# SOLUTION: Which of the following statements regarding the coefficient of correlation is true? A) It ranges from -1.0 to +1.0 inclusive B) It measures the strength of the relati

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Which of the following statements regarding the coefficient of correlation is true? A) It ranges from -1.0 to +1.0 inclusive B) It measures the strength of the relati      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 177113: Which of the following statements regarding the coefficient of correlation is true? A) It ranges from -1.0 to +1.0 inclusive B) It measures the strength of the relationship between two variables C) A value of 0.00 indicates two variables are not related D) All of the above E) None of the above Which value of r indicates the strongest correlation? A) -0.30 B) -0.50 C) +0.48 (would C be correct?) D) 0.00 E) None of the above What does a coefficient of correlation of 0.70 mean? A) Almost no correlation because 0.70 is close to 1.0 B) 70% of the variation in one variable is explained by the other C) Coefficient of determination is 0.49 D) Coefficient of nondetermination is 0.30 E) None of the above What is the range of values for a coefficient of correlation? A) 0 to +1.0 B) -3 to +3 inclusive C) -1.0 to +1.0 inclusive D) Unlimited range E) None of the above If the correlation coefficient between two variables equals zero, what can be said of the variables X and Y? A) Not correlated B) Dependent on each other C) Highly correlated D) All of the above are correct E) None of the above is correct What can we say if the coefficient of determination is 0.94? A) Strength of relationship is 0.94 B) Direction of relationship is positive C) 94% of total variation in one variable is explained by variation in the other variable D) All of the above are correct E) None of the above is correct What does the coefficient of determination equal if r = 0.89? A) 0.94 B) 0.89 C) 0.79 D) 0.06 E) None of the above What does it mean if r = -1.00? A) Dependent variable can be perfectly predicted by the independent variable. B) All of the variation in the dependent variable can be accounted for by the independent variable. C) High values of one variable are associated with low values of the other variable. D) Coefficient of determination equals one. E) All of the above are correct A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If the sample consists of 27 observations and the correlation coefficient is 0.60, then what is the computed value of the test statistic? A) 4.69 C) 4.75 B) 3.75 D) 18.75 E) None of the above What is the range of values for the coefficient of determination? A) -1 to +1 inclusive B) -3 to +3 inclusive C) -1 to 0 inclusive D) 0 to +1 inclusive E) None of the above In the regression equation, what does the letter "a" represent? A) Y intercept B) Slope of the line C) Any value of the independent variable that is selected D) None of the aboveAnswer by stanbon(57282)   (Show Source): You can put this solution on YOUR website!Which of the following statements regarding the coefficient of correlation is true? A) It ranges from -1.0 to +1.0 inclusive B) It measures the strength of the relationship between two variables C) A value of 0.00 indicates two variables are not related D) All of the above E) None of the above Ans: D --------------------------------------------- Which value of r indicates the strongest correlation? A) -0.30 B) -0.50 C) +0.48 (would C be correct?) D) 0.00 E) None of the above Ans: B The negative sign does not mean "no relation", it is as strong a measure of correlation as +0.50 ---------------------------------- What does a coefficient of correlation of 0.70 mean? A) Almost no correlation because 0.70 is close to 1.0 B) 70% of the variation in one variable is explained by the other C) Coefficient of determination is 0.49 D) Coefficient of nondetermination is 0.30 E) None of the above Ans: E --------------------------------------- What is the range of values for a coefficient of correlation? A) 0 to +1.0 B) -3 to +3 inclusive C) -1.0 to +1.0 inclusive D) Unlimited range E) None of the above Ans: C ------------------------------------------ If the correlation coefficient between two variables equals zero, what can be said of the variables X and Y? A) Not correlated B) Dependent on each other C) Highly correlated D) All of the above are correct E) None of the above is correct Ans: E ------------------------------------------ What can we say if the coefficient of determination is 0.94? A) Strength of relationship is 0.94 B) Direction of relationship is positive C) 94% of total variation in one variable is explained by variation in the other variable D) All of the above are correct E) None of the above is correct Ans: D ------------------------------------------- What does the coefficient of determination equal if r = 0.89? A) 0.94 B) 0.89 C) 0.79 D) 0.06 E) None of the above A: B ------------------------------------- What does it mean if r = -1.00? A) Dependent variable can be perfectly predicted by the independent variable. B) All of the variation in the dependent variable can be accounted for by the independent variable. C) High values of one variable are associated with low values of the other variable. D) Coefficient of determination equals one. E) All of the above are correct Ans: B -------------------------------------- A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If the sample consists of 27 observations and the correlation coefficient is 0.60, then what is the computed value of the test statistic? A) 4.69 C) 4.75 B) 3.75 D) 18.75 E) None of the above Ans: B is the closest to my chart reading. ----------------------------------------------- What is the range of values for the coefficient of determination? A) -1 to +1 inclusive B) -3 to +3 inclusive C) -1 to 0 inclusive D) 0 to +1 inclusive E) None of the above Ans: A --------------------------------------- In the regression equation, what does the letter "a" represent? A) Y intercept B) Slope of the line C) Any value of the independent variable that is selected D) None of the above Ans: That depends on your textbook. "a" could be the slope or the intercept. ------------------------------------------- Cheers, Stan H.