Which is the best estimate of the correlation coefficient for the scatter plot?

Answer:Option (4)Step-by-step explanation:Table for the points from the graph attached,       x           y        [tex]x^{2}[/tex]            [tex]y^{2}[/tex]            xy     2.2       1.8       4.84        3.24       3.96     3.2       1.8       10.24       3.24       5.76     3.6        3        12.96         9           10.8     4.8       3.5      23.04      12.25      16.8     5.2       6.2      27.04      38.44      32.24     6.4       4.5      40.96      20.25     28.8     7.5       7.8       56.25     60.84      58.5     8.5       6.2      72.25      38.44      52.7[tex]\sum x=41.4[/tex][tex]\sum y=34.8[/tex][tex]\sum x^2=247.58[/tex][tex]\sum y^2=185.7[/tex][tex]\sum xy=209.56[/tex]n = 8Formula for the correlation coefficient  [tex]r=\frac{n\sum xy-(\sum x)(\sum y)}{\sqrt{[{n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}}[/tex][tex]r=\frac{8(209.56)-(41.4)(34.8)}{\sqrt{[{8(247.58)-(41.4)^2][8(185.7)-(34.8)^2]}}}[/tex]r = [tex]\frac{1676.48-1440.72}{\sqrt{266.52\times 274.56} }[/tex]r = [tex]\frac{235.76}{\sqrt{73175.73}}[/tex]r = [tex]\frac{235.76}{270.51}[/tex]r = 0.87r ≈ 0.9Therefore, Option (4) is the answer.