Which statements are always true about a scatter plot with a positive trend? Select all that apply
- The slope of the line of best fit is positive
- The correlation coefficient is positive
- As one variable increases, the other variable tends to increase as well
- The scatter plot points have a general upward trend when plotted on a graph.
1. The y-values generally increase as the x-values increase.
2. The points on the scatter plot will typically form an upward-sloping line.
3. The correlation coefficient will be positive.
4. The scatter plot will show a strong relationship between the variables.
The following statements are always true about a scatter plot with a positive trend:
1. As the independent variable increases, the dependent variable also tends to increase.
2. The points on the graph tend to form an upward-sloping line or curve.
3. There is a positive correlation between the independent and dependent variable.
To determine which statements are always true about a scatter plot with a positive trend, we need to understand what a positive trend represents.
A scatter plot is used to visualize the relationship between two variables. A positive trend means that as one variable increases, the other variable also increases.
Here are the statements that are always true about a scatter plot with a positive trend:
1. The data points generally form a pattern that slopes upward from left to right. This indicates a positive relationship between the variables.
2. The correlation coefficient (r-value) will be greater than zero. The correlation coefficient measures the strength and direction of the relationship between the variables, and a positive trend implies a positive correlation.
3. The regression line, if plotted, will have a positive slope. The regression line represents the best-fit line that minimizes the distance between the line and the data points. In a scatter plot with a positive trend, the regression line will slant upward.
Therefore, the correct statements that are always true about a scatter plot with a positive trend are 1, 2, and 3.