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Consider the following sets of data in terms of x and y. The coefficientcorrelation, r, is a measure of the type of relationship which exist

Consider the following sets of data in terms of x and y. The coefficientcorrelation, r, is a measure of the type of relationship which exist between x and y given a straight line basis.

x 1 2 3 4 5 6
y 4 8 9 11 11 15

Calculate the following:

  1. the coefficient of correlation and interpret
  2. The coefficient of determination and interpret
  3. The least squares regression line of y on x ( y = m x + c)
  4. The gradient
  5. They-intercept
  6. Estimate the value of :
  7. y when x = 8
  8. x when y =20
  9. Plot the scatter-diagram based on the data above.

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