Question

Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point) Responses x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 300 700 1000 650 300 100 700 x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 300 700 1000 650 300 100 700 x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 500 500 400 650 150 400 750 x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 500 500 400 650 150 400 750 x 5 8 2 4 6 12 10 1 3 7 y 550 800 350 450 700 1000 900 250 400 750 x 5 8 2 4 6 12 10 1 3 7 y 550 800 350 450 700 1000 900 250 400 750 x 5 8 2 4 6 12 10 1 3 7 y 800 700 350 450 500 1000 900 250 400 750

Answer 1

To determine which scatterplot shows a linear association based on the provided data tables, we need to analyze the patterns of the (x, y) coordinates from each table.

### Data Analysis

**Table 1**:
- (5, 550), (8, 800), (2, 250), (4, 300), (6, 700), (12, 1000), (10, 650), (1, 300), (3, 100), (7, 700)

The first table seems to have a nonlinear pattern because there's no clear single line that fits the data points.

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**Table 2**:
- (5, 550), (8, 800), (2, 250), (4, 300), (6, 700), (12, 1000), (10, 650), (1, 300), (3, 100), (7, 700)

This table contains the same data as the first table, and thus exhibits similar patterns, which seem nonlinear.

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**Table 3**:
- (5, 550), (8, 800), (2, 250), (4, 500), (6, 500), (12, 400), (10, 650), (1, 150), (3, 400), (7, 750)

In this table, the y-values fluctuates at certain x-values. For example, at x = 6, the y-value is 500, and at x = 12, it's lower (400). This inconsistency suggests a nonlinear trend.

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**Table 4**:
- (5, 550), (8, 800), (2, 250), (4, 500), (6, 500), (12, 400), (10, 650), (1, 150), (3, 400), (7, 750)

This table is similar to the third, and thus portrays a similar pattern of no linear correlation.

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**Table 5**:
- (5, 800), (8, 700), (2, 350), (4, 450), (6, 500), (12, 1000), (10, 900), (1, 250), (3, 400), (7, 750)

This last table shows more variability in the y-values compared to their corresponding x-values, indicating potential nonlinear association.

### Conclusion

None of the tables appear to exhibit a clear linear association based on the standard analysis of trends in the scatterplots. Points do not line up to form a straight line in any of these datasets. For linear relationships, you would typically expect a more uniform distribution of points along a straight line (regardless of slope).

If you're using visual plotting tools, it might be easier to identify linearity more clearly, but based on the given coordinates, it seems none show a linear relationship.