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FutureStarrA Change in Y Calculator
Y to change in calculator is a free online tool from BYJU'S that helps to calculate the rate of change (slope) of one quantity with respect to another quantity. The input quantities to the change in calculator are usually time and the second input is usually the corresponding quantity. For example, a change in child tax rate of 10% would correspond to a change in child time of 10%.
The rate of change is expressed in the form of a ratio between the change in one variable and a corresponding change in the other variable. Another way of describing the rate of change is by using a linear function. Thus, we can also say that the rate of change is represented by the slope of a line. Suppose the equation of a straight line is given by y = mx + c. Here, 'm' is known as the slope and it represents the rate of change. The rate of change is given by the following formulas:
To find the regression equation, first hit STAT, cursor right to CALC and select option 4:LinReg(ax+b). Now press 2nd 1 , 2nd 2 , to specify the x list and y list. (REMEMBER THE COMMAS! You do not have to specify the lists if you are using L1 and L2 for your x and y-values, respectively.) Hit VARS, cursor right to Y-VARS, select 1:Function... and Y1 (or whichever function you would like) to specify where the regession equation will be saved. You should now see the following on your home screen: (Source: www.math.tamu.edu)
Use either the point slope form or slope intercept form equation and work out the math to rearrange the equation into standard form. Note that the equation should not include fractions or decimals, and the x coefficient should only be positive.
This online average rate of change calculator allows you to find the change of a given function between two different points. Well, the good news is this handy calculator provides the step-by-step solution with a fraction of a second, which is very useful for the students and tutors, who are working with the average rate of change. (Source:calculator-online.net))