
Hours spent studying, x

1

1

3

4

4

6

(a)
x=2
hours 
(b)
x=3.5
hours 


Test score, y

40

45

50

47

61

69


(c)
x=13
hours 
(d)
x=4.5
hours 
Height, x

766

620

520

508

494

484


(a)
x=501
feet 
(b)
x=648
feet 

Stories, y

51

46

45

43

37

35


(c)
x=310
feet 
(d)
x=736
feet 
Calories, x

160

170

130

120

70

180


(a)
x=180
calories 
(b)
x=90
calories 

Sodium, y

430

480

320

380

280

510


(c)
x=150
calories 
(d)
x=200
calories 
A.
02000560CaloriesSodium (mg)
A scatterplot has a horizontal axis labeled “Calories” from 0 to 200 in increments of 20 and a vertical axis labeled “Sodium (in milligrams)” from 0 to 560 in increments of 40. The following points are plotted: 10 units to the right of and 220 units above the origin; 20 units to the right of and 120 units above the origin; 30 units to the right of and 280 units above the origin; 40 units to the right of and 330 units above the origin; 50 units to the right of and 180 units above the origin; 60 units to the right of and 210 units above the origin. A line falls from left to right and passes through the points (0, 266) and (130, 0). All coordinates are approximate.
B.
02000560CaloriesSodium (mg)
A scatterplot has a horizontal axis labeled “Calories” from 0 to 200 in increments of 20 and a vertical axis labeled “Sodium (in milligrams)” from 0 to 560 in increments of 40. The following points are plotted: 50 units to the right of and 180 units above the origin; 100 units to the right of and 280 units above the origin; 110 units to the right of and 80 units above the origin; 130 units to the right of and 330 units above the origin; 130 units to the right of and 380 units above the origin; 140 units to the right of and 410 units above the origin. A line falls from left to right and passes through the points (0, 466) and (227, 0). All coordinates are approximate.
C.
02000560CaloriesSodium (mg)
A scatterplot has a horizontal axis labeled “Calories” from 0 to 200 in increments of 20 and a vertical axis labeled “Sodium (in milligrams)” from 0 to 560 in increments of 40. The following points are plotted: 70 units to the right of and 280 units above the origin; 120 units to the right of and 380 units above the origin; 130 units to the right of and 320 units above the origin; 160 units to the right of and 430 units above the origin; 170 units to the right of and 480 units above the origin; 180 units to the right of and 510 units above the origin. A line rises from left to right and passes through the points (50, 219) and (100, 321). All coordinates are approximate.
D.
02000560CaloriesSodium (mg)
A scatterplot has a horizontal axis labeled “Calories” from 0 to 200 in increments of 20 and a vertical axis labeled “Sodium (in milligrams)” from 0 to 560 in increments of 40. The following points are plotted: 80 units to the right of and 330 units above the origin; 100 units to the right of and 300 units above the origin; 130 units to the right of and 430 units above the origin; 140 units to the right of and 370 units above the origin; 170 units to the right of and 460 units above the origin; 80 units to the right of and 330 units above the origin. A line rises from left to right and passes through the points (50, 225) and (100, 327). All coordinates are approximate.
Choose the correct answer below.
A.
B.
C.
D.
Choose the correct answer below.
A.
B.
C.
D.
Choose the correct answer below.
A.
B.
C.
D.
Choose the correct answer below.
A.
B.
C.
D.
Hours spent studying, x

0

2

2

3

5

5


(a)
x=4
hours 
(b)
x=2.5
hours 

Test score, y

38

45

52

49

64

73


(c)
x=15
hours 
(d)
x=3.5
hours 
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 xvalues, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city.
(a) Find the regression equation.
(b) Predict the value of y for x = 639.
(c) Predict the value of y for x = 345.
(d) Predict the value of y for x = 727.
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