Find the multiple regression equation with weight as the response variable and the dummy variable of sex and the variable of age as the explanatory variables. ### Bear Weight Data AnalysisThe following dataset provides information on the sex, age, and weight of bears. The data is used for determining the relationship between these variables through a multiple regression equation. #### Dataset Description- **Sex (1=M):** Indicates the sex of the bear. A value of 0 represents female, while a value of 1 represents male.- **Age (Months):** Age of the bear in months.- **Weight:** Weight of the bear in unspecified units.#### Bear Measurement Data Table| Sex (1=M) | Age (Months) | Weight ||-----------|--------------|--------|| 1 | 18 | 72 || 1 | 55 | 336 || 1 | 80 | 415 || 1 | 115 | 346 || 0 | 103 | 165 || 0 | 103 | 221 || 1 | 55 | 260 || 1 | 48 | 351 || 0 | 54 | 214 || 0 | 55 | 147 || 1 | 65 | 328 || 1 | 8 | 31 || 0 | 47 | 144 || 1 | 29 | 176 || 0 | 22 | 107 || 1 | 29 | 157 || 1 | 46 | 196 || 0 | 12 | 16 |### Analysis TaskThe task is to derive the multiple regression equation with weight as the response variable. The predictors are:- A dummy variable for sex- The age of the bear#### Objectives1. Use the regression equation to predict the weight of: - a. A female bear at 21 months of age. - b. A male bear at 21 months of age.2. Analyze whether sex significantly affects the weight of a bear.### Regression Equation FormWeight = $ \beta_0 + \beta_1 \times \text{Sex} + \beta_2 \times \text{Age} $Round the coefficients to one

Given data is entered in excel as shown below Sex Age Weight 1 18 72 1 55 336 1 80 415 1…

The accompanying table provides data for the sex, age, and weight of bears. For sex, let 0 represent female and let 1 represent male. Letting the response (y) variable represent weight, use the dummy variable of sex and the variable of age and to find the multiple regression equation. Use the equation to find the predicted weight of a bear with the characteristics given below. Does sex appear to have much of an effect on the weight of a bear? X a. Female bear that is 21 months of age b. Male bear that is 21 months of age Click the icon to view the bear measurement data. Find the multiple regression equation with weight as the response variable and the dumn Weight=+ Sex Sex + + ( Age (Round to one decimal place as needed.) Bear Measurement Data Sex (1=M) 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 Age (Months) 18 55 80 115 103 103 55 48 54 55 65 8 47 29 22 29 46 12 Weight 72 336 415 346 165 221 260 351 214 147 328 31 144 176 107 157 196 16 D -

The accompanying table provides data for the sex, age, and weight of bears. For sex, let 0 represent female and let 1 represent male. Letting the response (y) variable represent weight, use the dummy variable of sex and the variable of age and to find the multiple regression equation. Use the equation to find the predicted weight of a bear with the characteristics given below. Does sex appear to have much of an effect on the weight of a bear? X a. Female bear that is 21 months of age b. Male bear that is 21 months of age Click the icon to view the bear measurement data. Find the multiple regression equation with weight as the response variable and the dumn Weight=+ Sex Sex + + ( Age (Round to one decimal place as needed.) Bear Measurement Data Sex (1=M) 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 Age (Months) 18 55 80 115 103 103 55 48 54 55 65 8 47 29 22 29 46 12 Weight 72 336 415 346 165 221 260 351 214 147 328 31 144 176 107 157 196 16 D -

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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