Chapter 12, Problem 72H

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building

(beginning at street level).

Height (in feet)	Stories
1,050	57
428	28
362	26
529	40
790	60
401	22
380	38
1,454	110
1,127	100
700	46

Table 12.24

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. Based on the data in Table 12.24, is there a linear relationship between the number of stories in tall buildings

and the height of the buildings?

g. Are there any outliers in the data? If so, which point(s)?

h. What is the estimated height of a building with six stories? Does the least squares line give an accurate estimate

of height? Explain why or why not.

i. Based on the least squares line, adding an extra story is predicted to add about how many feet to a building?

j. What is the slope of the least squares (best-fit) line? Interpret the slope.