In a story written in December 2002, the Des Moines Register reported on the percentages of students who qualify for Free/Reduced lunch programs in the elementary schools in Des Moines, Iowa. The data, by elementary school, appears in the table below. The data presented in the table about the Des Moines, Iowa, elementary schools was from an article that related the percent of children eligible for Free and Reduced lunch and teacher experience. The percent of children eligible for Free/Reduced lunch is generally regarded as an indicator of the socio-economic status of a neighborhood. The concern of the Des Moines Register in the article was that the least experienced teachers typically teach students from low-income families. The accompanying scatter plot shows the data from the article.
(a)If the Des Moines Register is correct, what sort of pattern should "ideally" appear in the scatter plot?
(b)Does this pattern emerge in these data? (Hint: Consider separately those schools with less than 75% eligibility, and those with greater than 75% eligibility for Free/Reduced lunch.)
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