Question

In: Statistics and Probability

Given the following sample observations, draw a scatter diagram on a separate piece of paper. X:−7,−16,13,3,16...

Given the following sample observations, draw a scatter diagram on a separate piece of paper.

X:−7,−16,13,3,16

Y:54,24,11,57,1,342

  1. Compute the correlation coefficient. (Round your answer to 3 decimal places.)

  2. Does the relationship between the variables appear to be linear?

  3. Try squaring the x variable and then determine the correlation coefficient. (Round your answer to 3 decimal places.)

Solutions

Expert Solution

Compute the correlation coefficient. (Round your answer to 3 decimal places.)

Use Formula "=CORREL(Array 1, Array 2)" in excel

correlation coefficient r = 0.249

2. Does the relationship between the variables appear to be linear?

Yes there is a weak positive linear relationship between x and y variable

3. Try squaring the x variable and then determine the correlation coefficient. (Round your answer to 3 decimal places.)

After squaring the x variable, correlation coefficent r = 0.960

It is a strong positive linear relationship between the variables


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