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(Solved): Find the Correlation Coeffecient, Regression Line and RMSE (of the regression line) Find the Correl ...



Find the Correlation Coeffecient, Regression Line and RMSE (of the regression line)

Find the Correlation coefficient, The Regression Line, and the RMSE of the regression line for the following eight data pairs
Find the Correlation coefficient, The Regression Line, and the RMSE of the regression line for the following eight data pairs of data:


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First, let's calculate the correlation coefficient   
Compute the individual products of the    values for each data pair.
Compute the sum of these products.
Compute the sum of    values   , the sum of Y values    the sum of squared    values   , and the sum of squared Y values   Apply the correlation coefficient formula:

  
Next, let's find the regression line.   
1. Compute the slope (b) using the formula:
  Where?    are the standard deviations of    respectively.
2. Compute the y-intercept (a) using the formula:
  


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