# 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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