191
Height (in feet)
Stories
1050
57
428
28
362
26
529
40
790
60
401
22
380
38
1454
110
1127
100
700
46
Table 12.4
a.
Using “stories” as the independent variable and “height” as the dependent variable, make a
scatter plot of the data.
b.
Does it appear from inspection that there is a relationship between the variables?
c.
Calculate the least squares line. Put the equation in the form of:
^
y
=
a
+
bx
d.
Find the correlation coefficient. Is it significant?
e.
Find the estimated heights for 32 stories and for 94 stories.
f.
Use the two points in (e) to plot the least squares line on your graph from (b).
g.
Based on the above data, is there a linear relationship between the number of stories in tall
buildings and the height of the buildings?
h.
Are there any outliers in the above data? If so, which point(s)?
i.
What is the estimated height of a building with 6 stories? Does the least squares line give an
accurate estimate of height? Explain why or why not.
j.
Based on the least squares line, adding an extra story adds about how many feet to a building?
k.
What is the slope of the least squares (bestfit) line? Interpret the slope.
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 Fall '08
 Ripol
 Statistics, Least Squares, Regression Analysis, Salary, Scatter plot

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