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 х,...

Answer the following questions.

Extracted 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 х, 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 8876 2295 X, -24 25 -6 2.5 X, 0.5 0.2 X, 63 70 Analysis of Variance Source Regression Error Total 21080 1426 22506


Extracted text: a) Write down the estimated regression equation and interpret the estimated regression coefficients for X, and X,. b) Test if the overall regression model is significant or not using a 0.05 level of significance. c) Test the significance of each regression coefficient. Use significance level 0.05. d) Suppose we drop the variable X, from the model. The reduced regression model has X,, X, and X, 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. e) 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. Design a regression model that allows for the new variables and show how you test your hypothesis.