Which set of ordered pairs could be generated by an exponential function? A. (-1,-1/2), (0, 0),(1,1/2), (2, 1) B. (–1, –1), (0, 0), (1, 1), (2, 8) C. (-1,1/2), (0, 1), (1, 2), (2, 4) D. (–1, 1), (0, 0), (1, 1), (2, 4)

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

Make a scatterplot of the data. Use the year on the horizontal scale and the number of ounces on the vertical scale.
Available Drink Sizes at a Convenience Store Year, Sizes Available (cm)
1973: 12, 20
1976: 12, 16, 20
1978: 12, 16, 20, 32
1983: 12, 16, 20, 32, 44
1988: 12, 16, 20, 32, 44, 64
2003: 12, 20, 32, 44, 64
2005: 20, 32, 44, 64

Using the health records of ever student at a high school, the school nurse created a scatterplot relating ${\displaystyle y=\text{height (in centimeters) to}x=\text{age (in years).}}$
${\displaystyle \text{After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be}{\mu }_0=105+4.2x\text{with}\sigma =7cm.}$ About what percent of 15-year-old students at this school are taller than 180 cm?

Which two of the four scatter plots have most positive correlation and closer to zero correlation

Given a scatterplot for a set of data, how can you draw an accurate trend line?

Two scatterplots are shown below.
Scatterplot 1
A scatterplot has 14 points.
The horizontal axis is labeled "x" and has values from 30 to 110.
The vertical axis is labeled "y" and has values from 30 to 110.
The points are plotted from approximately (55, 60) up and right to approximately (95, 85).
The points are somewhat scattered.
Scatterplot 2
A scatterplot has 10 points.
The horizontal axis is labeled "x" and has values from 30 to 110.
The vertical axis is labeled "y" and has values from 30 to 110.
The points are plotted from approximately (55, 55) steeply up and right to approximately (70, 90), and then steeply down and right to approximately (85, 60).
The points are somewhat scattered.
Explain why it makes sense to use the least-squares line to summarize the relationship between x and y for one of these data sets but not the other.
Scatterplot 1 seems to show a relationship between x and y, while Scatterplot 2 shows a relationship between the two variables. So it makes sense to use the least squares line to summarize the relationship between x and y for the data set in , but not for the data set in .

Make a scatterplot for the data.
Length (mi) and Water Flow (${\displaystyle 1000f\frac{t^3}{s}}$) of rivers
Length: 2540, 1980, 1460, 1420, 1290, 1040, 886, 774, 724, 659
Flow: 76, 225, 41, 58, 56, 57, 68, 67, 67, 41