A regression model involving 8 independent variables for a sample of 69 observations resulted in the following sum of squares. SSE = 306 SST = 1800 Compute the multiple coefficient of determination. At 5% of level of significance, test to determine whether or not the model is significant.
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.
A regression model involving 8 independent variables for a sample of 69 observations resulted in the following sum of squares.
SSE = 306
SST = 1800
- Compute the multiple coefficient of determination.
- At 5% of level of significance, test to determine whether or not the model is significant.
Question 3:
A student used multiple
|
ANOVA |
|
|
|
|
df |
SS |
|
Regression |
3 |
45.9634 |
|
Residual |
11 |
2.6218 |
|
Total |
|
|
|
|
Coefficients |
Standard Error |
|
Intercept |
0.0136 |
|
|
x1 |
0.7992 |
0.074 |
|
x2 |
0.2280 |
0.190 |
|
x3 |
-0.5796 |
0.920 |
- Write out the estimated regression equation for the relationship between the variables.
- Compute coefficient of determination. Can you interpret the strength of the relationship?
- Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance.
- Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.
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