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The relationship between X and Y is linear only if it is of a form:
Y=mX+b, or Y=(m/X)+b
If they are related in other forms, such as:
Y=X2, or
Y=nX5+mX3+b, or
Y= SQRT(X), or
Y= COS (X),
or many other relationships, it is not linear.
* * * * *
Nearly correct.
Y=(m/X)+b is not a linear relationship but a [translated] inverse relationship. The curve of the graph is a hyperbola, not a straight line.
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What is y equals x over 11?
It is a linear relationship between x and y.
What does it mean when the slope of the line varied?
It means that the relationship between the x and y variables is not linear.
Can a best fit line be inverse?
Yes, but not at the level of mathematics you are at. In elementary statistics, the line of best fit (if it exists) is always a straight line representing a linear relationship between two variables. The equation of the line is most often calculated using the least squares method. [This minimises the sum of the squares of the vertical differences between the values "predicted" by the line and those actually recorded. The process always leads to a straight line. However, in more advanced statistics, you will learn about transformations. If the relationship between two variables, X and Y, is an inverse relationship, then the relationship between 1/X and Y is linear and you can fit a linear best fit line to the data set given by 1/X and Y. This can then be used to calculate the best fit inverse curve.
What do you call the relationship between two sets of data?
If the answer you are expecting is correlation, then you are wrong. Correlation refers only to linear relationship between two variables. The correlation for any even relationship over a symmetric domain will be 0. Thus, if y = x2 between the values -a < x < a (for some a), the correlation between y and x will be 0 but few would contend that there is no relationship between the two.
A graph of charles's law shows the relationship between?
A graph of Charles' Law shows the relationship between Volume vs. Temperature. Volume is placed on the y axis and temperature on the x axis. The relationship is linear if temperature is in units of Kelvin.
What is y equals x over 11?
It is a linear relationship between x and y.
What is a non linear realtionship?
A nonlinear relationship is one that cannot be expressed using a line. y=3x is a linear relationship between x and y. y = log(x) is nonlinear.
Which data set shows a linear relationship existing between X and Y?
yes
What does it mean when the slope of the line varied?
It means that the relationship between the x and y variables is not linear.
What is The measure of the relationship between two variables?
correlation * * * * * Only if the relationship is linear. For example, the correlataion between y and x when y = x2 is zero. But a very strong relationship between the two variables.
What is uncorrelated variables means?
Correlation is a way of testing whether there is a linear relationship between two variables of their transformed versions. If there is no correlation then all that it means is that there is no linear relationship between the two or between their transformed versions. It certainly does not mean that there is no relationship. For example, if y = a*x^2 + b where a and b are constants then, because of symmetry, the correlation between x and y is 0.
What does no correlation mean in a function?
It means that there is no linear relationship between the argument of the function, x, and the functional value, f(x) or y.
Can a best fit line be inverse?
Yes, but not at the level of mathematics you are at. In elementary statistics, the line of best fit (if it exists) is always a straight line representing a linear relationship between two variables. The equation of the line is most often calculated using the least squares method. [This minimises the sum of the squares of the vertical differences between the values "predicted" by the line and those actually recorded. The process always leads to a straight line. However, in more advanced statistics, you will learn about transformations. If the relationship between two variables, X and Y, is an inverse relationship, then the relationship between 1/X and Y is linear and you can fit a linear best fit line to the data set given by 1/X and Y. This can then be used to calculate the best fit inverse curve.
Plot the data putting fat grams on the x-axis and look for a relationship Is there a relationship between the fat grams and the total calories in fast food?
positive linear relationship
Are linear relationships proportional?
A relationship that occurs when variable quantities are directly proportional to one another. A linear relationship can be represented on a graph as a STRAIGHT LINE. Linear relationships always follow the formula: y=mx+b where y is the value of the y-coordinate, where my is the slope of the line, where x is the value of the x-coordinate, and b is the y-intercept
What do you call the relationship between two sets of data?
If the answer you are expecting is correlation, then you are wrong. Correlation refers only to linear relationship between two variables. The correlation for any even relationship over a symmetric domain will be 0. Thus, if y = x2 between the values -a < x < a (for some a), the correlation between y and x will be 0 but few would contend that there is no relationship between the two.
In any linear relationship explain why the slope is always the same?
Because it is a linear relationship between x and y, this gain ratio is the same everywhere along the line. This is the most common way to represent a straight line because readers can easily obtain two basis of a straight line, namely slope (m) and y-intercept (c).
