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Chapter 3: Q 33. (page 175)

The scatterplot shows reading test scores against IQ test scores for 14 fifth-grade children. There is one low outlier in the plot. What effect does this low outlier have on the correlation?

a. It makes the correlation closer to 1.

b. It makes the correlation closer to 0 but still positive.

c. It makes the correlation equal to 0.

d. It makes the correlation negative.

e. It has no effect on the correlation.

Short Answer

Expert verified

The correct option is (b) It makes the correlation closer to0 but still positive.

Step by step solution

01

Given information

02

Explanation

It is well known that the existence of an outlier in a data collection lowers the linearity of the variables. And as the linearity of the relationship declines, so does the correlation's value. The presented plot shows a direct relationship between IQ and test score, but due to the presence of the correlation, the correlation has become zero. Thus, the correct option is (b).

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Most popular questions from this chapter

Suppose that the measurements of arm span and height were converted from centimeters to meters by dividing each measurement by 100. How will this conversion affect the values of r2 and s?

a. r2 will increase, s will increase.

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d. Suppose the researchers reversed the variables, using x = dive duration and y = depth.

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If we leave out the low outlier, the correlation for the remaining 13 points in the preceding figure is closest to

a. 鈭�0.95.

b. 鈭�0.65.

c. 0.

d. 0.65.

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When we standardize the values of a variable, the distribution of standardized values has a mean of 0 and a standard deviation of 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that

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e. the correlation will also be 鈭�0.44.
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