Assess Yourself

Are you ready to take this lesson's quiz? The questions below will help you find out. Make sure you understand why each correct answer is correct—if you don't, review that part of the lesson.

\( x \)-values from 0 to 10
\( y \)-values from 2 to 7
\( x \)-values from 6.25 to 9.5
\( x \)-values from 3 to 6.25

This domain covers the entire data set. The data set as a whole is non-linear, so it cannot be modeled with a linear equation. The linear portion of the data is shown in the scatterplot below: A non-linear scatter plot with the ordered pairs (0.75, 2), (1.5, 1.75), (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), (6.25, 6.75), (8.25, 7.75), and (9.5, 7) plotted. The ordered pairs (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), and (6.25, 6.75) are highlighted.

The domain is always based on \( x \)-values, not \( y \)-values. The linear portion of the data is shown in the scatterplot below: A non-linear scatter plot with the ordered pairs (0.75, 2), (1.5, 1.75), (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), (6.25, 6.75), (8.25, 7.75), and (9.5, 7) plotted. The ordered pairs (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), and (6.25, 6.75) are highlighted.

Although the data in this domain is linear, it is a very small portion of the entire data set. There is a linear portion of the data that includes a much larger portion of the data. This is shown in the scatterplot below: A non-linear scatter plot with the ordered pairs (0.75, 2), (1.5, 1.75), (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), (6.25, 6.75), (8.25, 7.75), and (9.5, 7) plotted. The ordered pairs (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), and (6.25, 6.75) are highlighted.

The linear portion of the data is shown on the scatterplot below: A non-linear scatter plot with the ordered pairs (0.75, 2), (1.5, 1.75), (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), (6.25, 6.75), (8.25, 7.75), and (9.5, 7) plotted. The ordered pairs (3, 2), (3.5, 3), (4, 4.25), (4.25, 3.5), (5, 5), (5.25, 6.25), (5.5, 5.5), and (6.25, 6.75) are highlighted. Over half the data points are in this linear portion. The domain is based on the highest and lowest \( x \)-values of the points in the linear portion.

(9, 6) and (7.5, 8)
(3, 7.75) and (7.5, 8)
(3, 7.75) and (9, 6)
(3, 7.75), (9, 6), and (7.5, 8)

There is a linear association as shown in the scatterplot below: A non-linear scatter plot with the ordered pairs (0.5, 5.25), (1.75, 5.5), (2, 6), (5.25, 7), (5.75, 6.75), (6, 7.25), (7.5, 8), and (9, 6) plotted. The ordered pairs (0.5, 5.25), (1.75, 5.5), (2, 6), (3, 7.75), (5.25, 7), (5.75, 6.75), (6, 7.25), and (7.5, 8) are highlighted. Two points are not part of this linear association and could be considered outliers. Even though the point (7.5, 8) seems removed from the rest of the data, it is still following a linear pattern as shown.

There is a linear association as shown in the scatterplot below: A non-linear scatter plot with the ordered pairs (0.5, 5.25), (1.75, 5.5), (2, 6), (5.25, 7), (5.75, 6.75), (6, 7.25), (7.5, 8), and (9, 6) plotted. The ordered pairs (0.5, 5.25), (1.75, 5.5), (2, 6), (3, 7.75), (5.25, 7), (5.75, 6.75), (6, 7.25), and (7.5, 8) are highlighted. Two points are not part of this linear association and could be considered outliers.

There is a linear association as shown in the scatterplot below: A non-linear scatter plot with the ordered pairs (0.5, 5.25), (1.75, 5.5), (2, 6), (5.25, 7), (5.75, 6.75), (6, 7.25), (7.5, 8), and (9, 6) plotted. The ordered pairs (0.5, 5.25), (1.75, 5.5), (2, 6), (3, 7.75), (5.25, 7), (5.75, 6.75), (6, 7.25), and (7.5, 8) are highlighted. Two points are not part of this linear association and could be considered outliers. Remember to ignore only one or two outliers when possible.

A non-linear scatter plot with the ordered pairs (0.5, 5.5), (1, 7), (3, 7.75), (3.75, 7.5), (4, 7), (5, 6.5), (6, 6.75), (7, 6), (8, 6), and (9, 4) plotted. A possible line of best fit is drawn through the ordered pairs (1, 8.25) and (7.5, 6).
A non-linear scatter plot with the ordered pairs (0.5, 5.5), (1, 7), (3, 7.75), (3.75, 7.5), (4, 7), (5, 6.5), (6, 6.75), (7, 6), (8, 6), and (9, 4) plotted. A possible line of best fit is drawn through the ordered pairs (3, 6.75) and (9.25, 5.5).
A non-linear scatter plot with the ordered pairs (0.5, 5.5), (1, 7), (3, 7.75), (3.75, 7.5), (4, 7), (5, 6.5), (6, 6.75), (7, 6), (8, 6), and (9, 4) plotted. A possible line of best fit is drawn through the ordered pairs (0.25, 7.5) and (7.5, 6.25).
A non-linear scatter plot with the ordered pairs (0.5, 5.5), (1, 7), (3, 7.75), (3.75, 7.5), (4, 7), (5, 6.5), (6, 6.75), (7, 6), (8, 6), and (9, 4) plotted. A possible line of best fit is drawn through the ordered pairs (0.5, 9.25) and (9.25, 3.5).

The linear portion of the data is in the domain that includes the \( x \)-values from 3 to 8. The line on this graph is centered and balanced on the linear data. This is the line of best fit for the linear data.

The linear portion of the data is in the domain that includes the \( x \)-values from 3 to 8. This line is centered and balanced for the entire set of data. This does not work because the entire set of data is non-linear.

The linear portion of the data is in the domain that includes the \( x \)-values from 3 to 8. This line is not balanced on the linear data because there are too many data points above the line on the left side and below the line on the right side.

The linear portion of the data is in the domain that includes the \( x \)-values from 3 to 8. This line looks at the data on the domain from 3 to 9. The point at (9, 4) should not be included in the linear portion of the data because it is lower than the linear pattern.

Questions answered correctly:

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