match the scatter plot or line of best fit to the correlation represented. answers can be used more than…

match the scatter plot or line of best fit to the correlation represented. answers can be used more than once. (4 points)\ny = 0.473x - 2\ny = - 0.359x - 4\npositive correlation\nnegative correlation

match the scatter plot or line of best fit to the correlation represented. answers can be used more than once. (4 points)\ny = 0.473x - 2\ny = - 0.359x - 4\npositive correlation\nnegative correlation

Answer

Explanation:

Step1: Analyze slope of linear - equations

For the equation $y = 0.473x-2$, the slope $m = 0.473>0$. A positive - slope indicates a positive correlation. For the equation $y=-0.359x - 4$, the slope $m=-0.359<0$. A negative - slope indicates a negative correlation.

Step2: Analyze scatter - plots

In a scatter - plot with a positive correlation, as the $x$ - values increase, the $y$ - values tend to increase. In a scatter - plot with a negative correlation, as the $x$ - values increase, the $y$ - values tend to decrease. The first scatter - plot shows points generally moving upwards from left to right, so it has a positive correlation. The second scatter - plot shows points generally moving downwards from left to right, so it has a negative correlation.

Answer:

First scatter - plot: Positive Correlation Second scatter - plot: Negative Correlation $y = 0.473x-2$: Positive Correlation $y=-0.359x - 4$: Negative Correlation