Q. 5 A random sample of nine custom homes provided the following data on size and price. X denotes size in hundreds of square feet and y denotes price in thousands of dollars. Predict the price of a 2600-sq ft house using the regression equation. 26 27 33 29 29 34 30 40 22 Y 540 555 575 577 606 661 738 804 496 b,= Exy -((En)(8y)/) bo= (Ey -6, E*) Formula: in
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![Q. 5 A random sample of nine custom homes provided the following data on size and price. X
denotes size in hundreds of square feet and y denotes price in thousands of dollars. Predict the
price of a 2600-sq ft house using the regression equation.
26
27 33 29 29 34 30
40
22
Y
540
555 575 577 606 661 738 804 496
b,= Exy -((En)()/)
I x2 - CEx)Z
Formula :
Σ
in
Consturct Table for al pars
Using totas ¥ numbers ofrom
the table firch:
676
26
540
9 - b, t bix
To find predictad price for
26v0 sq.6t. house, substitule
26 in ý equation.
Tatals
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