<quote option=""bhavyatayal1833"">A text written in an unknown language was recently discovered and then digitized and analyzed. The analysts divided the text into 7 sections- Sections A through G—and computed word frequencies by section for each word in the text. The table shows these frequencies for Words 1 through 6. For instance, the table shows that Word 1 appeared 1 time in Section A, and 10 times in Section C.<br />
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The analysts consider two words to be <i>correlational</i> if their frequencies in the 7 sections of the text were positively correlated.<br />
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For each of the following pairs of words, select <i>Yes</i> if the information provided suggests that the analysts would consider the two words correlational. Otherwise, select <i>No</i>.<br />
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<align option="center" style="text-align:center;"><b>Frequency of Certain Words, by Section</b></align><br />
Word |
Section | 1 | 2 | 3 | 4 | 5 | 6 |
A | 1 | 2 | 2 | 12 | 7 | 6 |
B | 2 | 4 | 3 | 2 | 6 | 10 |
C | 10 | 5 | 8 | 6 | 3 | 4 |
D | 4 | 7 | 7 | 7 | 5 | 12 |
E | 3 | 9 | 5 | 14 | 4 | 5 |
F | 1 | 11 | 4 | 5 | 2 | 3 |
G | 0 | 12 | 1 | 2 | 1 | 0 |
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</quote>Let us not sort the table. We will study the relation of 6 rows A-B, B-C, C-D, D-E, E-F, and F-G. A will have the base or initial value (of frequency) for each word.<br />
1. <b>Word 1 and 3</b>: Pick columns 1 and 3. We will consider section A i.e. the first row as the base or initial value with which we will compare the next rows whether they are increasing or decreasing. Notice, the values in row B increase from their respective values in row A. In row C, again there is an increase from their respective values in row B. This means the values in both columns 1 and 3 will either increase or decrease from their last values which suggests a correlation. <b>Yes</b>.<br />
2. <b>Word 3 and 5</b>: Pick columns 1 and 3. Row A has the base values. In row B, the value in word 3 increases but for word 5, it decreases. The same happens in row C. In row D, the value of word 3 decreases but word 5 increases. The other 3 rows are correlated. But what's the point when 3 out of 6 rows are not? <b>No</b>.<br />
3. <b>Word 5 and 6</b>: Pick columns 5 and 6. Only in row B, word 5 decreases but word 6 increases. The other rows will either increase or decrease in correlation. <b>Yes</b>.<br />
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Hope this helps.