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Coefficient of Multiple Correlation - R₁.₂₃, R₂.₁₃ & R₃.₁₂
Multiple correlation studies the relationship between one dependent variable and two or more independent variables. It shows how strongly a group of predictors together explain changes in the outcome. The multiple correlation coefficient (R) measures this combined relationship, ranging from 0 to 1. For example, sales (Y) may depend on advertising (X₁) and price (X₂). Common options include using regression models and correlation matrices. Important formulas include the multiple R, R², and regression equation Y = a + b₁X₁ + b₂X₂. Problems usually involve calculating R, interpreting R², and predicting Y using given data.
Coefficient of Multiple Correlation - R₁.₂₃, R₂.₁₃ & R₃.₁₂
- 1. Coefficient of Multiple Correlation Sundar BN Assistant Professor R₁.₂₃, R₂.₁₃ & R₃.₁₂
- 2. Options of Multiple CorrelationCo-efficient R₁.₂₃ = We study the multiple impacts of 2nd and 3rd Independent Variables on 1st Dependent Variable R₂.₁₃ = We study the multiple impacts of 1st and 3rd Independent Variables on 2nd Dependent Variable R₃.₁₂ = We study the multiple impacts of 1st and 2nd Independent Variables on 3rd Dependent Variable
- 3. Formula for Co-efficientof Multiple Correlation R₁.₂₃ = We study the multiple impacts of 2nd and 3rd Independent Variables on 1st Dependent Variable R₂.₁₃ =We study the multiple impacts of 1st and 3rd Independent Variables on 2nd Dependent Variable R₃.₁₂ = We study the multiple impacts of 1st and 2nd Independent Variables on 3rd Dependent Variable Where, R₁.₂₃ = Multiple correlation coefficient. r₁₂ is the total correlation coefficient between variable X₁ and X₂ And r₁₃ & r₂₃ = So on respectively Where, R ₂.₁₃ = Multiple correlation coefficient. r₁₃ is the total correlation coefficient between variable X₁ and X₃ And r₁₂, & r₂₃ = So on respectively Where, R ₃.₁₂ = Multiple correlation coefficient. r₂₃ is the total correlation coefficient between variable X2 and X3 r₁₂, r₁₃ & r₂₃ = So on respectively
- 4. If r₁₂=0.41, r₁₃=0.31, r ₂₃=0.30, find the multiple correlation R₁.₂₃ Problem #1
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- 6. If r₁₂=0.65, r₁₃=0.90,r₂₃=0.45, Calculate coefficient of multiple correlation R₂.₃₁ Problem #2
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- 8. Given the followingzero-order coefficients of correlation, calculate multiple coefficient of correlation taking third variable as Dependent and the other two variables as independent r₁₂=0.9, r₁₃=0.5 and r₂₃=0.4 Problem #3
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- 10. Problem #1 If r₁₂=0.77,r ₁₃=0.72, r ₂₃=0.52, find the multiple correlation R₁.₂₃ Assignmen t Problem #2 If r₁₂=0.70, r ₁₃=0.61, r ₂₃=0.40, find the multiple correlation R₁.₂₃
- 11. Reference Tailor, Rajesh (2017).“Unit-11 Multiple Coorelation. IGNOU.