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	775	619	519	508	491	474		(a) x=503 feet	(b) x=650 feet
Stories, y	53	47	45	43	37	35		(c) x=318 feet	(d) x=726 feet

Question content area bottom

Part 1

Find the regression equation.

y=enter your response herex+enter your response here

(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: (765, 35), (599, 32), (489, 30), (458, 43), (331, 27), (274, 35). A trend line that falls from left to right passes through the points (200, 42), and (600, 38). 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: (775, 53), (619, 47), (519, 45), (508, 43), (491, 37), (474, 35). A trend line that rises from left to right passes through the points (200, 25), and (600, 45). 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: (785, 58), (629, 52), (529, 50), (518, 48), (501, 42), (484, 40). A trend line that rises from left to right passes through the points (200, 35), and (600, 55). All coordinates are approximate.

D.

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: (755, 33), (599, 37), (499, 35), (488, 33), (471, 27), (454, 25). A trend line that falls from left to right passes through the points (200, 34), and (600, 31). All coordinates are approximate.

Part 3

(a) Predict the value of y for

x=503.

Choose the correct answer below.

A.40

40

B.47

47

C.51

51

D.

not meaningful

Part 4

(b) Predict the value of y for

x=650.

Choose the correct answer below.

A.47

47

B.40

40

C.31

31

D.

not meaningful

Part 5

(c) Predict the value of y for

x=318.

Choose the correct answer below.

A.47

47

B.51

51

C.31

31

D.

not meaningful

Part 6

(d) Predict the value of y for

x=726.

Choose the correct answer below.

A.51

51

B.40

40

C.31

31

D.

not meaningful