For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below.
Posted: Sun Jul 10, 2022 10:21 am
For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers. a. Use the definition r= 1-7 Σ (* -*) (*; -5) Sx Sy Find the sum required to calculate r using the definition. Σ(x₁-x) (V₁-y)=(Type an integer or a decimal. Do not round.) Using the definition, r = (Round to three decimal places as needed.) b. Use the computing formular = Σ×vi - (Σ×) (Σyi) / n [Σx? - (Σxi)² /n] [Σy? - (Σyi)²/n] Find the sums required to calculater using the computing formula. Ex = Ey= Exiyi = | 2x = Σy = (Type integers or decimals. Do not round.) Using the computing formula, r=. (Round to three decimal places as needed.) The value in part (a) is ▼the value in part (b). C- 1 3 4 5 5