A basketball coach gathered data from games where her team won the game after having a halftime lead and where her team lost the game after having a halftime deficit. She displayed the data in scatter plots.

Does either scatter plot indicate a positive correlation between the variables?

For either graph, we see that as x increases, y generally increases as well. Both variables increase together. So this is why we have positive correlation. Put another way, the regression line has a positive slope.

If both x and y decreased together, then we'd have positive correlation as well. All that matters is x and y go the same direction together. In contrast, negative correlation is whenever x goes up but y goes down, or vice versa. Little to no linear correlation is whenever the points are either scattered randomly, or they fit a nonlinear pattern (eg: quadratic).

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet