Pearson’s Correlation Coefficient, etc.  REG2b

Exercise:
  Body temperature measurements by mercury thermometer were compared with those taken by electric thermometer in 14 pediatric hospitalized patients. Results are show below.

   1) Plot the data as a scatter of points representing a pair of X and Y values.
   2) Calculate the simple linear regression equation by the method of least squares.
   3) Test the significance of the regression using analysis of variance procedure.
                 H0: The slope (β) =0    
                 HA: The slope (β) ≠0
   4) Calculate confidence Intervals for the regression coefficient.
   5) Estimate, with 95% confidence, the value of x with a specified value of y.
   6) Depict 95% confidence interval of Y estimate.
   7) Predict the value of y at a specified value of x, inversely.

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