A negative correlation
Example: draw the graph where y = 10 - x , from x = 0 to 5 step 1
Yes. It is inversely proportional. An increase in x results in a proportional decrease in y and vice versa.
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Two variables, x and y are said to be in direct variation with one another if they are related by an equation of the form y = cx where c (>0) is the constant of [direct] variation. In the coordinate plane, this equation gives rise to a straight line, through the origin, and with a gradient (slope) = c. What this means that both x and y are 0 together, and that every increase (or decrease) in x results in an increase (decrease) of c times that amount in y.
Given co-efficient of determination, r2 = 0.81. co-efficient of correlation, r = square root of 0.81 = +0.9, if the data have move in the same direction.(Let x and y as variables then x and y have linear relationship and x increase or decrease and y also have increase or decrease) = -0.9, if the data have move in the opposite direction.(Let x and y as variables then x and y have linear relationship and x decrease or increase and y is also increase or decrease)
If you start with a value x and end with a value y thenPercentage change = 100*(y/x - 1)If y > x then the above is positive and is a percentage increase andif y < x then the above is negative and is a percentage decrease.
It implies that an increase in x is accompanied by an increase in y. And similarly, they decrease together.
Two quantities x and y are said to be in direct proportion if whenever the value of x increase (or decrease), then the value of y increases (or decrease) in such a way that the ratio x/y remains constant.
A negative correlation
Y would decrease in value as X increases in value.
By finding the differences between the x and y columns on the table.
Example: draw the graph where y = 10 - x , from x = 0 to 5 step 1
Yes. It is inversely proportional. An increase in x results in a proportional decrease in y and vice versa.
Consider two variables x and y. If x varies directly as y then y = cx where c is some constant of variation. This means that whenever x increases, y increases and it increases by c times as much as the increase in x. Also, if x decreases, then y decreases by c times the decrease in x. If x varies inversely as y then y = k/x where k is some constant of variation. This means that whenever x increases, y decreases and it decreases by k times as much as the increase in x. Also, if x decreases, then y increases by k times the decrease in x.
To increase something means to make it bigger, and to decrease something means to make it smaller. These are used often with numerical values (numbers), e.g. I increased (made bigger) 20 to 30. Here I am increasing by 10, etc.
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