You can graph the values and see if the points fall on a straight line. You can also calculate delta-y / delta-x (i.e., difference between y values / difference in x values) for pairs of adjacent points, and see whether this value is the same in all cases. Or at least similar - you may want to allow for errors in measurement, or rounding errors.
The product-moment correlation coefficient or PMCC should have a value between -1 and 1. A positive value shows a positive linear correlation, and a negative value shows a negative linear correlation. At zero, there is no linear correlation, and the correlation becomes stronger as the value moves further from 0.
If the figures in the table are exact and without measurement error then take any two of the points (x1, y1) and (x2, y2) and use these to form the linear relation y - y1 = ((y2 - y1)/(x2 - x1))(x - x1) If, however, you suspect that the values in the table do not exactly follow a linear relationship then use linear regression for which formulae are provided in wikipedia.
If we are talking about a linear equation in the form y = mx + b, then all linear equations are functions. Functions have at most one y value to every x value (there may be more than one x value to every y value, and some x- and y-values may not be assigned at all); all linear equations satisfy this condition.Moreover, linear equations with m ≠ 0 are invertible functions as well, which means that there is at most one x-value to every y-value (as well as vice versa).
A linear equation can have only one zero and that is the value of the variable for which the equation is true.
A linear or non linear function is a function that either creates a straight line or a crooked line when graphed. These functions are usually represented on a table under the headings x and y.
For a linear I can see no advantage in the table method.
There are several ways to do that. For example, you can actually graph the function. Or, you can check the ratio of the differences between the points. If this ratio (change in y, divided by change in x) is constant, the function is linear.
The table has a pattern to it!
Not necessarily.
Linear Average is the initial value plus the final value divided by two.
A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.
You can write ordered pairs as ratios to determine if two sets of ordered pairs form a linear or non-linear relationship. In a table of x,y values, the ordered pairs are listed as the x value first, then the corresponding y value. Remove from the table and write as a ratio of x over y, (or y over x, if you like). In a linear relationship, all the ratios of x over y, (or y over x) are equivalent.
I have a small Feudal table, looks like a telephone table and would like to know the estimated value.
Linear and Exponetional.
explain vector table?
To convert decibels to a linear scale, you can use the formula: linear value = 10^(decibels / 10). Conversely, to convert a linear value to decibels, you can use the formula: decibels = 10 * log10(linear value).
When the x-intercept is equal to zero, the value of y is the y-intercept. If you don't have zero on the table, use the formula y=mx+b, where m is the slope, and b is the intercept.