Correlation, Prediction, Coefficients
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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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 ...
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.
Simple Linear Regression
Interpreting Summary Output for Simple Linear Regression
(Round all calculations to 4 places.)
Using the second attached BALDOR data and Excel output, complete the following:
1. What is the value of the correlation coefficient?
2. What is the value of the coefficient of determination?
3. What is the value of the y-intercept of the regression (prediction) line?
4. What is the value of the slope of the regression (predictions) line?
5. Write the prediction equation for this set of data.
6. Is the prediction equation significant?
7. Is the correlation coefficient significant (p < .05)?
8. What percent of the variation in the dependent variable (y) is explained (accounted for) by the independent variable (x)?
9. Compute predicted y for x = 10.
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