Statistics: Concepts and Controversies - WebAssign and eBook Access
Statistics: Concepts and Controversies - WebAssign and eBook Access
9th Edition
ISBN: 9781319147976
Author: Moore
Publisher: MAC HIGHER
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Chapter 14, Problem 1CS
To determine

To explain: The overall pattern of the scatterplot.

Expert Solution & Answer
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Answer to Problem 1CS

Solution: The overall pattern is moderately linear as the points come nearly close to a line.

Explanation of Solution

The average SAT score is high for lesser proportion of state’s high school seniors who had taken SAT examinations. The average SAT score is moderate for moderate proportion of state’s high school seniors who had taken SAT examinations. The average SAT score is lowest for higher proportion of state’s high school seniors who had taken SAT examinations. All the observation forms a moderate linear pattern.

To determine: Whether there is positive or negative association.

Solution: The association between proportion of high school seniors who took SAT examinations and the average SAT score is negative.

Explanation: The lower proportion of high school seniors who appeared in SAT examinations corresponds to a higher average SAT score. That is, the proportion of high school seniors who took SAT examinations increases when the average SAT score decreases.

Therefore, there is a negative association between the proportion of high school seniors and the SAT score.

To determine: Whether the relationship is strong.

Solution: The strength of the relationship is moderately strong.

Explanation: The strength of relationship is considered as strong if the data points form a straight line. In the provided scatterplot, the data points come nearly close to a line.

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