Question

In: Statistics and Probability

The art of institutions of the development of the world. 1. The smaller, or more restricted,...

The art of institutions of the development of the world.

1. The smaller, or more restricted, a range of scores, the more likely that the Pearson correlation will overestimate the true strength of the relationship between two variables.. True or False


2. 2 scholars are studying a sample of 50 recently discovered aliens quantify their aggression on a scale of 1-100, with 100 being extremely aggressive. With the mean of 65 and STD of 6, range of scores that fall between the z-scores of -1.50 and +1.50 is 24. True or False

3. A regression line indicates the predicted Y score for each X score. True or False

4.Which relationship is stronger, r = +0.62 or r = –0.62?

Solutions

Expert Solution

1. The smaller, or more restricted, a range of scores, the more likely that the Pearson correlation will overestimate the true strength of the relationship between two variables.

Since, the value are closer the correlation can be over estimated

Hence, the answer is TRUE

2. 2 scholars are studying a sample of 50 recently discovered aliens quantify their aggression on a scale of 1-100, with 100 being extremely aggressive. With the mean of 65 and STD of 6, range of scores that fall between the z-scores of -1.50 and +1.50 is 24. True or False

Z = 1.5 = 65 + 1.5*6 = 65 + 9 = 74

Z = -1.5 = 65 - 1.5*6 = 65 - 9 = 56

Hence,X = 24 is not included

Hence, the answer is FALSE

3. A regression line indicates the predicted Y score for each X score. True or False

The line is plotted for predicted Y against X

Hence, the answer is TRUE

4.Which relationship is stronger, r = +0.62 or r = –0.62?

Since, the value of correlation in both the case is equal that is 0.62 in positive and negative, therefore, both the relationship are equally likely


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