The regression equation is Y=9.28+0.565X1+0.065X2-0.231X3 Predictor Coef SE Coef T P Constant 9.276 -7.247 -1.28 0.214 X1 0.5654 1.5281 0.37 0.716 X2 0.0646 0.0267 2.42 0.025 X3 -0.2313 -0.1688 1.37 0.184 S=4.83735 R-Sq=14.9% R-Sq(adj)=2.8% Analysis of Variance Source DF SS MS F P Regression 3 86.2 28.74 1.23 0.322 Residual Error 21 491.4 23.4 Total 24 577.6 (a) Which variable might we try eliminating first to possibly improve this model? X1 X2 X3 (b) What is R2 for this model? R2= Enter your answer in accordance to item (b) of the question statement % Do we expect R2 to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? Choose the answer from the menu in accordance to item (a) of the question statement Increase Decrease Remain the same What type of change in R2 would indicate that removing the variable in part (a) was a good idea? Choose the answer from the menu in accordance to item (a) of the question statement Large increase Small increase Small decrease Large decrease A bad idea? Choose the answer from the menu in accordance to item (a) of the question statement Large increase Small increase Small decrease Large decrease (c) What is the p-value for ANOVA for the original 3-predictor model? p-value = Enter your answer in accordance to item (c) of the question statement Is the p-value most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? Choose the answer from the menu in accordance to item (a) of the question statement Increase Decrease Remain the same What type of change in the p-value for ANOVA would indicate that removing the variable in part (a) was a good idea? Choose the answer from the menu in accordance to item (a) of the question statement Increase Decrease A bad idea? Choose the answer from the menu in accordance to item (a) of the question statement Increase Decrease (d) What is the F-statistic from ANOVA for this model? F-statistic = Enter your answer in accordance to item (d) of the question statement Is the F-statistic most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? Choose the answer from the menu in accordance to item (a) of the question statement Increase Decrease Remain the same What type of change in the F-statistic for ANOVA would indicate that removing the variable in part (a) was a good idea?
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.
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(a) Which variable might we try eliminating first to possibly improve this model?
X1
X2
X3
(b) What is R2 for this model?
R2=
Enter your answer in accordance to item (b) of the question statement %
Do we expect R2 to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
Remain the same
What type of change in R2 would indicate that removing the variable in part (a) was a good idea?
Choose the answer from the menu in accordance to item (a) of the question statement
Large increase
Small increase
Small decrease
Large decrease
A bad idea?
Choose the answer from the menu in accordance to item (a) of the question statement
Large increase
Small increase
Small decrease
Large decrease
(c) What is the p-value for ANOVA for the original 3-predictor model?
p-value =
Enter your answer in accordance to item (c) of the question statement
Is the p-value most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
Remain the same
What type of change in the p-value for ANOVA would indicate that removing the variable in part (a) was a good idea?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
A bad idea?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
(d) What is the F-statistic from ANOVA for this model?
F-statistic = Enter your answer in accordance to item (d) of the question statement
Is the F-statistic most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)?
Choose the answer from the menu in accordance to item (a) of the question statement
Increase
Decrease
Remain the same
What type of change in the F-statistic for ANOVA would indicate that removing the variable in part (a) was a good idea?
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