Make a scatterplot of the data with two new points added. a) 10% return, 25 new birds. b) 40% return, 5 new birds. Find two new correlations: for the original data plus Point A and for the original data plus Point B.

Khaleesi Herbert 2020-12-07 Answered
Make a scatterplot of the data with two new points added.
a) 10% return, 25 new birds.
b) 40% return, 5 new birds.
Find two new correlations: for the original data plus Point A and for the original data plus Point B.
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Expert Answer

Mitchel Aguirre
Answered 2020-12-08 Author has 94 answers

Step 1
The recentage return is on the horizontal axis and the new birds are on the vertical axis.
image
Step 2
Correlation coefficient for the original data including point A.
Find X  Y, X2 and Y2 as it was done in the table below.
XYX  YX  XY  Y 74.00000000000005.0000000000000037054762566.00000000000006.0000000000000039643563681.00000000000008.0000000000000064865616452.000000000000011.0000000000000572270412173.000000000000012.0000000000000876532914462.000000000000015.0000000000000930384422552.000000000000016.0000000000000832270425645.000000000000017.0000000000000765202528962.000000000000018.00000000000001116384432446.000000000000018.0000000000000828211632460.000000000000019.00000000000001140360036146.000000000000020.0000000000000920211640038.000000000000020.0000000000000760144440010.000000000000025.0000000000000250100625
Find the sum of every column to get:
 X=767,  Y=210,  X  Y=10403,  X2=46219,  Y2=3594
Use the following formula to work out the correlation coefficient.
r=n   XY   X   Y[n  X2  ( X)2]  [n  Y2  ( Y)2]
r=14  10403  767  210[14  46219  7672]  [14  3594  2102]  0.8071
Step 3
Correlation coefficient for the data including point B.
Find X  Y, X2 and Y2 as it was done in the table below.

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