Determine the regression equation. Solve for the sum of squares for errors, standard error, and coefficient of determination. Find the 95% confidence interval for all year for the 12th year. Determine a 95% prediction interval for the 12th year.
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.
Determine the regression equation. Solve for the sum of squares for
errors, standard error, and coefficient of determination. Find the 95% confidence interval for all year for the 12th year. Determine a 95% prediction interval for the 12th year.
 alt="1. Sales, in millions of pesos, of a certain company are shown here.
Year (X)
Sales (Y)
2
4
5
6
7
9
10
P12
P15
P16
P19
P21
P17
P18
P20
P22
P24
Determine the regression equation. Solve for the sum of squares for
errors, standard error, and coefficient of determination. Find the 95% confidence
interval for all year for the 12th year. Determine a 95% prediction interval for the
12th year.
Step 1: A. Complete the table
Y
(Y - Y²)
(Y-Ÿ²)
XY
13
15
17
4
18
17
19
22
8.
20
23
10
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