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Answer:
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A statement which does not describe a characteristic of the line of best fit for a scatter plot is that: A. the line of best fit should be the average of all the data points.
<h3>What is a scatter plot?</h3>
A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
<h3>What is a line of best fit?</h3>
A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.
<h3>The characteristics of a
line of
best fit.</h3>
The statements which describe a characteristic of the line of best fit for a scatter plot include the following:
- The line should be as close to the points as possible.
- The number of points above the line should be equal to the number of points below the line.
- The distance between the points above the line and the line should be relatively equal to the distance between the points below the line and the line.
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The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
A few fundamental principles apply to density curves:
- A density curve's area beneath it represents probability.
- A density curve's area under it equals one.
- Base x height in a uniform density curve equals one.
- The likelihood that x = a will never occur.
- The likelihood that x < a is the same as that of x ≤ a.
Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.
Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
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