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it means that there are two numbers that are not constant. the value of each number is always related to the other based on an internal function/formual. those two vairables are usually related through a 3rd constant
For example, look at surface of a rectangle that is 100 square meters.
its length might be 10, and its width ten
or its length might be 20, and its width 5
the length and width are vairables (changing), but they are related in a way that they always produce the same constant (surface).
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Does a line graph show the relationship between three variables?
a simple 2d xy line graph has only the possibility for 2 different variables (x and y). for a 3 variable graph you would have to go into a 3d xyz graph with each variable as x, y and z. it is possible to fit a line to this but for an easier analysis it is better to analyse the variables in pairs.
What is plotted on the x axis of a line graph?
The independent variable - if there is one. A variable that is common to a number of pairs of variables that you wish to compare. For example, if you want to compare height and mass at various ages, the age would be on the x-axis.
What is the correlation coefficient symbol?
The answer is r.Actually 'r' is the usual symbol for the correlation coefficient statistic calculated for a sampleof paired values. The correlation coefficient for a population of pairs of random variables distributed according to a binomial normal distribution is usually denoted by the Greek letter 'rho'.
What is sample regression function?
To take a simple case, let's suppose you have a set of pairs (x1, y1), (x2, y2), ... (xn, yn). You have obtained these by choosing the x values and then observing the corresponding y values experimentally. This set of pairs would be called a sample.For whatever reason, you assume that the y's and related to the x's by some function f(.), whose parameters are, say, a1, a2, ... . In far the most frequent case, the y's will be assumed to be a simple linear function of the x's: y = f(x) = a + bx.Since you have observed the y's experimentally they will almost always be subject to some error. Therefore, you apply some statistical method for obtaining an estimate of f(.) using the sample of pairs that you have.This estimate can be called the sample regression function. (The theoretical or 'true' function f(.) would simply be called the regression function, because it does not depend on the sample.)
The following pairs of variables are all strongly correlated positively or negatively as indicated but for only some of them is there a cause-and-effect relationship between the variables Which o?
C.The Dow-Jones Industrial Average and careless spending (+)D.Time of the year and home heating bills (+)noA.In US cities in one year, number of sunny days and per capita income (-)B.Among US adult males, weight and amount of money spent on jewelry (+)E.An automobile's gas mileage and amount of food its driver consumes (+)
