The line of best fit indicate about the correlation between the variables is D. There is a positive correlation . Therefore , D. There is a positive correlation is correct .
This indicates that there is a positive correlation between the two variables.
A positive correlation means that as the value of one variable increases, the value of the other variable also tends to increase.
The other answer choices are incorrect:
A. There is no correlation. A line of best fit would be horizontal if there was no correlation between the two variables.
B. The correlation varies from positive to negative. A line of best fit would be wiggly or curvy if the correlation varied from positive to negative.
C. There is a negative correlation. A line of best fit would slope downwards if there was a negative correlation between the two variables.
A line of best fit is a line that is drawn through a scatterplot to show the overall trend of the data. It is also called a regression line.
The slope of the line of best fit indicates the direction of the correlation between the two variables.
If the slope is positive, then there is a positive correlation. If the slope is negative, then there is a negative correlation.
If the slope is zero, then there is no correlation.
The strength of the correlation is indicated by the R-squared value.
The R-squared value is a number between 0 and 1, where 1 indicates a perfect correlation and 0 indicates no correlation.
A higher R-squared value indicates a stronger correlation.
In the image you provided, the line of best fit is sloping upwards.
This indicates that there is a positive correlation between the two variables.
The R-squared value is not shown in the image, but it is likely to be high since the line of best fit fits the data points very well.
Here is an example of a positive correlation:
Variable 1: Height
Variable 2: Weight
People who are taller tend to weigh more.
This is because taller people have more muscle mass and bone density.
The line of best fit for a scatterplot of height vs. weight would slope upwards, indicating a positive correlation.