r = Computer the value of the correlation coefficient. Round the answer to three

Question

r =

Computer the value of the correlation coefficient. Round the answer to three decimal places.

Next Previous 31 32 33 3435 36 37 38 39 Question 39 of 39 (1 point) View problem in a 10.1 Section Exercise 17ab,c,de (critical table A researcher wishes to see if there is a relationship between the number of reported cases of measles A and mumps for a recent 5-year period. Is there a linear relationship between the two variables? Measles Cases | 45 145 64 57 207 Mumps Cases 1829 480 1991 2638 373 Download data Che Guide Show Ask My Link to Part 1 Draw the scatter plot for the variables. Measles and Mumps Measles Save fo Subr Assign

Explanation / Answer

Here we have to calculate the correlation coefficient r

so first we will calculate mean and stadnard deviation of Measales case and mumps case.

and for each valeu we will calculate

Zx = ( X - X)/ X ; Zy = (Y - x)/ y

Now we will calculate ZxZy that equals to -3.58803

r = ZxZy /(n-1) = -3.58803/ 4 = -0.897

Measles Case (X) Mumps Case(Y) Zx Zy ZxZy 45 1829 -0.8376 0.3569 -0.29892 145 480 0.5917 -0.9849 -0.58281 64 1991 -0.5660 0.5180 -0.29321 57 2678 -0.6661 1.2013 -0.80018 207 373 1.4779 -1.0913 -1.61292 Mean 103.6 1470.2 Sum -3.58803 Std. Dev. 69.963 1005.372

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