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 significantcorrelation.) Then use the regression equation to predict the value of y for each of the givenx-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

778

621

519

510

494

473

(a) x=500 feet

(b) x=642 feet

Stories, y

51

47

46

41

39

37

(c) x=802 feet

(d) x=726 feet

Find the regression equation.

y=

nothing

x+

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

Choose the correct graph below.

A.

0

800

0

60

Height(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: (778, 51), (621, 47), (519, 46), (510, 41), (494, 39), (473, 37). A trend line that rises from left to right passes through the points (200, 29), and (600, 45). All coordinates are approximate.

B.

0

800

0

60

Height(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: (788, 56), (631, 52), (529, 51), (520, 46), (504, 44), (483, 42). A trend line that rises from left to right passes through the points (200, 39), and (600, 55). All coordinates are approximate.

C.

0

800

0

60

Height(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: (758, 31), (601, 37), (499, 36), (490, 31), (474, 29), (453, 27). A trend line that falls from left to right passes through the points (200, 28), and (600, 25). All coordinates are approximate.

D.

0

800

0

60

Height(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: (768, 33), (601, 32), (489, 31), (460, 41), (334, 29), (273, 37). A trend line that falls from left to right passes through the points (200, 49), and (600, 46). All coordinates are approximate.

a) Predict the value of y for x=500. Choose the correct answer below.

A.

50

B.

47

C.

41

D.

not meaningful

(b) Predict the value of y for x=642. Choose the correct answer below.

A.

53

B.

41

C.

47

D.

not meaningful

(c) Predict the value of y for x=802. Choose the correct answer below.

A.

47

B.

50

C.

53

D.

not meaningful

(d) Predict the value of y for x=726. Choose the correct answer below.

A.

50

B.

41

C.

53

D.

not meaningful