Perform a linear regression analysis on these data to confirm the results below, and examine plots of the data 
to understand the results and to assess the appropriateness of the analysis.

                                       Analysis of Variance

                                              Sum of           Mean
          Source                   DF        Squares         Square    F Value    Pr > F

          Model                     1       27.49000       27.49000      18.00    0.0022
          Error                     9       13.74249        1.52694
          Corrected Total          10       41.23249


                       Root MSE              1.23570    R-Square     0.6667
                       Dependent Mean        7.50091    Adj R-Sq     0.6297
                       Coeff Var            16.47394


                                       Parameter Estimates

                                    Parameter       Standard
               Variable     DF       Estimate          Error    t Value    Pr > |t|

               Intercept     1        3.00173        1.12392       2.67      0.0256
               x             1        0.49991        0.11782       4.24      0.0022