Drag each graph to show if the given data has a positive correlation, a negative correlation, or no correlation.

Mathematics

2 answers:

Arlecino [84]3 years ago

6 0

1 = positive
2 = no
3 = positive
4 = negative

Gemiola [76]3 years ago

3 0

Answer:

First graph = positive correlation

Second graph = no correlation

Third graph = positive correlation

Fourth graph = negative correlation

Step-by-step explanation: Correlation is the measure of how two or more variables are related to one another. Regarding the first and third graphs, the "y" variable tends to increase as the "x" variable increases, so the points seem to be going in an upward direction; therefore, these graphs represent a positive correlation. Regarding the fourth graph, the "y" variable tends to decrease as the "x" variable increases, so the points seem to be going in an downward direction; therefore, this graph represents a negative correlation. Regarding the second graph, the "y" variable tends to stay somewhat the same as the "x" variable increases, so the points seem to be going neither upwards nor downwards; therefore, this graph has no correlation.

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{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I ge

nasty-shy [4]

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

x - 3y = -3

-3y = -x - 3

Divide both sides by -3:

$\frac{-3y}{-3} = \frac{-x - 3}{-3}$

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

x + y = 5

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

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