Question

describe and correct the error made in describing the association of the following data table. the data in the table show positive association because y is increasing. a. in the table, y increases from left to right. data with y - values that increase from left to right on a table show negative association. b. as x increases, y decreases. this means the data in the table show negative association. c. in the table, y increases from left to right. however, adjacent y - values do not always differ by the same amount. this means the data in the table show no association. d. in the table, x decreases from left to right. data with x - values that decrease from left to right on a table show negative association. e. one x - value, 17, occurs twice and corresponds to two different y - values, 7 and 8. this means the data in the table show no association.

Explanation:

Step1: Analyze the data trend

Looking at the table, as x - values decrease from 19 to 11, y - values increase from 3 to 12.

Step2: Evaluate each option

Option A says y increases from left - to - right. But as x decreases from left - to - right, y increases, so this is wrong. Option B says as x increases, y decreases, which is incorrect as x is decreasing while y is increasing. Option C says y increases from left - to - right, but the correct relationship is based on x decreasing. Option D is correct because as x values decrease from left - to - right (e.g., 19 to 18, 18 to 17 etc.), the y values increase (e.g., 3 to 6, 6 to 7 etc.).

Answer:

D. In the table, x decreases from left to right. Data with x values that decrease from left to right on a table show positive association because y is increasing.