Homework Answers
The correlation coefficient of two
random variables is always llies between -1 and 1
Answer: always
lies between -1 and 1
Note: If
then there is a perfect negative correlation between X and Y
If
then there is a perfect positive correlation between X and Y
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Answer can be one or multiple
Which of the following always hold(s) for correlation coefficient pxy...
Answer can be one or multiple Which of the following hold(s) for random variables X and...
Answer can be one or multiple
Which of the following hold(s) for random variables X and Y? X and Y are independent if they are uncorrelated O X and Y are uncorrelated if they are independent None of the above holds.
Which of the following is false? Correlation coefficient and the slope always have the same sign...
Which of the following is false? Correlation coefficient and the slope always have the same sign (positive or negative). If the correlation coefficient is 1, then the slope must be 1 as well. Correlation measures the strength of linear association between two numerical variables. If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them.
What does a correlation coefficient of 0 indicate? Choose the correct answer below. O A. There...
What does a correlation coefficient of 0 indicate? Choose the correct answer below. O A. There is no linear relationship between the two quantitative variables. O B. There is a weak relationship between the two quantitative variables. O C. It indicates a calculation error, as the correlation coefficient cannot be 0. O D. There is a strong relationship between the two quantitative variables. O E. It indicates a non-linear relationship between the two quantitative variables.
Determine if the following statement is true or false. A correlation coefficient close to 1 is...
Determine if the following statement is true or false. A correlation coefficient close to 1 is evidence of a cause-and-effect relationship between the two variables. The statement is true O A. False. Only a correlation coefficient close to 0 indicates a cause-and-effect relationship between the two variables O B. False. A correlation coefficient should not be interpreted as a cause-and-effect relationship O c. True, but only if all the conditions for correlation are met. False. A correla.on coefficient of 1...
Which of the following is FALSE about Correlations: We can use the Pearson Correlation Coefficient when...
Which of the following is FALSE about Correlations: We can use the Pearson Correlation Coefficient when both variables are measured on an interval or ratio scale A correlation examines the relation between two variables The Pearson Correlation Coefficient describes the relation between two variables in terms of the strength and direction of the relationship. A correlation implies causation
Consider the following competing hypotheses: He: Pxy = 0 НА: Рxy = 0 The sample consists...
Consider the following competing hypotheses: He: Pxy = 0 НА: Рxy = 0 The sample consists of 18 observations and the sample correlation coefficient is 0.15. (You may find it useful to reference the t table.) a-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic a-2. Find the p-value 0.05 s p-value <0.10 0.02 s p-value <0.05 0.01 s p value <0.02 pvalue...
MTQ 6- A coefficient of correlation is computed to be -2.0. It means that The relationship...
MTQ 6- A coefficient of correlation is computed to be -2.0. It means that The relationship between two variables is weak. The relationship between two variables is strong and positive The relationship between two variables is strong and negative Correlation coefficient cannot have this value 7- Which one of the following is not unbiased estimators Sample Proportions Sample Means Sample Variances Sample Medians
4) Which of the following statements regarding the correlation coefficient is not true?
Which of the following statements regarding the correlation coefficient is not true? A) The correlation coefficient has values that range from-1.0 to 1.0 inclusive. B) The correlation coefficient measures the strength of the linear relationship between two numerical variables C) A value of 0.00 indicates that two variables are perfectly linearly correlated D) All of these are true statements
Determine whether each of the following statements regarding the correlation coefficient is true or false. The...
Determine whether each of the following statements regarding the correlation coefficient is true or false. The correlation coefficient equals the proportion of times that two variables lie on a straight line. The correlation coefficient will be +1.0 if all the data points lie on a perfectly horizontal straight line. The correlation coefficient measures the strength of any relationship that may be present between two variables. The correlation coefficient must always lie between –1.0 and +1.0.
If correlation coefficient between two random variables is zero, then it can be certain that they...
If correlation coefficient between two random variables is zero, then it can be certain that they are also independent True False
Answer can be one or multiple
Which of the following hold(s) for random variables X and Y? X and Y are independent if they are uncorrelated O X and Y are uncorrelated if they are independent None of the above holds.
What does a correlation coefficient of 0 indicate? Choose the correct answer below. O A. There is no linear relationship between the two quantitative variables. O B. There is a weak relationship between the two quantitative variables. O C. It indicates a calculation error, as the correlation coefficient cannot be 0. O D. There is a strong relationship between the two quantitative variables. O E. It indicates a non-linear relationship between the two quantitative variables.
Determine if the following statement is true or false. A correlation coefficient close to 1 is evidence of a cause-and-effect relationship between the two variables. The statement is true O A. False. Only a correlation coefficient close to 0 indicates a cause-and-effect relationship between the two variables O B. False. A correlation coefficient should not be interpreted as a cause-and-effect relationship O c. True, but only if all the conditions for correlation are met. False. A correla.on coefficient of 1...
Consider the following competing hypotheses: He: Pxy = 0 НА: Рxy = 0 The sample consists of 18 observations and the sample correlation coefficient is 0.15. (You may find it useful to reference the t table.) a-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic a-2. Find the p-value 0.05 s p-value <0.10 0.02 s p-value <0.05 0.01 s p value <0.02 pvalue...
If correlation coefficient between two random variables is zero, then it can be certain that they are also independent True False
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