Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Question 3

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.
508
42
Height, x
Stories, y
Stories
A.
Find the regression equation.
y=x x +
(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
Choose the correct graph below.
O
^
60-
0-
0
OA. 41
O
Height (feet)
800
(a) Predict the value of y for x = 502. Choose the correct answer below.
772
51
O A. 47
OB. 54
OC. 41
O D. not meaningful
628
48
B. 51
C. 47
O D. not meaningful
(b) Predict the value of y for x = 641. Choose the correct answer below.
O A. 51
B. 54
(c) Predict the value of y for x = 802. Choose the correct answer below.
518
44
OC. 47
OD. not meaningful
(d) Predict the value of y for x = 736. Choose the correct answer below.
B.
Stories
60-
0+
0
800
Height (feet)
Q
496
39
Q
483
38
C.
Stories
↑
60+
0-
0
(a) x = 502 feet
(c) x = 802 feet
800
Height (feet)
(b) x = 641 feet
(d) x = 736 feet
D.
60-
1:
800
Stories
0+
0
Height (feet)
expand button
Transcribed Image Text: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. 508 42 Height, x Stories, y Stories A. Find the regression equation. y=x x + (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. O ^ 60- 0- 0 OA. 41 O Height (feet) 800 (a) Predict the value of y for x = 502. Choose the correct answer below. 772 51 O A. 47 OB. 54 OC. 41 O D. not meaningful 628 48 B. 51 C. 47 O D. not meaningful (b) Predict the value of y for x = 641. Choose the correct answer below. O A. 51 B. 54 (c) Predict the value of y for x = 802. Choose the correct answer below. 518 44 OC. 47 OD. not meaningful (d) Predict the value of y for x = 736. Choose the correct answer below. B. Stories 60- 0+ 0 800 Height (feet) Q 496 39 Q 483 38 C. Stories ↑ 60+ 0- 0 (a) x = 502 feet (c) x = 802 feet 800 Height (feet) (b) x = 641 feet (d) x = 736 feet D. 60- 1: 800 Stories 0+ 0 Height (feet)
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