Can you help me understand what this data analysis about Diamond depth, price, carat, xyz length and other variables is saying? What does the R square mean and r square adjusted?

Thanks

Response price Effect Summary Source LogWorth PValue carat 4853.437 0.00000 x_length_mm 215.142 0.00000 depth 184.379 0.00000 y_width_mm 3.818 0.00015 - - - . . . . z_depth_mm 0.820 0.15142 Remove Add Edit |FDR Summary of Fit RSquare 0.856339 RSquare Adj 0.856325 Root Mean Square Error 1512.175 Mean of Response 3932.8 Observations (or Sum Wgts) 53940 Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Model 5 7.3514e+11 1.47e+11 64298.14 Error 53934 1.2333e+11 2286671.9 Prob > F C. Total 53939 8.5847e+11 <.0001 parameter estimates term estimate std error t ratio prob>|t] Intercept 12196.687 367.6428 33.18 <.0001 carat depth x_length_mm y_width_mm z_depth_mm effect tests sum of source nparm df squares f ratio prob> F carat 1 6.3292e+10 27678.53 <.0001 depth x_length_mm y_width_mm z_depth_mm>