A researcher wants to estimate the relationship between years of educational attainment (✗) and the average yearly earnings of individuals (Y). For this, he collects data from a random sample of 104 individuals. From this data, he calculates the sample variances (S), S2) and the sample covariance (Sxy). If S² = 87.12, S² = 175.76, and Sxy = 118.10, then the sample correlation coefficient will be (Round your answer to two decimal places). Which of the following statements can be inferred from the value of the sample correlation coefficient calculated above? (Check all that apply.) A. The points in the scatterplot have a steep slope. B. There is a strong linear association between X and Y. C. The points in the scatterplot lie very close to a straight line. D. There is a weak linear association between X and Y. Could the researcher make general inferences about the correlation between X and Y from the sample correlation value? A. No, because the sample correlation is not an efficient estimator for the population correlation. B. No, because the sample correlation value changes from sample to sample. C. Yes, because the sample correlation is a consistent estimator for the population correlation. D. Yes, because the sample correlation is an unbiased estimator for the population correlation.
A researcher wants to estimate the relationship between years of educational attainment (✗) and the average yearly earnings of individuals (Y). For this, he collects data from a random sample of 104 individuals. From this data, he calculates the sample variances (S), S2) and the sample covariance (Sxy). If S² = 87.12, S² = 175.76, and Sxy = 118.10, then the sample correlation coefficient will be (Round your answer to two decimal places). Which of the following statements can be inferred from the value of the sample correlation coefficient calculated above? (Check all that apply.) A. The points in the scatterplot have a steep slope. B. There is a strong linear association between X and Y. C. The points in the scatterplot lie very close to a straight line. D. There is a weak linear association between X and Y. Could the researcher make general inferences about the correlation between X and Y from the sample correlation value? A. No, because the sample correlation is not an efficient estimator for the population correlation. B. No, because the sample correlation value changes from sample to sample. C. Yes, because the sample correlation is a consistent estimator for the population correlation. D. Yes, because the sample correlation is an unbiased estimator for the population correlation.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
Related questions
Question
please also answer correctly.
Transcribed Image Text:A researcher wants to estimate the relationship between years of educational attainment (✗) and the average yearly earnings of individuals (Y). For this, he collects data from a random sample of
104 individuals. From this data, he calculates the sample variances (S), S2) and the sample covariance (Sxy).
If S² = 87.12, S² = 175.76, and Sxy = 118.10, then the sample correlation coefficient will be
(Round your answer to two decimal places).
Which of the following statements can be inferred from the value of the sample correlation coefficient calculated above? (Check all that apply.)
A. The points in the scatterplot have a steep slope.
B. There is a strong linear association between X and Y.
C. The points in the scatterplot lie very close to a straight line.
D. There is a weak linear association between X and Y.
Could the researcher make general inferences about the correlation between X and Y from the sample correlation value?
A. No, because the sample correlation is not an efficient estimator for the population correlation.
B. No, because the sample correlation value changes from sample to sample.
C. Yes, because the sample correlation is a consistent estimator for the population correlation.
D. Yes, because the sample correlation is an unbiased estimator for the population correlation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt