1. A relationship between height (in inches) and arm length (in inches) was found to have a correlation coefficient of r = 0.985. Describe the relationship between the variables.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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1. A relationship between height (in inches) and arm length (in inches) was found to have a
correlation coefficient of r = 0.985. Describe the relationship between the variables.
2. The scatterplot shows a relationship between the TVs purchased and price. Which best
describes the relationship between the variables? (Circle the letter of choice.)
A. Strong, positive, linear correlation
Best Buy
B. Weak, positive, linear correlation
1500
1250
1000
C. Strong, negative, linear correlation
750
500
D. Weak, negative, linear correlation
250
10
20 30 40
Number of TVs
3. The table provides information on hours studied and corresponding test scores.
Hours
1
2
3
3.5
4
4
5
5.5
Studied
Test
65
80
73
82
81
87
90
88
92
Score
a. Using your calculator, calculate the correlation coefficient.
b. Use part a to describe the relationship between the variables.
Prices per TV
Transcribed Image Text:1. A relationship between height (in inches) and arm length (in inches) was found to have a correlation coefficient of r = 0.985. Describe the relationship between the variables. 2. The scatterplot shows a relationship between the TVs purchased and price. Which best describes the relationship between the variables? (Circle the letter of choice.) A. Strong, positive, linear correlation Best Buy B. Weak, positive, linear correlation 1500 1250 1000 C. Strong, negative, linear correlation 750 500 D. Weak, negative, linear correlation 250 10 20 30 40 Number of TVs 3. The table provides information on hours studied and corresponding test scores. Hours 1 2 3 3.5 4 4 5 5.5 Studied Test 65 80 73 82 81 87 90 88 92 Score a. Using your calculator, calculate the correlation coefficient. b. Use part a to describe the relationship between the variables. Prices per TV
3. CONTINUED:
c. Using your calculator, determine the regression equation.
d. What is the rate of change AND interpret it in terms of the context of the problem.
e. What is the y-intercept AND interpret it in terms of the context of the problem.
f. Predict a student’s test score if they were to study for 2.5 hours.
g. In part f, was this interpolation or extrapolation. Explain your answer.
h. Predict a student’s test score if they were to study for 8 hours.
i. In part h, was this interpolation or extrapolation. Explain your answer.
Transcribed Image Text:3. CONTINUED: c. Using your calculator, determine the regression equation. d. What is the rate of change AND interpret it in terms of the context of the problem. e. What is the y-intercept AND interpret it in terms of the context of the problem. f. Predict a student’s test score if they were to study for 2.5 hours. g. In part f, was this interpolation or extrapolation. Explain your answer. h. Predict a student’s test score if they were to study for 8 hours. i. In part h, was this interpolation or extrapolation. Explain your answer.
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