Find the regression equation. 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 number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 0 2 2 4 5 6 39 45 51 49 63 68 (a) x = 2 hours (c) x = 12 hours (b) x = 2.5 hours (d) x 3.5 hours y = x + (D ☐ 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. A. B. Test score 0 80- 0 Π 8 Test score 80- 0- 0 Hours studying Hours studying (a) Predict the value of y for x = 2. Choose the correct answer below. A. 47.2 B. 49.5 C. 54.0 D. not meaningful (b) Predict the value of y for x = 2.5. Choose the correct answer below. A. 54.0 B. 49.5 C. 92.9 8 Test score 80- 0- 0 ✓ 8 Hours studying O Test score 0- D. 80- 8 Hours studying C. 54.0 D. not meaningful (b) Predict the value of y for x = 2.5. Choose the correct answer below. A. 54.0 B. 49.5 C. 92.9 D. not meaningful (c) Predict the value of y for x = 12. Choose the correct answer below. A. 47.2 B. 92.9 C. 49.5 D. not meaningful (d) Predict the value of y for x = 3.5. Choose the correct answer below. A. 47.2 B. 54.0 C. 92.9 D. not meaningful

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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Question
Find the regression equation.
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 number of hours 6 students spent for a test and their scores on that test are shown below.
Hours spent studying, x
Test score, y
0
2
2
4
5
6
39
45
51
49
63
68
(a) x = 2 hours
(c) x = 12 hours
(b) x = 2.5 hours
(d) x 3.5 hours
y = x + (D
☐ 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.
A.
B.
Test score
0
80-
0
Π
8
Test score
80-
0-
0
Hours studying
Hours studying
(a) Predict the value of y for x = 2. Choose the correct answer below.
A. 47.2
B. 49.5
C. 54.0
D. not meaningful
(b) Predict the value of y for x = 2.5. Choose the correct answer below.
A. 54.0
B. 49.5
C. 92.9
8
Test score
80-
0-
0
✓
8
Hours studying
O
Test score
0-
D.
80-
8
Hours studying
Transcribed Image Text:Find the regression equation. 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 number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 0 2 2 4 5 6 39 45 51 49 63 68 (a) x = 2 hours (c) x = 12 hours (b) x = 2.5 hours (d) x 3.5 hours y = x + (D ☐ 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. A. B. Test score 0 80- 0 Π 8 Test score 80- 0- 0 Hours studying Hours studying (a) Predict the value of y for x = 2. Choose the correct answer below. A. 47.2 B. 49.5 C. 54.0 D. not meaningful (b) Predict the value of y for x = 2.5. Choose the correct answer below. A. 54.0 B. 49.5 C. 92.9 8 Test score 80- 0- 0 ✓ 8 Hours studying O Test score 0- D. 80- 8 Hours studying
C. 54.0
D. not meaningful
(b) Predict the value of y for x = 2.5. Choose the correct answer below.
A. 54.0
B. 49.5
C. 92.9
D. not meaningful
(c) Predict the value of y for x = 12. Choose the correct answer below.
A. 47.2
B. 92.9
C. 49.5
D. not meaningful
(d) Predict the value of y for x = 3.5. Choose the correct answer below.
A. 47.2
B. 54.0
C. 92.9
D. not meaningful
Transcribed Image Text:C. 54.0 D. not meaningful (b) Predict the value of y for x = 2.5. Choose the correct answer below. A. 54.0 B. 49.5 C. 92.9 D. not meaningful (c) Predict the value of y for x = 12. Choose the correct answer below. A. 47.2 B. 92.9 C. 49.5 D. not meaningful (d) Predict the value of y for x = 3.5. Choose the correct answer below. A. 47.2 B. 54.0 C. 92.9 D. not meaningful
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