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Regression and Correlation are two of the most often used and abused tools in research. People are quick to jump to conclusions that if a relationship exists between two variables, then one must cause (causation) the other. There are many reasons why two variables can be related without causality. Please respond to the following:
Comparing the amount of money people spend and the amount people save, your analysis revealed an R-squared=0.97. Should you use this for predictive purposes and why?
Comparing the number of cops on our streets and the number of reported crimes, your analysis revealed an R-squared=0.40. Should you use this for predictive purposes and why?
How could this apply in your profession?
Suppose your instructor randomly surveyed his or her performance (i.e., students "graded" the teacher) this semester). The frequency of ratings are as follows: A: 10 B: 6 C: 6 D: 3 F: 2 Please answer the following: Did your instructor, over many years of teaching, perform outstandingly? Why or why not? Provide analysis. Can you describe a chi-squared application in your profession?
What is the difference between dependent and independent samples? Discuss differences is statistical treatment, statistical power, and data management.
Set up a hypothesis test. Is Charmers' truthful? Describe by working through hypothesis test.
In certain normal distribution of scores, mean is 50 and standard deviation is 4. Determine z-score corresponding to a score of 55.
We are establishing a quality control program for a process and need to establish the mean and standard deviation for the process. The first 10 batches had samples of size 5 taken.
The times it takes workers to complete a task at a certain assembly plant are normally distributed with mean = 10 minutes and standard deviation = 2 minutes.
Make a scatter plot, illustrate the regression lines. Determine the correlation coefficient between husband’s and wife’s education for couples in which wife is employed full time?
Fifty raffle tickets are numbered 1 throughout 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 8? Consider the following "solution": Since 10 tickets bear numbers that are multiples of 5 and 6 ..
Standard error for regression equation - determination and non determination and explain the meaning of each.
Reading highway signs is not always easy, especially if your vision is imperfect. Vision in general tends to deteriorate with age. Two researchers conducted a study to determine if the distance at which a standard highway sign could be recognized ..
According to the regional bar assoc., 60% of people who take the bar exam pass. Find the approximate probability that at least 61% of 200 randomly selected people taking the bar will pass. Round to three decimal places as needed.
Explain probability distribution of X (name and parameters).
A personnel manager for a large corporation feels that there may be a relationship between absenteeism and age and would like to use the age of a worker to develop a model to predict the number of days absent during a calendar year.
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