Question

In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient. Round to three decimal places.

Rainfall (in inches), x 11.7 10 14.6 13.7 20 11.5 8.2 16.8 17.2
Yield (bushels per acre), y 54.5 50.2 62.8 63 86.4 53.2 35.9 80 82.8
Options:
A. 0.998
B. 0.900
C. 0.899
D. 0.981

Answer 1

Answer: D. 0.981

Explanation:

Step 1: For the given data table on x^2

We square all values given to us

Step 2: we repeat Same for Y^2 table too.

Step 3: XY table we multiply x and y

Step 4: we make a summation of them all

Step 5: we input our summer value into our formula.

Step 6 : we arrive at our answer which is 0.981