Median household income Error Total Model Summary S R-sq R-sq (adj) 53.28% 96068.1 54.58% Coefficients Term Constant Median household income DF Adj SS Adj MS F-Value 1 3.88110E+11 3.88110E+11 42.05 1 3.88110E+11 3.88110E+11 42.05 3.23018E+11 9229072263 36 7.11127E+11 35 56 R-sq (pred) 46.29% Coef SE Coef 40292 37370 3.604 0.556 T-Value P-Value 1.08 6.48 0.000 0.288 Regression Equation Median home value = 40292 +3.604 Median household income Figure 13.12 Minitab output for a linear regression model. VIF 1.00 P-Value 0.000 0.000