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Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r = 0, does that indicate that there is no association between these two variables? Choose the correct answer below. O A. No, because if r=0, the variables are in a perfect linear relationship. O B. Yes, because if r=0, the variables are completely unrelated. OC. No, because r does not measure the strength of the relationship, only its direction. O D. No, because while there is no linear correlation, there may be a relationship that is not linear.

Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r = 0, does that indicate that there is no association between these two variables? Choose the correct answer below. O A. No, because if r=0, the variables are in a perfect linear relationship. O B. Yes, because if r=0, the variables are completely unrelated. OC. No, because r does not measure the strength of the relationship, only its direction. O D. No, because while there is no linear correlation, there may be a relationship that is not linear.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. Correlation matrix: Variables Paper Glass Click here to view a table of critical values for the correlation coefficient. Раper 10.1399 Glass 0.1399 1 Determine the null and alternative hypotheses. Ho: P (Type integers or decimals. Do not round.) Identify the test statistic, r. r = (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r=. B. There are two critical values at r= ± State the conclusion. Because the absolute value of the test statistic is the positive critical value, there sufficient evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of a = 0.05. Click to select your answer(s).
Transcribed Image Text:A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. Correlation matrix: Variables Paper Glass Click here to view a table of critical values for the correlation coefficient. Раper 10.1399 Glass 0.1399 1 Determine the null and alternative hypotheses. Ho: P (Type integers or decimals. Do not round.) Identify the test statistic, r. r = (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r=. B. There are two critical values at r= ± State the conclusion. Because the absolute value of the test statistic is the positive critical value, there sufficient evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of a = 0.05. Click to select your answer(s).
Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no association between these two variables? Choose the correct answer below. A. No, because if r= 0, the variables are in a perfect linear relationship. B. Yes, because if r= 0, the variables are completely unrelated. O c. No, because r does not measure the strength of the relationship, only its direction. O D. No, because while there is no linear correlation, there may be a relationship that is not linear.
Transcribed Image Text:Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no association between these two variables? Choose the correct answer below. A. No, because if r= 0, the variables are in a perfect linear relationship. B. Yes, because if r= 0, the variables are completely unrelated. O c. No, because r does not measure the strength of the relationship, only its direction. O D. No, because while there is no linear correlation, there may be a relationship that is not linear.
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