Which is the expected correlation between two variables chosen at random from th

Question

Which is the expected correlation between two variables chosen at random from the theoretical "pool" of all variables in the world? +1.00 0.00 plus or minus .50 -1.00 In which of the following pairs of variables is there NOT a clear independent and dependent variable? Age of car/value of ear Amount of aspirin consumed/frequency of headaches Length of arm/length of leg Phone bill/number of phone calls If the coefficient of determination equals .55 between the number of people who attend college and family income (among various cities), 55 percent of the variability in the number of people who attend college in these cities has not been determined 55 percent of the variability in the number of people who attend college in these cities and family income in those cities is shared variance there is no relationship between college attendance and income all of the above When dots on a scatter plot A form a pattern that is more spread out than dots on scatter plot B (both scatter plots can be assumed to be based on the same sample size) Scatter plot B illustrates a weaker correlation than scatter plot A Scatter plot B illustrates a stronger correlation than scatter plot A Scatter plot A illustrates a high positive correlation Scatter plot A illustrates an identical to scatter plot B What is the value of the correlation of the following set of data? (there is no need to compute r) X Y 5 3 3 1 2 0 4 2 0.00 +1.00 -1.00 +.50

Explanation / Answer

11. The expected correlation between two variables chosen at random from the theoretical 'pool' of all variables is 0.0. Since correlation co-efificient lies between -1 and 1. So the expected value of correlation co-efficient is 0. So option (b) is the correct choice.

12. There is no dependency between length of arm and length of leg. So option (c) is the correct choice.

13. Co-efficient of determination is a measure of the proportion of variability of the the dependent variable explained by the model. So option (b) is the correct choice.

14. Scatterplot B illustrates stronger correlation than scatterplot A. So option (b) is the correct choice.

15. Clearly X = Y +2. So there is a perfect positive linear relationship. So the correlation is +1. So option (b) is the correct choice.

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