For each exercise, determine the linear correlation coefficient by using the defining formula ...

     In   exercises 14.116-14.121, we repeat data from exercises in Section 14.2. For   each exercise, determine the linear correlation coefficient by using the   defining formula in Definition 14.6 on page 727. 14.120 X 3 4 1 2 Y 4 5 0 -1   14.124. Custom homes. Following are the size and price data for custom homes   from Exercises 14.52 and 14.90. X 26 27 33 29 29 34 30 40 22 Y 540 555 575   577 601 661 738 804 496       a. Obtain the linear   correlation coefficient by using the computing formula in Definition 14.6 on   page 727      b. Interpret the value of r in   terms of the linear relationship between the two variables in question.      c. discuss the graphical   interpretation of the value of r and verify that it is consistent with the   graph you obtained in the corresponding exercise in section 14.3      d. square r and compare the   result with the value of the coefficient of determination you obtained in the   corresponding exercise. 

      x y   3 4   4 5   1 0   2 1    

     x y   26 540   27 555   33 575   29 577   29 601   34 661   30 738   40 804   22 496