1377 Words6 Pages

Problems on Regression and Correlation
Prepared by: Dr. Elias Dabeet
Q1. Dr. Green (a pediatrician) wanted to test if there is a correlation between the number of meals consumed by a child per day (X) and the child weight (Y). Included you will find a table containing the information on 5 of the children. Use the table to answer the following:
Child
Number of meals consumed per day (X) child weight (Y)
X²
Y²
XY
Ahmad
11
8
121
64
88
Ali
16
11
256
121
176
Osama
12
9
144
81
108
Husien
19
13
361
169
247
Total
58
41
882
435
619
a. Determine the simple linear regression equation.
b. Determine the correlation coefficient. Interpret it in words.
c. What is the expected child weight if the number of*…show more content…*

experiencing hypertension, given that the person is a moderate smoker; 2. non-smoker or experiencing hypertension. 3. a smoker, given that the person is experiencing no hypertension. Q9. 1418 men were cross-classified according to their smoking status and their lung cancer status as in the following table: Lung Cancer Present Absent Total Smoker Yes 688 650 1338 No 21 59 80 Total 709 709 1418 If one of these men is selected at random, find the probability that he is a) a smoker b) having lung cancer. . c) non-smoker or having lung cancer. d) having lung cancer, given that he is a smoker. e) a smoker, given that he does not have lung cancer. h) Are the events “ being a smoker “ and “ having lung cancer “ independent? Why? Q10. A lab test is 95 percent effective at detecting a certain disease when it is present. When the disease is not present, the test is 99 percent effective at declaring the subject negative. If 8 percent of the population has

experiencing hypertension, given that the person is a moderate smoker; 2. non-smoker or experiencing hypertension. 3. a smoker, given that the person is experiencing no hypertension. Q9. 1418 men were cross-classified according to their smoking status and their lung cancer status as in the following table: Lung Cancer Present Absent Total Smoker Yes 688 650 1338 No 21 59 80 Total 709 709 1418 If one of these men is selected at random, find the probability that he is a) a smoker b) having lung cancer. . c) non-smoker or having lung cancer. d) having lung cancer, given that he is a smoker. e) a smoker, given that he does not have lung cancer. h) Are the events “ being a smoker “ and “ having lung cancer “ independent? Why? Q10. A lab test is 95 percent effective at detecting a certain disease when it is present. When the disease is not present, the test is 99 percent effective at declaring the subject negative. If 8 percent of the population has

Related

## Multivariate Statistical Analysis : Natural And Physical Processes

1078 Words | 5 PagesMultivariate Statistical Analysis Statistical methodology designed to obtain information from data sets that include simultaneous measurements on many variables is called multivariate statistical analysis (1). Multivariate statistics helps to study how the variables are related to one another, and also how they work in combination to differentiate between the cases on which the observations are made. Several research disciplines such as biology, medicine, environmental Science, Psychology, Sociology

## Regression and Hypothesis Testing

528 Words | 2 PagesThe regression on the other hand is probably the most used statistical procedure in public health and beyond (example, business, law, administrative area, banks, etc). Regression normally utilizes more than one variable to predict the value of one variable in regards to the other. It uses the related variables to construct the behavior of the taken variable. The linear correlation which is represented as r is a number that can be achieved by using a scatter plot to draw a graph and an equation

## Xxsf

6605 Words | 27 PagesBEC1 STUDY GUIDE INTRODUCTION (CHAPTER 1 – MUNRO E-BOOK) Know the definition of population, sample, parameter, & statistic Be able to identify and/or provide examples of descriptive statistics & inferential statistics Know the properties of & be able to identify or provide examples of quantitative vs. categorical variables BASIC CONCEPTS (CHAPTER 2 – MUNRO E-BOOK) Know the definition of data, individuals, variables, independent variable, dependent variable, random assignment, treatment group,

## Multivariate Statistical Analysis : Natural And Physical Processes

1797 Words | 8 PagesMultivariate Statistical Analysis Statistical methodology designed to obtain information from data sets that include simultaneous measurements on many variables is called multivariate statistical analysis (1). Multivariate statistics help to study how the variables are related to one another, and also how they work in combination to differentiate between the cases on which the observations are made. Several research disciplines such as biology, medicine, environmental Science, Psychology, Sociology

## A Report On A Cox Model Essay

1502 Words | 7 Pagesinterest, for individuals, given their prognostic variables. Interpreting a Cox model involves examining the coefficients for each explanatory variable. A positive regression coefficient for an explanatory variable means that the hazard for patient having a high positive value on that particular variable is high. Conversely, a negative regression coefficient implies a better prognosis for patients with higher values of that variable. Cox’s method does not assume any particular distribution for the survival

## Stock and Watson - Introduction to Econometrics - Solutions Essay

17136 Words | 69 PagesPART TWO Solutions to Empirical Exercises Chapter 3 Review of Statistics Solutions to Empirical Exercises 1. (a) Average Hourly Earnings, Nominal $’s Mean AHE1992 AHE2004 AHE2004 − AHE1992 (b) Average Hourly Earnings, Real $2004 Mean AHE1992 AHE2004 AHE2004 − AHE1992 15.66 16.77 Difference 1.11 SE(Mean) 0.086 0.098 SE(Difference) 0.130 95% Confidence Interval 15.49−15.82 16.58−16.96 95% Confidence Interval 0.85−1.37 11.63 16.77 Difference 5.14 SE(Mean) 0.064 0.098 SE(Difference) 0.117 95%

## Stat 200 Exam 2 Essay

5066 Words | 21 PagesWhich statement is true about x-bar and ρ-hat? A) They are both parameters. B) They are both statistics. C) x-bar is a parameter and ρ-hat is a statistic. D) ρ-hat is a parameter and x-bar is a statistic. Feedback: Both x-bar and ρ-hat represent statistics. Points Earned: | 0.0/1.0 | | Correct Answer(s): | B | 10. Which of the following statements is correct about a parameter and a statistic associated with repeated random samples of the same size from the same population? A) Values

## Relationship between Exposure to PAH's and Insulin Resistance

2575 Words | 10 Pagesare ubiquitous environmental toxic compounds with fused aromatic rings, formed from incomplete combustion of carbon-containing materials such as coal and fossil fuels, cigarette smoking, and food cooking.1,2 Non-occupational exposure routes of PAHs include: inhalation airborne PAHs such as polluted air or cigarette smoking, ingestion of PAH-containing food such as charred and broiled meat, as well as dermal absorption.3,4 PAHs can bioaccumulate through the food chain because of its nature of resistant

## Computer Exercises Econometrics

4867 Words | 20 Pagestenure as CEO=7.954802 (ii) How many CEO’s are in their first year as CEO (that is, ceoten=0)? CEO’s in their first year as CEO=5 What is the longest tenure as a CEO? Longest tenure as a CEO= 37 years (iii) Estimate the simple regression model log(salary)=Bo+B1ceoten+u and report your results in the usual form. What is the (approx) predicted percentage increase in salary given one more year as a CEO? Source | SS df MS

## Computer Exercises Econometrics

4874 Words | 20 PagesComputer Exercises C1.2 Use the data in BWGHT.RAW to answer this question. . summ Variable | Obs Mean Std. Dev. Min Max -------------+-------------------------------------------------------------------------------- faminc | 1388 29.02666 18.73928 .5 65 cigtax | 1388 19.55295 7.795598 2 38 cigprice | 1388 130.559 10.24448 103.8 152.5 bwght | 1388

### Multivariate Statistical Analysis : Natural And Physical Processes

1078 Words | 5 Pages### Regression and Hypothesis Testing

528 Words | 2 Pages### Xxsf

6605 Words | 27 Pages### Multivariate Statistical Analysis : Natural And Physical Processes

1797 Words | 8 Pages### A Report On A Cox Model Essay

1502 Words | 7 Pages### Stock and Watson - Introduction to Econometrics - Solutions Essay

17136 Words | 69 Pages### Stat 200 Exam 2 Essay

5066 Words | 21 Pages### Relationship between Exposure to PAH's and Insulin Resistance

2575 Words | 10 Pages### Computer Exercises Econometrics

4867 Words | 20 Pages### Computer Exercises Econometrics

4874 Words | 20 Pages