Correlation, Prediction, Coefficients
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An experiment was done to see if there was any correlation between the volume of water in a fish tank and the average length to which goldfish grew when they were hatched and raised in that tank. Here are the results. Draw a scattergram and compute r.
Fish Tank Volume, in Gallons Average Length of Fish, in Inches
0.5 1.8
1 2.1
2 2.2
4 2.9
5 3.3
PLEASE SHOW ALL WORK AND FULLY EXPLAIN EACH STEP. Thank you.
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Solution Summary
An experiment was done to see if there was any correlation between the volume of water in a fish tank and the average length to which goldfish grew when they were hatched and raised in that tank. Here are the results. Draw a scattergram and compute r.
Fish Tank Volume, in Gallons Average Length of Fish, in Inches
0.5 1.8
1 2.1
2 2.2
4 2.9
5 3.3
PLEASE SHOW ALL WORK AND FULLY EXPLAIN EACH STEP. Thank you.
Solution Preview
Scattergrams
The simplest thing we can do with two variables that we believe
are related is to draw a scattergram. A scattergram is a simple
graph that plots values of our dependent variable Y and independent
variable X. Normally we plot our dependent variable on the vertical axis and
the independent variable on the horizontal axis.
Just from our scattergram, we can sometimes get a fairly good idea
of the ...
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