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# Correlation

### Correlation Calculation

A researcher collects the following data from five high-school students: GPA SAT 2.00 960 3.00 1000 4.00 1300 1.00 650 3.54 1280 What is the correlation between high-school GPA and SAT scores? Report the appropriate null and research hypotheses and the critical value (alpha = 0.05). In addition, provide your

### Finding and Testing the Correlation Coefficient

A sociologist is interested in the relation between x=number of job changes and y=annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information: x (number of job changes) 0 7 6 2 8 6 8 7 0 0 y

### Find the correlation coefficient for the data

You are given the following data. Number of Absences Final Grade 0 93 1 93 2 77 3 68 4

### Statistics Possibilities

For each of the following summaries, first indicate what the usual interpretation would be, then indicate whether there are any other possibilities. a. r = 1. b. r = 0.85. c. r = 0. d. r= -0.15. e. r = -1.

### Calculating a Correlation

7 For the following data (a) display the data in a scatter plot, (b) calculate the correlation r, and (c) make a conclusion about the data type of correlation. The number of hours 6 students watched television during the weekend and the scores of each student who took a test the following Monday. Hours spent watching TV, x 0

### Swapping X and Y Values to Calculate the Correlation Coefficient r

Row 1 - Row 2 20 - 127 24 - 113 31 - 185 48 - 121 51 - 124 69 - 111 77 - 129 a) Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 represent the y-values.(round to three decimal places as needed) b) Calculate the correlation coefficient r, letting Row 2 represent the x-values an

### Testing for Linear Correlation

Testing for a linear correlation. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from the table below using a=0.05. Determine whether the is sufficient evidence to supporta claim of a linear correlation between the two variables. CPI and Pizza; The paired va

### Examples of the misuse of statistics

Discuss cases where statistics are improperly used or represented.

### Negative and Positive Correlations Explained

Judy has conducted an analysis for her supervisor. The results she obtained was a correlation coefficient that was negative 0.86. Judy is confused by this number and feels that because it is negative and not positive, is means that it is bad. You are here supervisor. How would you clarify this result for Judy regarding the m

Can you give me an example of a misleading correlation and an example of a meaningful correlation? Then explain the relationship between correlation and causation.

I need help with a couple questions: - An example of a misleading correlation and an example of a meaningful correlation. - Explain the relationship between correlation and causation.

### Linear Correlation Assignments

In this assignment, you should solve four questions, where you will be asked to calculate a linear correlation coefficient and determine whether there is a linear correlation between the two given variables. Solve the following: 1. Listed below are baseball team statistics consisting of the proportions of wins and the result

### False Conclusions Based on Causation of a Variable

Name a situation in which a relationship exists in which people tend to jump to false conclusions about one variable causing the other?

### Correlation Between Two Variables

Bill is doing a project for you in the marketing department. In conducting his analysis regarding consumer behavior and a new product that has come out, he tells you the correlation between these two variables is 1.09. What is your response to this analysis?

### How may correlation analysis be misused to explain a cause-and-effect relationship?

How may correlation analysis be misused to explain a cause-and-effect relationship?

### Correlation Coefficients

Explain the concept of correlation and how to interpret correlation coefficients of 0.3, 0, and -0.95.

### Computing correlation coefficients

Compute the correlation coefficient for the data below: X 4 -1 1 3 4 Y 3 -1 -2 3 1 A) -0.082 B) 0.013 C) 0.286 D) 0.77 Compute the correlation coefficient for the data below. X 2 1 0 3 Y 4 2 8 1 A) -0.142 B) 0.429 C) -0.792 D) -0.349 Ten pairs of points yielded a correlation coefficient r = 0.79. If ? = 0.05, which

### Draw scatter diagram and find correlation coefficient

Car Weight MPG 1 3775 19 2 3964 17 3 3530 21 4 3175 22 5 2580 27 6 3730 18 7 2605 26 8 3772 17 9 3310

### Meryl's Apparel

Meryl's Apparel is an upscale chain of women's clothing stores, located primarily in the southwest United States. Due to recent success, Meryl's top management is planning to expand by locating new stores in other regions of the country. The director of planning has been asked to study the relationship between yearly sales and t

### What is the correlation coefficient between Irwin's sales and costs and between sales and GNP growth?

What is the correlation coefficient between Irwin's sales and costs and between sales and GNP growth? Year GNP Growth Sales Costs 1990 2.0% \$105,400 \$71,000 1991 1.5 101,900 72,200 1992

### Psychological Statistics: Correlation Coefficient

Calculate the correlation coefficient using the following values: Question: Is there a correlation between student anxiety scores and number of study hours? Interpret your findings. Caution: The question is missing something? What? Student Anxiety Scores Study Hours 5 1 10

### Clarifying the Result for the Meaning of the Correlation

Judy has conducted an analysis for her supervisor. The results she obtained was a correlation coefficient that was negative 0.86. Judy is confused by this number and feels that because it is negative and not positive, is means that it is bad. You are here supervisor. How would you clarify this result for Judy regarding the meani

### Correlation Coefficients and Data Analysis

Given: The paired sample data of the age of mothers and the weight of their children result in a linear correlation coefficient very close to 0. Conclusion: Older mothers tend to have heavier children. Describe the error in the stated conclusion. A. A linear correlation coefficient very close to 0 implies that there is a

### Do you think there is a correlation between CEO salaries and the degree of success of a company? If you were to take a sample of companies with comparable size, market capitalization, and product category, and plot CEO salaries against the net profit of their respective companies, do you expect to find a linear correlation between the two? Explain.

I am in a business statistics class and I am having a tremendous challenge in understanding some of the work. Below is a discussion question I have and my answers are due tonight! Can you help me answer all the questions below but in laymen terms to help me grasp the concepts? I dearly would like to understand how to come up w

### Calculate the Correlation Coefficient

(1) Draw a scatter plot and a quantile-quantile plot based on these two variables. (2) Normalize the two variables based on z-score normalization. (3) Calculate the correlation coefficient. Are these two variables positively or negatively correlated?

### Global Warming Statistics

Below are Global carbon dioxide concentrations and the measured change in Global temperature (Temperature Anomaly) for an 11 year period in our recent past: YEAR CO2 Concentration (ppm) Temperature Anomaly (ºC) 1981 339.93 .043 1982 341.13 .

### Solving the Correlation Problem

It appears that there is a significant relationship between cognitive ability and social rank, at least for birds. Bogart, Reader, and Laland (2006) measured social rank and individual learning ability for a group of starlings. The following data represent result results similar to those obtained in the study. Because social ran

### Statistics12&13

I attached two files. 7. The figure below has six scatter diagrams for hypothetical data. The correlation coefficients, in scrambled order, are: -0.85 -0.38 -1.00 0.06 0.97 0.62 Match the scatter diagrams with the correlation coefficients. 9. Find the correlation coefficient for each of the three data sets shown be

### Significance of Correlation Coefficient: CIA Data

See attached data file. Use the attached CIA Economic and Demographic data report on 46 countries. Take the variables literacy rate, population, and GDP for each country, and compute the correlation among variables. In other words, find the correlation between literacy and pupulation, literacy and GDP, and population and GDP.

### Do you think there is a correlation between CEO salaries and the degree of success of a company? If you were to take a sample of companies with comparable size, market capitalization, and product category, and plot CEO salaries against the net profit of their respective companies, do you expect to find a linear correlation between the two? Explain

Do you think there is a correlation between CEO salaries and the degree of success of a company? If you were to take a sample of companies with comparable size, market capitalization, and product category, and plot CEO salaries against the net profit of their respective companies, do you expect to find a linear correlation betw