Answer:
B.
Explanation:
Please find the attachment.
We have been given a scatter plot and we are asked to find the equation that could represent the relationship shown in the scatter plot.
Let us see our given choices one by one.
A.
The given equation has a negative slope, which indicates that when x variable will increase y variable will decrease.
We can see that our data trend has a positive correlation as x variables are increasing our y variables are also increasing, therefore, option A is not a correct choice.
B.
We can see from our given data that with each increase in x variables approximately all y variables increase by half.
If we draw a line of best fit, it will pass through point (0,7), which will be y-intercept of our line. We can see from our attachment that approximately all the points are equidistant from our line of best fit.
Therefore, option B is the correct choice.
C.
This equation represents a slope of 3, which means with each increase in x our y variables will increase 3 times as x. As y-intercept is not given, this means that y-intercept will be at origin (0,0). If we draw a line passing origin with a slope of 3, almost data points will lie below that line.
As y variables are not increasing three times as x variables, therefore, option C is not a correct choice either.
D.
If we draw a line passing through point (0,-1) with a slope of 2.5, almost data points will lie above that line. Therefore, option D is not a correct choice as well.