PROBLEMS IN THIS ASSIGNMENT USE THE ‘BEARS’ EXCEL FILE .

1. (20PTS) Test the hypothesis that the variances for the variable ‘HEADWIDTH’ are the same for female bears (sex =2) and male bears (sex=1). Use the 5% level of significance. Assume the variable ‘headwidth’ is normally distributed for both female and male bears. Use only the first 43 data points in the data set. Set up and use only the 5-step procedure to test this hypothesis, setting up your own equations. Also calculate the p-value of the test.
2. (20PTS). For the 43 data points in problem 1, test the hypothesis that the mean headwidth for male bears is greater than the mean headwidth for female bears. Again, use the 5 step procedure setting up your own equations. Use a 4% level of significance and also calculate the p-value of the test.

1. (10 PTS). Develop the correlation matrix for all the measurement variables in the ‘Bears’ spreadsheet.
2. (15PTS). Develop the best linear prediction equations (2 of them) to predict "Weight" for both male and female bears by using the variable that has the best correlation with Weight for the female and male bear groups individually taken. Type out the regression equations for each. Which of the two equations has the ‘best’ predictability? Why?
3. (10PTS). For the female bears predictability equation in problem 4, get the residual plot, the normal probability plot and construct a histogram of the standardized residuals. Using these 3 graphical tools, discuss the normality assumption for the data.

6. (15PTS). Assuming the normality assumption is valid, using all of the data points (no matter whether male or female), predict ‘Weight’ based on the bear’s ‘Chest’ size with a 95% confidence interval for bears whose chest size is equal to 37.

7. (10PTS). Develop a multiple linear equation to estimate the weight of female bears based on the variables ‘Age’, ‘Headwidth’ and ‘Chest’. Type out the multiple linear equation. Then, use the multiple linear equation to estimate the weight for a female bear whose age=20, headwidth=6 and chest =50.

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Solution: The downloadable solution consists of 12 pages, 768 words and 3 charts.
Deliverable: Word Document