+61-413 786 465

info@mywordsolution.com

## Statistics

Question 1. For the prostate data set, fit a model with lpsa as the response, and the other variables as predictors.

(a) Suppose a new patient with the following values arrives:

lcavol = 1.45000, lweight = 3.59801, age = 63.00000, lbph = 0.30010,
svi = 0.00000, lcp = -0.79851, gleason = 7.00000, pgg45 = 15.00000.
Predict the lpsa for this patient along with an appropriate 95% prediction interval.

(b) Repeat the questions in (a) for a patient with the same values except that he is age 20. Explain why the prediction interval is wider.

(c) For the model of the previous question, remove all the predictors that are not significant at the 5% level. Using the reduced model recompute the predictions for the x values given in the previous questions (a) and (b). Are the new prediction intervals wider or narrower than in parts (a) and (b)? Which predictions would you prefer? Explain.

Question 2. Using the swiss data set, fit a model with Fertility as the response and all of the other variables as predictors. Answer the following.

(a) Produce a plot of the internally Studentized residuals ri versus the ordinary (least squares) residuals εˆi. (Show R code.)

(b) The points in this plot do not exactly fall on a straight line. Briefly explain why. [ Hint: What is the formula for the internally Studentized residuals? ]

(c) List the externally Studentized residuals ti (which are used as test statistics in the Mean Shift Test).

(d) Perform the Mean Shift Test without Bonferroni adjustment, using α = 0.05. Which provinces are identified as outliers?

(e) Perform the Mean Shift Test with Bonferroni adjustment, using α = 0.05. Which provinces are identified as outliers?

Question 3. Using the eco data set, fit a model with home as the response and all of the other variables as predictors. Answer the following parts.

In parts (b) through (g), you should draw a specific conclusion and clearly refer to the diagnostic tool(s) (plots or statistics) you used to draw your conclusion.

(a) Produce the four default diagnostic plots given by R.

(b) Using an appropriate diagnostic plot, check the functional form of the relationship between the mean response and the predictors.

(c) Check the assumption of constant variance.

(d) What is the largest (most positive) least-squares residual value? What is the smallest (most negative) least-squares residual value?

(e) Which observation has the greatest leverage value?

(f) Check for outliers. (You may use diagnostic plots - a formal test is not necessary.)

(g) Check for influential points.

Question 4. Using R, produce a grid of 9 normal probability plots (qqnorm) for samples of size n = 50 simulated independently from a geometric distribution with parameter prob equal to 0.4.

(Refer to the last section of the Diagnostics in Linear Regression slides. Use the R function rgeom to simulate from the geometric distribution.)

(a) Display your plots and the R code you used to produce them.

(b) Describe two distinct ways in which these plots tend to differ in appearance from what you would expect for normally-distributed data.

Applied Statistics, Statistics

• Category:- Applied Statistics
• Reference No.:- M93109261
• Price:- \$45

Priced at Now at \$45, Verified Solution

Have any Question?

## Related Questions in Applied Statistics

### Business analytics and statistics research reportthis

Business Analytics and Statistics Research Report This assignment is based on fictional data. You are creating a business report for the CEO of a retail company called, Athlete Panda. It must be professional in presentat ...

### Quantitative methods in health statistical analysis report

Quantitative Methods in Health Statistical Analysis Report - Question 1 - Are you a Lark or an Owl? Studies indicate that about 10% of us are morning people (Larks) while 20% are evening people (Owls) and the rest are no ...

### Assignment -for each of the prompts below report the

Assignment - For each of the prompts below, report the appropriate degrees of freedom, t statistic, p-value and plot using the statistical software platform of your choice (R/STATA) 1) A sample of 12 men and 14 women hav ...

### Business data analysis facts from figures assignment

BUSINESS DATA ANALYSIS: FACTS FROM FIGURES Assignment - Question 1 - Private capital expenditure for 12 successive quarters are presented in the following table: Quarter Millions     1 31,920 2 25,120 3 30,350 4 24,650 5 ...

### The scientific method assessment task - data analysis

The Scientific Method Assessment Task - Data Analysis Assignment QUESTION 1 - Single-factor experiments Use Minitab for this question. The data in Q1 tab of 60902_AssessmentTask3Data_Spring2018.xlsx records blood cholest ...

### Assessment - analytical reportobjectives - this assessment

Assessment - Analytical Report Objectives - This assessment addresses Unit Learning Outcomes: Discriminate the most appropriate descriptive and inferential statistics to use in a given health context, Analyse health data ...

### Question onea a factory manager claims that workers at

QUESTION ONE (a) A factory manager claims that workers at plant A are faster than those at plant B. To test the claim, a random sample of times (in minutes) taken to complete a given task was taken from each of the plant ...

### Exercise -q1 do the example data in table 35-2 meet the

Exercise - Q1. Do the example data in Table 35-2 meet the assumptions for the Pearson χ 2 test? Provide a rationale for your answer. Q2. Compute the χ 2 test. What is the χ 2 value? Q3. Is the χ 2 significant at α = 0.05 ...

### Question - go to the website national quality forum nqf

Question - Go to the website, National Quality Forum (NQF), located in the Webliography, and download the article by WIRED FOR QUALITY: The Intersection of Health IT and Healthcare Quality, Number 8, MARCH 2008. You are ...

### Business analytics and statistics research report -this

Business Analytics and Statistics Research Report - This assignment is based on fictional data. You are creating a business report for the CEO of a retail company called, Athlete Panda. It must be professional in present ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

### Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

### Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of \$ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

### Compute the present value of an 1150 payment made in ten

Compute the present value of an \$1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

### Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of \$ 699 per year for 19 years, given a discount rate of 6 percent per annum. As