A line which passes through the center of group of data points that points are plotted on a scatter plot is known as line of best fit. Scatter plots are used to describe the results of assembly data on two variables and line of best fit is used to calculate whether these two variables are correlated or not. There are many methods for determining the line of best fit:
Line of Best Fit is a mathematical tool which is said to be the least squares method. It is also used in the regression analysis, in the statistical calculation it is an input key such as the sum of squares.
Now we will see line of best fit or least square method:
The lines of best fit are used to display the relationship between two variables:
We need to follow some steps for finding the line of best fit or in least square method, the steps are shown below:
Step 1: For finding the line of best fit first we find the mean of the ‘x’ values and the mean of ‘y’ values.
Step 2: Then after we put the sum of the squares of the x – values in expression.
Step 3: Then after putting the sum of the squares of the x – values we multiply it by its corresponding y – values.
Step 4: After that we find the slope of the line.
And the formula for finding the slope of the line is given as:
m = ∑ UV – (∑U) (∑V)
n
∑U2 – (∑U2)
N
Where, ‘n’ represents the total number of data points and ‘m’ is the slope of the line.
Step 5: Now put the y – intercept of the line with the help of formula:
b = y’ – mx’;
where, the coordinates y’ and x’ both are the median of the x – and y – coordinates of the data points respectively.
Step 6: At last we use the slope and y – intercept and we get the equation of the line.
z score calculator is a mathematical tool which makes the calculation easy and fast, those who don’t know anything can also use it very easily it is also given in ICSE class 9 books and in the next session we will discuss about Dividing Integers.
Line of Best Fit is a mathematical tool which is said to be the least squares method. It is also used in the regression analysis, in the statistical calculation it is an input key such as the sum of squares.
Now we will see line of best fit or least square method:
The lines of best fit are used to display the relationship between two variables:
We need to follow some steps for finding the line of best fit or in least square method, the steps are shown below:
Step 1: For finding the line of best fit first we find the mean of the ‘x’ values and the mean of ‘y’ values.
Step 2: Then after we put the sum of the squares of the x – values in expression.
Step 3: Then after putting the sum of the squares of the x – values we multiply it by its corresponding y – values.
Step 4: After that we find the slope of the line.
And the formula for finding the slope of the line is given as:
m = ∑ UV – (∑U) (∑V)
n
∑U2 – (∑U2)
N
Where, ‘n’ represents the total number of data points and ‘m’ is the slope of the line.
Step 5: Now put the y – intercept of the line with the help of formula:
b = y’ – mx’;
where, the coordinates y’ and x’ both are the median of the x – and y – coordinates of the data points respectively.
Step 6: At last we use the slope and y – intercept and we get the equation of the line.
z score calculator is a mathematical tool which makes the calculation easy and fast, those who don’t know anything can also use it very easily it is also given in ICSE class 9 books and in the next session we will discuss about Dividing Integers.
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