Which statements are always true about a scatter plot with a positive trend? Select all that apply.
A. The points will form a straight line.
B. As the x-value increases, the y-value increases.
C. The points will show a general upward trend from left to right on the graph.
D. There will not be any outliers.
The correct statements are:
B. As the x-value increases, the y-value increases.
C. The points will show a general upward trend from left to right on the graph.
To determine which statements are always true about a scatter plot with a positive trend, let's analyze each option:
A. The points will form a straight line.
This statement is not always true for a scatter plot with a positive trend. While a positive trend indicates that, on average, as the x-values increase, the y-values tend to increase, it does not necessarily mean that the points will form a straight line. In fact, scatter plots can have various patterns even with a positive trend, such as being more spread out or clustered.
B. As the x-value increases, the y-value increases.
This statement is always true for a scatter plot with a positive trend. A positive trend means that as the x-value increases, the y-value tends to increase as well.
C. The points will show a general upward trend from left to right on the graph.
This statement is always true for a scatter plot with a positive trend. Since a positive trend implies that the y-values tend to increase as the x-values increase, the points will generally show an upward trend from left to right on the graph.
D. There will not be any outliers.
This statement is not always true for a scatter plot with a positive trend. Outliers are data points that significantly deviate from the general pattern of the data. While a positive trend suggests a general upward trend, outliers can still exist in the data, representing unusual observations that do not follow the trend.
In conclusion, the statements that are always true about a scatter plot with a positive trend are:
- As the x-value increases, the y-value increases.
- The points will show a general upward trend from left to right on the graph.
Therefore, options B and C are the correct answers.