Consider the following collection of ordered pairs: (1,1.1), (2,−5), (3,4), (4,2)

Question

Consider the following collection of ordered pairs: (1,1.1), (2,−5), (3,4), (4,2)

1. (a) Sketch the scatterplot.
2. (b) Based on the scatterplot, do you expect r to be close to 1 or −1? Explain your
3. answer.

(b) Compute the correlation coefficient. Does the correlation coefficient reflect the

scatterplot? Explain your answer.

Answer 1

The equation of the trend line and R-Coefficient are:

y = 1.17x - 2.4

and

0.389535

The graph and the R-Coefficient shows that the linear model is

NOT a good fit for this data

a 3rd degree polynomial is a better fit

If you are interested, I have the spreadsheet for you...