: The objective of a study is to produce a multiple regression model to explanatory variables are predict sales of cotton

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ANSWER THE FOLLOWING QUESTION.

Question-1: The objective of a study is to produce a multiple regression model to predict sales of cotton
fabric. The explanatory variables are
x,
Whole sale price index
Quantity of Imported Fabric
X,
Quantity of Exported Fabric
Time
Part of a computer output from the estimated regression based on 28 observations is shown below:
Predictor
Constant
Coeff StdDev
2295
8876
X,
-24
25
X,
-6
2.5
X,
0.5
0.2
X,
63
70
Analysis of Variance
Source
SS
Regression
Error
Total
21080
1426
22506
Transcribed Image Text:Question-1: The objective of a study is to produce a multiple regression model to predict sales of cotton fabric. The explanatory variables are x, Whole sale price index Quantity of Imported Fabric X, Quantity of Exported Fabric Time Part of a computer output from the estimated regression based on 28 observations is shown below: Predictor Constant Coeff StdDev 2295 8876 X, -24 25 X, -6 2.5 X, 0.5 0.2 X, 63 70 Analysis of Variance Source SS Regression Error Total 21080 1426 22506
a)Suppose we drop the variable X4 from the model. The reduced regression model has, X1,
X2, and X3 as explanatory variables. The reduced model has R2 = 0.9. Test if the reduced
regression model is significant or not at significance level 0.05.
b) Suppose you believe that the quantity of cotton fabric sold may also be impacted by how
cold the weather is. Furthermore, suppose you have classified the weather in three
categories, cold, normal, warm. Designa regression model that allows for the new variables
and show how you test your hypothesis.
Transcribed Image Text:a)Suppose we drop the variable X4 from the model. The reduced regression model has, X1, X2, and X3 as explanatory variables. The reduced model has R2 = 0.9. Test if the reduced regression model is significant or not at significance level 0.05. b) Suppose you believe that the quantity of cotton fabric sold may also be impacted by how cold the weather is. Furthermore, suppose you have classified the weather in three categories, cold, normal, warm. Designa regression model that allows for the new variables and show how you test your hypothesis.
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