4. Which of the following is a correct statement about correlation? A. If the slope of the regression line is exactly 1, then the correlation is exactly 1. B. If the correlation is 0, then the slope of the regression line is undefined. C. Switching which variable is called x and which is called y changes the sign of the correlation. D. The correlation r is equal to the slope of the regression line when z-scores for the y-variable are plotted against z-scores for the x-variable. E. Changes in the measurement units of the variables may change the correlation.
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Which of the following is a correct statement about correlation? A. If the slope of the regression line is exactly 1, then the correlation is exactly 1. B. If the correlation is 0, then the slope of the regression line is undefined. C. Switching which variable is called x and which is called y changes the sign of the correlation. D. The correlation r is equal to the slope of the regression line when z-scores for the y-variable are plotted against z-scores for the x-variable. E. Changes in the measurement units of the variables may change the correlation.\
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9. Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.) a) A value of the linear correlation, r, near -1 means the data is tightly bundled around a line, and predictions within the scope of data are very reliable. b) When the slope of a linear regression equation is near 0, then the linear correlation between the two variables must also be near 0. c) The average error between the actual values and the predicted values of a least squares line will always be near zero. d) A positive correlation between two variables implies the slope of the regression line will also be positive.
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In simple linear regression, which of the following statements is correct when all the actual values of y are on an upward sloping regression line? a.The coefficient of determination is equal to one and the correlation coefficient is negative but the sign of the slope is positive. b.The correlation coefficient and the slope must both be equal to 1. c.The coefficient of determination and the correlation coefficient are both equal to 1 and the slope is positive. d.The correlation coefficient and the slope must both be equal to –1.
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