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.
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.
...correlation coefficient=√ R Square==√ 0.942223742=0.9707. ... the y-intercept of the regression (prediction) line? ... the slope of the regression (predictions) line ...
... following contribute to the prediction error? ... that involve computing the correlation coefficients for various ... Compute the correlation coefficient for the data ...
...Coefficients Standard Error t Stat P-value Lower 95 ... 3 of 4 Name: Math 295 Correlation and Regression ... Y Interval Half Width 48.1174 Prediction Interval Lower ...
... Do you expect the correlation coefficient to be close or +1 or -1? Explain fully ... for this data, do you feel this line would give a good prediction of insurance ...
... The correlation coefficient has been calculated and tested for ... line has been used to make prediction. The coefficient of determination and the standard error ...
... should not be used to make predictions for companies ... It is possible that the correlation between ay and x ... A prediction interval generated from a simple linear ...
... f) If there is a linear correlation, what is the regression equation? ... The prediction interval gives information on individual predictions of the dependent ...
... Since the correlation coefiicient is high there is a strong ... Thus the 90% prediction interval for the individual value ... (b1 is the regression coefficients (or B ...
... g. Referring to part d and e develop and interpret a 90% prediction interval for the actual ...Correlations. ...Correlation is significant at the 0.01 level (2-tailed ...
... Therefore, the 95% confidence interval for the prediction is [30.0906, 85.404]. d. find the sample correlation coefficient r. r=Sxy/sqrt(Sxx*Syy)=42.8/sqrt ...
