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       27.50000       27.50000      17.97    0.0022
          Error                     9       13.77629        1.53070
          Corrected Total          10       41.27629


                       Root MSE              1.23721    R-Square     0.6662
                       Dependent Mean        7.50091    Adj R-Sq     0.6292
                       Coeff Var            16.49419


                                       Parameter Estimates

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

               Intercept     1        3.00091        1.12530       2.67      0.0258
               x             1        0.50000        0.11796       4.24      0.0022