The correlation between Income and IQ as measured on 100 people is r = 0 90. Exp

Question

The correlation between Income and IQ as measured on 100 people is r = 0 90. Explain whether or not each of the following possible conclusions is justified When Income increases IQ increases as well. The form of the relationship between Income and IQ is straight. There are no outliers in the scatterplot of IQ vs. Income. Whether we measure Income in dollars or cents the correlation will still be 0 90. Is this conclusion justified? Explain. Yes because the correlation coefficient between Income and IQ is negative. No, because the correlation coefficient between Income and IQ is negative. No, because the correlation coefficient between Income and IQ is positive. No, because this cannot be concluded from the correlation alone. There may be a nonlinear relationship or outliers. Yes, because the correlation coefficient between Income and IQ is positive. Is this conclusion justified? Explain. Yes, because the absolute value of the correlation coefficient is equal to 1. No, because the form of the relationship cannot be determined from the correlation. No, because the correlation coefficient is not equal to 0. No, because the absolute value of the correlation coefficient is not equal to 1. Yes, because the correlation coefficient is close to 1. Is this conclusion justified? Explain No, because the correlation coefficient does not provide evidence for or against the existence of outliers in the data. No because the absolute value of the correlation coefficient is not equal to 1. Yes, because the sample size is large. Yes, because the correlation coefficient is close to 1. Is this conclusion justified? Explain Yes, because only changing the units used for IQ changes the correlation coefficient. No because changing the units used for Income changes the correlation coefficient. Yes, because correlation depends on the z-scores and they are unaffected by change, in center or scale. No, because correlation depends on the z-scores, and they are affected by changes in center or scale.

Explanation / Answer

A. E, Yes because correlation is positive.

B. E, Yes because correlation is close to 1

C. A, No because correlation does not provide the evidence for or against the outliers in data

D. C, Yes because correlation depends on z-score and they are unaffected by the change in center or scale.

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