Please help You are given the following data, where X1X1 (final percentage in history class) and X2X2 (number of absences) are used to predict YY (standardized history test score in fourth grade): YY X1X1 X2X2 410 72 1 370 75 4 465 92 2 345 70 3 350 78 3 480 98 0 400 82 0 375 92 6 415 95 2 450 89 1 420 80 2 485 99 0 300 65 7 350 70 3 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a=a= Partial slope X1X1: b1=b1= Partial slope X2X2: b2=b2= Report sum of squares accurate to 3 decimal places: SSreg=SSreg= SSres=SSres= Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places): F-ratio = P-value =
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.
Please help
You are given the following data, where X1X1 (final percentage in history class) and X2X2 (number of absences) are used to predict YY (standardized history test score in fourth grade):
| YY | X1X1 | X2X2 |
|---|---|---|
| 410 | 72 | 1 |
| 370 | 75 | 4 |
| 465 | 92 | 2 |
| 345 | 70 | 3 |
| 350 | 78 | 3 |
| 480 | 98 | 0 |
| 400 | 82 | 0 |
| 375 | 92 | 6 |
| 415 | 95 | 2 |
| 450 | 89 | 1 |
| 420 | 80 | 2 |
| 485 | 99 | 0 |
| 300 | 65 | 7 |
| 350 | 70 | 3 |
Determine the following multiple regression values.
Report intercept and slopes for regression equation accurate to 3 decimal places:
Intercept: a=a=
Partial slope X1X1: b1=b1=
Partial slope X2X2: b2=b2=
Report sum of squares accurate to 3 decimal places:
SSreg=SSreg=
SSres=SSres=
Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places):
F-ratio =
P-value =
Report the variance of the residuals accurate to 3 decimal places:
s2res=sres2=
Report the test statistics for the regression coefficients accurate to 3 decimal places:
t1=t1=
t2=t2=
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