Which of the following are true statements about the correlation coefficient r? I. A correlation coefficient...
Which of the following are true statements about the correlation coefficient r? I. A correlation coefficient of .3 means that 30% of the points are highly correlated. II. The square of the correlation measures the proportion of the y-variance that is predictable from a knowledge of x. III. Perfect correlation, that is, when the points lie exactly on a straight line is r = 0.
Homework Answers
The only true statement among the given ones is:
II. The square of the correlation measures the proportion of the y-variance that is predictable from a knowledge of x.
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Which of the following are true statements about the correlation
coefficient r? I. A correlation coefficient...
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.
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
Which of the following statements about the correlation, r, between Y and X is NOT true?...
Which of the following statements about the correlation, r, between Y and X is NOT true? A. r measures the strength of the linear association between Y and X. B. r does not provide any information about the strength of non-linear relationships. C. r = 0 means there is no relationship between Y and X. D. Calculating r is not appropriate if the distributions of Y and X are skewed with outliers.
If a researcher obtained an r of -0.85, what could you say about this correlation? -...
If a researcher obtained an r of -0.85, what could you say about this correlation? - This is a strong negative correlation. O This is a strong positive correlation. O This is a weak negative correlation. O This is a weak positive correlation. Question 4 1 pts If a researcher wanted to see if cumulative GPA predicts GRE scores, which of the two variables would be the predictor variable? The number of participants None of the other answers O GRE...
Select the answer that correctly identifies how many of the following statements are true for a...
Select the answer that correctly identifies how many of
the following statements are true for a simple linear regression
model. I) It has one independent and one dependent variable. II) It
describes a straight line relationship between the two variables.
III) It has no error term. IV) The slope parameter and the
correlation coefficient will have the same sign.
A
Only one of the statements is true.
B
Exactly two of the statements are true.
C
Exactly three of the...
A covariance coefficient is bounded between 1 and -1. True or False? A correlation of 1.0...
A covariance coefficient is bounded between 1 and -1. True or False? A correlation of 1.0 means that a scatterplot of X and Y would result in all the values falling on a straight, downward sloping line. True or False?
14. Multiple Choice Variables x and y have a correlation coefficient of r = 0.89. Which...
14. Multiple Choice Variables x and y have a correlation coefficient of r = 0.89. Which statement is best? a. There is a strong positive association between x and y and a straight line fit to the data cannot be substantially improved by fitting a curve to the data. b. There is a strong positive association between x and y and a straight line fit to the data can certainly be substantially improved by fitting a curve to the data....
(8 points) Match the following sample correlation coefficients with the explanation of what that correlation coefficient...
(8 points) Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r = -.15 2. r = 0 3. r = 1 4. r = -97 A. a strong negative relationship between x and y B. no relationship between x andy C. a weak negative relationship between x and y D. a perfect positive relationship between x and y Note: You can earn partial credit on...
1. Which is not true of R², the coefficient of determination ? a It is the...
1. Which is not true of R², the coefficient of determination ? a It is the square of the coefficient of correlation. b. It is calculated using sums of squares (e.g., SSR, SSE, SST). c. It reports the percent of the variation in Y explained by X. d. It is negative when there is an inverse relationship between X and Y.
TRUE or FALSE: Identify which of the following are valid statements and which ones are false. i. ...
TRUE or FALSE: Identify which of the following are valid statements and which ones are false. i. T F A ear odel is fit to a data set exhibiting a linear relationship. One of the data points is an outlier with respect to r, ie. its r-value is umisual compared to all other r-values but its y-value falls within the observed range of Y. Removing this data point likely change the estimated sample slope by a considerable amount ii. T...
If a researcher obtained an r of -0.85, what could you say about this correlation? - This is a strong negative correlation. O This is a strong positive correlation. O This is a weak negative correlation. O This is a weak positive correlation. Question 4 1 pts If a researcher wanted to see if cumulative GPA predicts GRE scores, which of the two variables would be the predictor variable? The number of participants None of the other answers O GRE...
Select the answer that correctly identifies how many of
the following statements are true for a simple linear regression
model. I) It has one independent and one dependent variable. II) It
describes a straight line relationship between the two variables.
III) It has no error term. IV) The slope parameter and the
correlation coefficient will have the same sign.
A
Only one of the statements is true.
B
Exactly two of the statements are true.
C
Exactly three of the...
14. Multiple Choice Variables x and y have a correlation coefficient of r = 0.89. Which statement is best? a. There is a strong positive association between x and y and a straight line fit to the data cannot be substantially improved by fitting a curve to the data. b. There is a strong positive association between x and y and a straight line fit to the data can certainly be substantially improved by fitting a curve to the data....
(8 points) Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r = -.15 2. r = 0 3. r = 1 4. r = -97 A. a strong negative relationship between x and y B. no relationship between x andy C. a weak negative relationship between x and y D. a perfect positive relationship between x and y Note: You can earn partial credit on...
1. Which is not true of R², the coefficient of determination ? a It is the square of the coefficient of correlation. b. It is calculated using sums of squares (e.g., SSR, SSE, SST). c. It reports the percent of the variation in Y explained by X. d. It is negative when there is an inverse relationship between X and Y.
TRUE or FALSE: Identify which of the following are valid statements and which ones are false. i. T F A ear odel is fit to a data set exhibiting a linear relationship. One of the data points is an outlier with respect to r, ie. its r-value is umisual compared to all other r-values but its y-value falls within the observed range of Y. Removing this data point likely change the estimated sample slope by a considerable amount ii. T...
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