Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city.

Height,x	772	628	518	508	496	483		(a) x=502 feet	(b) x=652 feet
Stories, y	51	48	45	43	38	37		(c) x=798 feet	(d) x=725 feet

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Part 1

Find the regression equation.

y=0.0420.042x+(19.5919.59)

(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)

Part 2

Choose the correct graph below.

A.

0800060Height(feet)Stories

A scatterplot has a horizontal axis labeled Height in feet from 0 to 800 in increments of 200 and a vertical axis labeled Stories from 0 to 60 in increments of 10. The following points are plotted: (762, 33), (608, 33), (488, 30), (458, 43), (336, 28), (283, 37). A trend line that falls from left to right passes through the points (200, 48), and (600, 45). All coordinates are approximate.

B.

0800060Height(feet)Stories

A scatterplot has a horizontal axis labeled Height in feet from 0 to 800 in increments of 200 and a vertical axis labeled Stories from 0 to 60 in increments of 10. The following points are plotted: (782, 56), (638, 53), (528, 50), (518, 48), (506, 43), (493, 42). A trend line that rises from left to right passes through the points (200, 38), and (600, 55). All coordinates are approximate.

C.

0800060Height(feet)Stories

A scatterplot has a horizontal axis labeled Height in feet from 0 to 800 in increments of 200 and a vertical axis labeled Stories from 0 to 60 in increments of 10. The following points are plotted: (772, 51), (628, 48), (518, 45), (508, 43), (496, 38), (483, 37). A trend line that rises from left to right passes through the points (200, 28), and (600, 45). All coordinates are approximate.

D.

0800060Height(feet)Stories