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What exists if the y-coordinates decrease as the x-coordinates increase?
A negative correlation
What exists is the y-coordinates decrease and the x-coordinates increase?
Example: draw the graph where y = 10 - x , from x = 0 to 5 step 1
Is y equals 9 divided by x a proportional relationship?
Yes. It is inversely proportional. An increase in x results in a proportional decrease in y and vice versa.
Do the y-values increase drcrease or stay the same as the x-value increases?
The behavior of the y-values as the x-values increase depends on the specific relationship between the two variables. If the relationship is positive, the y-values will increase as the x-values increase. If the relationship is negative, the y-values will decrease. In some cases, the y-values may remain constant regardless of changes in the x-values.
How does the value of y change as the x value increase?
The change in the value of ( y ) as ( x ) increases depends on the relationship between the two variables. If ( y ) is a function of ( x ) that is increasing, then ( y ) will also increase as ( x ) increases. Conversely, if the relationship is decreasing, ( y ) will decrease as ( x ) increases. In cases where the relationship is non-linear or involves complex interactions, ( y ) may change in a more variable manner.
If the coefficient of determination is 0.81 the coefficient of correlation?
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)
How do you find percent increase and 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.
What does a positive correlation between variables x and y imply?
It implies that an increase in x is accompanied by an increase in y. And similarly, they decrease together.
What is a direct proportion?
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.
What exists if the y-coordinates decrease as the x-coordinates increase?
A negative correlation
In an inverse relationship how do the values of y change as the values of x increase?
Y would decrease in value as X increases in value.
When the y- value increase as the x-value decrease how can it be shown in a table?
By finding the differences between the x and y columns on the table.
What exists is the y-coordinates decrease and the x-coordinates increase?
Example: draw the graph where y = 10 - x , from x = 0 to 5 step 1
Is y equals 9 divided by x a proportional relationship?
Yes. It is inversely proportional. An increase in x results in a proportional decrease in y and vice versa.
Do the y-values increase drcrease or stay the same as the x-value increases?
The behavior of the y-values as the x-values increase depends on the specific relationship between the two variables. If the relationship is positive, the y-values will increase as the x-values increase. If the relationship is negative, the y-values will decrease. In some cases, the y-values may remain constant regardless of changes in the x-values.
How are direct variations different from inverse variations?
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.
How does the value of y change as the x value increase?
The change in the value of ( y ) as ( x ) increases depends on the relationship between the two variables. If ( y ) is a function of ( x ) that is increasing, then ( y ) will also increase as ( x ) increases. Conversely, if the relationship is decreasing, ( y ) will decrease as ( x ) increases. In cases where the relationship is non-linear or involves complex interactions, ( y ) may change in a more variable manner.
