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)
It implies that an increase in x is accompanied by an increase in y. And similarly, they decrease together.
It is the increase or decrease in some measure that is put into the context of the starting value. Generally speaking, the change from x to y is y - x. If y is greater than x then y - x is positive and so it is an increase, while if y is less than x then y - x is negative and so it is a decrease. The percentage increase (or decrease) is 100 times the change divided by the initial value. That is, 100*(y - x)/ x which is equal to 100*(y/x - 1) Normally, x should be positive. Otherwise you have the situation where a change from +50 to -25 = -150% and from -50 to +25 = -150% The same percentage changes, but very different stories behind them!
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.
Y would decrease in value as X increases in value.
By finding the differences between the x and y columns on the table.
A negative correlation
Example: draw the graph where y = 10 - x , from x = 0 to 5 step 1
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.
Yes. It is inversely proportional. An increase in x results in a proportional decrease in y and vice versa.
The value of x is directly proportional to to the value of y.hence when the value of x increases the value of y decrteses and vice verse
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.
There are an infinite number of solutions eg: (x = 1 y = 10). For every unit increase or decrease in x there is a corresponding unit change in y.
You have a negative correlation, or a line, getting lower as it goes further to the right.
This has a negative slope (it slopes 'down' as you move from left to right).
because quantity is on x axis and price is on y axis and as the price increase the demand decrease
That is a curve that slopes downward from top left to bottom right.
It is a relationship between two variables, x and y which is defined by xy = c where c is some constant. In such a relationship, an increase in x leads to a decrease in y and conversely.
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.
Axes do not increase or decrease so the question cannot be answered sensibly.
If a variable (such as y) is directly proportional to another variable (such as x), they both increase and decrease simultaneously. An equation for two directly proportional variables is:y = axIt's sort of like a linear equation, but it always goes through the origin.An example is y = 6x. Notice that it forms a straight line and crosses the origin, and that y and x increase in the same direction.
Let us say that we are considering two quantities which we can call x and y. These could be anything - temperature and pressure, population and crime rate, weight and height, etc. If these have a direct relationship (or a direct correlation as we might also call it) that means that if you increase one, you increase the other, or if you decrease one, you decrease the other. So if x increases, y also increases. If it is an inverse relationship (or correlation) that means that increasing one will decrease the other. If you get more x, you will then have less y. Note that there is a third alternative. Many things have no relationship, either direct or inverse, so if you increase x, that tells you nothing about what will happen with y. These quantities would be said to have no correlation.
If the table consists of a column of x values and a column of y values, and if the x values are in increasing order, ten the y values will be in decreasing order. The graph of y against x will have a downward slope. That is, the line or curve will be going from top left of the chart to bottom right.