+1-415-315-9853

info@mywordsolution.com

## Statistics

Problem 1

Use the following four data sets for problem 1 (from Anscombe (1973), American Statistician).  Be aware that this is a very interesting series of data sets with some special properties. I do not have data files for these data, so you’ll need to enter it by hand. If you want to challenge yourself, try to copy and paste this data into an excel sheet or text file and then bring it in through SPSS.

(a) For each of the four data sets separately:  find out the Pearson r and the regression equation,  = b0 + b1X; find out R2 and associated test of significance. Test b1 for significance. Briefly prepare what you would conclude about the comparison of these datasets from these analyses.

(b) For data set 1 and data set 3, compute the outlier diagnostics. Are there are any outliers? If so, please describe.

(c) Comment on what lessons have you learned (or should have learned) from this problem. That is, why did I pick these data and ask you to specifically do steps a, &b? When looking at the data analysis as a whole, what lesson should this problem teach?

Problem 2

The following are actual data showing the latitude of a sample of major cities in the northern hemisphere and their mean high annual temperature.

latitude(X)    mean high temp(Y)
1. Acapulco         17                      88
2. Algiers            37                      76
3. Berlin             53                       55
4. Bogota            5                       66
5. Montreal         46                      50
6. Oslo               60                      50
7. Rome             42                      71
8. Saigon*          11                     90
* Now known as Ho Chi Minh City.

(a) Compute and prepare the prediction regression equation(note: do not just refer to spss output—prepare out the full equations)

(i)  In unstandardized form (For every increase in ___, x goes up by ____)
(ii) In standardized form(units)

(b) find out the predicted mean temperature (degrees F) for each city.

(c) Test the b1 coefficient; find out and test R2

Report results of these tests in a short APA results-style paragraph

(d) Plot Y (vertical axis) vs. X (horizontal axis) showing best fitting straight line

(e) Report standard measures of leverage (X space), studentized deleted residuals (Y space), and SDFFITS (influence) for each city.

(f) Examine your plots.  Consider your expectations, the obtained values of r and b1, the plots, and your outlier statistics.  Do any of the cities appear to be having a particularly strong influence on the results?  If so, which one(s) and why?

(g) Drop the point(s) identified in (f) from the data analysis and using SPSS re-compute r and b1.  Test the new b1 coefficient; find out and test the new R2.Report the results of these tests in a short APA results-style paragraph, and describehow do the results change?

(h) In general, are you justified in dropping data?  When is it appropriate vs. inappropriate? Comment on why this procedure of dropping one or more cities may or may not be appropriate in the present case (Hint: consider the altitudes—not latitudes-- of the cities).

Problem 3

The following data are measures of triceps skinfold thickness (X1), thigh circumference (X2), and midarm circumference (X3).  These three variables are used to predict percentage of body fat (Y). You can also find the data on beachboard (titled “bodyfat”).

(a)  Compute the regression of Y on X1.

(b)  Compute the regression of Y on X2.

(c)  Compute the regression of Y on X1, X2

(d)  Compute the regression of Y on X1, X2, X3

In each case, report the results in a brief APA results-style paragraph. For each individual predictor remember to report bs, standard error of each b (or confidence intervals), t test; and for each overall model report F test,df, and R2.

(e) Compute the correlation matrix of the predictors (X1 X3)

(f) Compute the tolerance (or VIF) of each predictor for the equation (d) which includes all 3 predictors.

(g) Examine the outlier statistics for the X space, Y space, and influence (including DFBETAS for each predictor).  Identify the highly discrepant observations, if any.

(h) Comment on what you have learned about this data set, particularly with regard to the three predictors, and interpret the results.

Problem 4

Data for problem 4 are provided by Tabachnik&Fidell (2007), and represent a subset of variables that were collected as part of a year-long study on the relationship between stressful life events and mental and physical health (for more details on this study see Appendix B1 of Tabachnik&Fidell , 2007 or see Hoffman &Fidell, 1979, where these data were initially published). You can find the five variable data set (N= 465) on beachboard(titled “tbregress”). Here is a brief description of the variables:

subjno: Subject number
timedrs: number of visits to health professionals over the course of the study
phyheal: self reported frequency count of problems with various body systems (circulation, digestion, etc.), general description of health
menheal: frequency count of mental health problems (feeling somewhat apart, can’t get along, etc.)

stress: weighted items reflecting number and importance of change in life situation

Use multiple regression and correlation analyses to understand what the data from these variables tell us about the relationships between mental and physical health. Remember to use data centering to make sense of your data (when you want to make the intercept values meaningful). Clearly state the research problems that you want to test in these data and describe the results from the statistics you used to test your models. prepare your work as a results section, organized by the research problem you are testing.

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M91094

Have any Question?

## Related Questions in Statistics and Probability

### A shipment of 8 computers contains 2 with defects find the

A shipment of 8 computers contains 2 with defects. find the probability that a sample of size 4, drawn from the 8, will not contain a defective computer. What is the probability that a sample of 4 of the 8 computers will ...

### Entertainment software association would like to test if

Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games) is more than 30 years old. A random sample of 33 gamers was selected and their ages were record ...

### If the difference between two means is not statistically

If the difference between two means is not statistically significant, how certain are you that the independent variable really does not affect the dependent variable?

### Question i am sending this question second time because i

Question: I am sending this question second time because I have suspicion about the solution. I am solving it by converting the given percentages into probabilities, and then calculating Expected Freq.=np. Please follow ...

### 1 in a pulse rate research a simple random sample of 120

1. In a pulse rate research, a simple random sample of 120 men results in a mean of 80 beats per minute, and a standard deviation of 11 beats per minute. Based on the sample results, the researcher concludes that the pul ...

### The average prime member spends 5010 a year on the website

The average prime member spends \$5,010 a year on the website shopping a wide assortment of goods. In order to increase sales, Amazon starts offering Two Hour Prime Delivery (you can order stuff on Amazon.com and it gets ...

### 1 consider the circumstances under which a

1. Consider the circumstances under which a repeated-measures experimental research design, rather than a between-participants experimental design, might be more or less appropriate. 2. Explain what counterbalancing refe ...

### Question at the first state bank the average savings

Question: At the first state bank the average savings account balance in 2004 was \$1300 with a standard deviation of \$80. A random sample of 45 savings account balances for 2005 yielded a mean of \$1350. At the alpha=01 s ...

### The potential revenues of all projects are in fact

The potential revenues of all projects are in fact uncertain. The company determines that the revenue for project 1 is following a uniform distribution ranging from \$1,200,000 to \$2,000,000. The revenue for project 2 is ...

### What is the variation in lsquofalse rejects that is not

What is the variation in ‘False rejects' that is NOT attributable to the Inspectors (as Sum of squares, not as percentage or mean)? 349.4 84.9 264.5 10.58 21.2

• 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.

### WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

### Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

### Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

### Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

### Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro