Question Help ▼ A researcher wants to estimate the relationship between years of educational attainment (X) 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, S) and the sample covariance (Sxy). If S=87.12, s = 170.23, and Sxy = 116.25, 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.) O A. There is a weak linear association between X and Y. O B. There is a strong linear association between X and Y. O C. The points in the scatterplot have a steep slope. D. The points in the scatterplot lie very close to a straight line. Could the researcher make general inferences about the correlation between X and Y from the sample correlation value? O A. No, because the sample correlation value changes from sample to sample. O B. Yes, because the sample correlation an unbiased estimator for the population correlation. O C. Yes, because the sample correlation is a consistent estimator for the population correlation. O D. No, because the sample correlation is not an efficient estimator for the population correlation. Click to select your answer(s).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A researcher wants to estimate the relationship between years of educational attainment (X) 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, s) and the sample covariance (Syy).
If S = 87.12, s = 170.23, and Syy=116.25, then the sample correlation coefficient will be
%3D
(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. There is a weak linear association between X and Y.
B. There is a strong linear association between X and Y.
C. The points in the scatterplot have a steep slope.
D. The points in the scatterplot lie very close to a straight line.
Could the researcher make general inferences about the correlation between X and Y from the sample correlation value?
O A. No, because the sample correlation value changes from sample to sample.
O B. Yes, because the sample correlation is an unbiased estimator for the population correlation.
O C. Yes, because the sample correlation is a consistent estimator for the population correlation.
OD. No, because the sample correlation is not an efficient estimator for the population correlation.
Click to select your answer(s).
Ready
Type here to search
Transcribed Image Text:Question Help ▼ A researcher wants to estimate the relationship between years of educational attainment (X) 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, s) and the sample covariance (Syy). If S = 87.12, s = 170.23, and Syy=116.25, then the sample correlation coefficient will be %3D (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. There is a weak linear association between X and Y. B. There is a strong linear association between X and Y. C. The points in the scatterplot have a steep slope. D. The points in the scatterplot lie very close to a straight line. Could the researcher make general inferences about the correlation between X and Y from the sample correlation value? O A. No, because the sample correlation value changes from sample to sample. O B. Yes, because the sample correlation is an unbiased estimator for the population correlation. O C. Yes, because the sample correlation is a consistent estimator for the population correlation. OD. No, because the sample correlation is not an efficient estimator for the population correlation. Click to select your answer(s). Ready Type here to search
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