Explore BrainMass
Share

# Correlation and Regression Analysis

Regression analysis involves identifying the relationship between a dependent variable and one or more independent variables. A model of the relationship is hypothesized, and estimates of the parameter values are used to develop an estimated regression equation. Various tests are then employed to determine if the model is good. If it is, the estimated regression equation can be used to predict the value of the dependent variable given values for the independent variables.

Dependence refers to any statistical relationship between two random variables or two sets of data. Correlation refers to any broad class of statistical relationships involving dependence. Correlations are useful because they can indicate the predictive relationship that can be exploited in practice. Statistical dependence is not sufficient to demonstrate the presence of such a causal relationship.

Correlation and regression analysis are related in the sense that both deal with relationships among variables. The correlation coefficient is a measure of linear association between two variables. The correlation coefficient is a measure of linear association between two variables. Values of the correlation coefficient are always between -1 and +1. Neither regression nor correlation analysis can be interpreted as establishing case-and-effect relationships. They can indicate only how or to what extend variables are associated with each other.

## Categories within Correlation and Regression Analysis

### Poisson Solutions: 11

The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event.

### Probabilities using the Normal Distribution

1. True or False? A normal distribution is a continuous probability distribution used with continuous random variables. 2. If a z-score is close to −3.49, the cumulative area is close to what value? 3. What is the area under a standard normal curve between z = −1.47 and z = 1.58? 4. What is the area under a standard

### Multiple Regression Example from Real Life

Identify a research question from your professional life or research interests that could be addressed with multiple regression with two predictor variables. Describe the predictor variables ( X1, X2), the outcome variable ( Y), and the associated measurement scales. Articulate the expected outcome. Indicate why multiple regress

### Correlation and Bivariate Regression in Practice

As a critical consumer of research critically evaluate a scholarly article related to correlation and bivariate regression. • Search for a quantitative article related to correlation and bivariate regression. Critique of the article you found. In your critique, include responses to the following: • Why did the autho

### Discussion: Correlation and Bivariate Regression

This Solution works with a real, secondary dataset to construct a research question, perform a correlation and bivariate regression model, and interpret the results. Whether in a scholarly or practitioner setting, good research and data analysis should have the benefit of peer feedback. For this Discussion, you will post your

### Correlation, Regression and Normal Distribution Practice Questions

a. The headline of a January 31, 2005 USA Today article read, "'January Barometer' predicts a pretty lousy year." Referring to the stock market (and in particular the S&P 500), the article goes on to say that the month of January was "turning out to be a loser and chances are 2005 will be, too." To support the claim, the arti

### Perform regression analysis using linear mode, logarithmic model

The Flyair Company manufactures a sophisticated radar unit that is used in a fighter aircraft built by Seaways Aircraft. The first 85 units of the radar unit have been completed and Flyair is preparing to submit a proposal to Seaways Aircraft to manufacture the next 50 units. Flyair wants to submit a competitive bid, but at t

### Statistical Analysis - Multiple Regression Model

Need assistance interpreting my statistics and ensuring they are correctly performed as well as I need a F Test completed. I've highlighted everything in yellow that I need assistance on. Stats are provided for most questions, just need assistance with interpreting and a F Test

### Inferential Statistical Analysis

Question 1 A company wants to produce three different mobile phones, with low-range, mid-range and high-range specifications, respectively. A survey with 100 respondents has been used to reveal the choices of potential customers. The company wants to review the figures to see if the three mobile phones would be equally popular.

### Solve forecasting questions using naive, moving average

Hello, I need the answer for these 3 questions please: I have also attached the same questions in a Word file... Q1. Sales (in thousands) of the new Thorton Model 506 convection oven over the eight-week period since its introduction have been as follows: Week Sales 1 18.6 2 21.4 3 25.2 4 22.4 5 24.6 6 19.2 7 21.7

### Population in the news

Locate a news article or report (in a popular news source such as Time, Newsweek, or the Wall Street Journal) in which a population mean is estimated from a sample. The article should include a margin of error and confidence interval. Discuss the subject matter in the article, and interpret the results and what the confidence in

### Regression Analysis - Using PHStat or Excel

 A research analyst for an oil company wants to develop a model to predict miles per gallon based on highway speed. An experiment is designed in which a test car is driven at speeds ranging from 10 miles per hour to 75 miles per hour. The results are in the data set (SPEED.xls). a) Set up a scatter diagram for speed and mi

### Multiple Regression Analysis: Locating New Pam and Susan's Stores

Case Study Pam and Susan's is a chain of discount department stores.* The original store was opened in the South in the mid-1950s by Pam and Susan's father. About 10 years ago, Pam and Susan took over operational control of the stores, working together under a joint power sharing arrangement. The unusual management arrangement

### Multiple Regression Analysis

 A consumer products company wants to measure the effectiveness of different types of advertising media in the promotion of its products. Specially, two types of advertising media are to be considered: radio and television advertising and newspaper advertising (including the cost of discount coupons). A sample of 22 cities

### Hypothesis Testing and Confidence Interval...

Based on data from USA Today, tax returns include an option of designating \$3 for presidential election campaigns, and it does not cots the taxpayer anything to make that designation. In a simple random sample of 250 taxpayer returns from 1976, 27.6% of the returns designated the \$3 for the campaign. In a simple random of 300

### Hypothesis Testing - PHStat/Excel/SSBEC

 A random sample of the birth weights of 186 babies has a mean of 3103g and a standard deviation of 696g (based on data from ``Cognitive Outcomes of Preschool Children with Prenatal Cocaine Exposure,'' by Singer et al., Journal of the American Medical Association, Vol. 291, No. 20. These babies were born to mothers who did n

### Obtaining regression equation & correlation using excel toolpak

Name: Date: Topic Five: Correlation/Regression and Chi Square Excel Worksheet Directions: Answer all problems and submit to instructor at the end of Module 5 SYSTOLIC AND DIASTOLIC BLOOD PRESSURE OF FEMALES The following table represents systolic and diastolic blood pressure measurements of 40 females. A) Use the

### Multiple Regression Analysis..

Multiple Regression Model A study was carried out to explore the relationship between Aggression and several potential predicting factors in 666 children who had an older sibling. Variables measured were Parenting Style (high score = bad parenting practices), Computer Games (high score = more time spent playing computer games),

### Calculations of Regression Analysis

See the attached file. 1. If Janice Position-Classification, personnel officer for the Bureau of Forms, can forecast agency separations 6 months from now, she can plan recruitment efforts to replace these people. Janice believes that separations 6 months from now are determined by the number of agency people passed over for pro

### Chi-square Test & Correlation Coefficient

1. Use the contingency table below to determine if there is evidence of a significant difference between proportions of males and females who enjoy shopping for clothing at the 0.01 level of significance. Determine the p-value in (a) and interpret its meaning. Yes No Total Males 136 104 240 Females 224 36 260 Total 360 1

### Building a Quadratic Regression Model

See attachment for data on y = green liquor (g/L) and x = paper machine speed (ft/min) from a Kraft paper machine. (a) Fit the model Y = Bo + B1x + B2x^2 + e using least squares. (b) Test for significance of regression using alpha = 0.05. What are your conclusions? (c) Plot the residuals from the model in part (a) versus

### Regression and Time Series Analysis

The data in the table below represent the annual revenues(in billion of dollars) of McDonald's Corporation over the 31-year period from 1975 t0 2005. Year Coded Yr Revenues 1975 0 1 1976 1 1.2 1977 2 1.4 1978 3 1.7 1979 4 1.9 1980 5 2.2 1981

### Scatter Plots and Correlation Coefficients

Question 1: Problem 2.13 from the text. Use Excel to construct your scatter plot. Write your answers to the questions in a word document. Include the scatter plot you created in your word document. Question 2: Problem 2.37 from the text. Use Excel to construct a scatter plot. Compute the correlation coefficient by using colum

### Quadratic Regression and Model Buildling

Quadratic Regression Problem The marketing department wants to study the effect of price on the sales of packages of disposable razors. A sample of 15 stores is selected. The number of packages sold over a full week and the price at each store are in the following table (see attached file for data). a. Construct

### Multiple Regression Analysis of Moving

Problem 14.43 page 600 Problem 43 page 192 Introduction The owner of a moving company would like to develop a model of predicting the labor hours that is required to complete a move by using the number of cubic feet moved and whet

### Explanation of a Regression Analysis Question

Suppose we have the following information from a simple regression: b0 = 117.4 b1 = -14.39 sb0 = 44.17 sb1 = 3.20 n = 300 x = 4.3 SST = 17,045 SSE = 12,053 a. What is the coefficient of determination? b. What is the correlation coefficient? c. What is the sample mean of y? d. What is the value of the sample tes

### Calculation of Regression Coefficients

It is hypothesized that the number of bottles of an imported premium beer sold in city restaurants depends linearly on the average cost of meals in these restaurants. The following results were obtained for a sample of n = 20 restaurants of approximately equal size: x = 30 y = 18.8 Var(x) = 412 Cov(x,y) = 212 Where: y

### Bank Loan Data Set Analysis - SPSS

Please provide recommendations to a company based on the data. The dataset provided is information on applicants for a bank loan. The bank is seeking advice as to their current loan approval guidelines Based on the dataset, what recommendations can be made to the bank? should the bank consider lowering their approval standards,

### Beta Value & Regression Analysis

I need help with problems 13.49 and 13.79. They are attached here. Thank you in advance!! 13.49 The volatility of a stock is often measured by its beta value. You can estimate the beta value of a stock by developing a simple linear regression model, using the per- centage weekly change in the stock as the dependent vari

### Multiple Regression and T- Test

(see attached for full description) Multiple Linear Regression A Brightwater car dealership, which serves the city of Brightwater and its surrounding communities, was taken over about four years ago by a group of investors led by Jake Rogers. Jake had previously studied marketing and economics at Brightwater University.

### Multiple Regression Equation Development in SPSS

Develop a hypothetical multiple regression (prediction) equation to predict something in your area of professional or personal interest. a. First, identify the dependent (criterion) variable that you are interested in predicting. What variable do you plan to predict? Next, choose two variables (called independent) that you wi