B. (–1, –1), (0, 0), (1, 1), (2, 8)
D. (–1, 1), (0, 0), (1, 1), (2, 4)
An exponential function has the property that the y-values are multiplied by some common factor a when x incresses by 1.
We note that ench set of ordered pairs contains -1, 0, 1, and 2 as x-values, which are increments of 1.
Let us next determine the ratio of each pair of consecutive y-values for each option.
Answer option A
Answer option B
Answer option C
Answer option Does
We note that the three ratios are only constant for answer option C and thus answer option C could be generated by an exponential function.
Unusual points Each of the four scatterplots that follow shows a cluster of points and one “stray” point. For each, answer these questions:
1) In what way is the point unusual? Does it have high leverage, a large residual, or both?
2) Do you think that point is an influential point?
3) If that point were removed, would the correlation be- come stronger or weaker? Explain.
4) If that point were removed, would the slope of the re- gression line increase or decrease? Explain
Which two of the four scatter plots have most positive correlation and closer to zero correlation