$$

Goal: Evaluate the relationship between two quantitative variables. Required: Lecture notes, calculator, and Excel The following dataset contains the price and other attributes for thirty diamonds [Source: R/data.R]. The 10 variables for each observed diamond are as follows: price-given in US dollars carat weight of the diamond cut quality of cut - color-diamond color clarity a measure of how clear the diamond is - depth total depth percentage table width of top of diamond relative to widest point x-length in mm y-width in mm z-depth in mm Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable 1 2 3 4 5 6 7 8 9 10 price carat cut color clarity depth table X y Z 326 0.23 Ideal E S12 61.5 55 3.95 3.98 2.43 403 0.32 Very Good H S12 61.8 55 4.35 4.42 2.71 553 0.24 Very Good D VVS1 61.5 60 3.97 4 2.45 554 0.3 Very Good H SII 63.1 56 4.29 4.27 2.7 2757 0.86 Fair E S12 55.1 69 6.45 6.33 3.52 2772 0.58 Ideal G VVS1 61.5 55 5.39 5.44 3.33 2780 0.7 Ideal G VS1 61.4 59 5.64 5.73 3.49 2912 1 Fair H S12 67 55 6.25 6.12 4.16 2999 0.71 Ideal F SII 61.9 56 5.69 5.74 3.54 3181 0.95 Premium G S12 59.8 60 6.36 6.34 3.8 566 0.34 Premium F SII 59.3 60 4.52 4.58 2.7 3398 0.9 Good I VSI 62.8 57 6.07 6.16 3.84 3454 0.74 Ideal F VS2 61.9 57 5.79 5.81 3.59 3456 0.94 Premium F SI2 62.4 58 6.23 6.17 3.87 3561 0.7 Good D VS2 59.9 59 5.69 5.73 3.42 3739 0.71 Ideal G IF 60.9 57 5.74 5.79 3.51 4102 1.01 Fair G SI1 66.9 56 6.15 6.22 4.14 4185 1.01 Very Good G SII 63.3 57 6.37 6.35 4.02 4557 1.05 Premium F S12 62.6 59 6.47 6.43 4.04 4766 1 Ideal E S12 61.9 56 6.39 6.43 3.97 5040 1.2 Premium H S12 62.4 61 6.81 6.78 4.24 5147 1.01 Fair D SI1 64.4 61 6.17 6.13 3.96 5338 1.13 Premium H SI1 61.4 59 6.73 6.68 4.12 5650 1.04 Premium F SI1 62.8 57 6.5 6.43 4.06 6060 1.07 Ideal E S12 62.5 57 6.56 6.5 4.08 6061 1.32 Fair I SII 64.8 58 6.9 6.83 4.45 1804 0.5 Very Good D VSI 62.3 60 5.07 5.1 3.17 1785 0.61 Good G VSI 60.2 61 5.47 5.52 3.3 9182 0.9 Very Good 447 0.3 Very Good DO IF 62.4 54 6.17 6.21 3.86 G SII 62.6 57 4.25 4.34 2.69