Part 1

First Scenario . Betsy is interested in relating quality of teaching to quality of research by college professors. She has access to a sample of 50 social science professors who were teaching at the same university for a 10-year period. Over this 10-year period, the professors were evaluated on a 5-point scale on quality as instructors and on quality of their courses. Betsy has averaged these ratings to obtain an overall quality rating as an instructor (rating_1) and the overall quality of the course (rating_2) for each professor. In addition, Betsy also has the number of articles that each professor published during this time period (num_pubs) and the number of times these articles were cited by other authors (cites).

1. Conduct a correlational analysis to investigate the relationships among these variables. Identify the following on the output:

1. p value for the correlation between rating_1 and rating_2
2. Correlation between cites and num_pubs
3. Correlation between cites and rating_1

2. What is the relationship between the number of articles published and the overall quality of the instructor?

3. Write a Results section based on your analysis of these data.

4. Create a scatterplot matrix to show the relationships among the four variables.

2nd. Scenario . A clinical psychologist would like to determine whether there is a relationship between observer ratings of children’s anxious behaviors and scores on an established diagnostic interview assessing anxiety disorders. He administers the diagnostic interview to 28 children and records these scores. He then trains an observer to independently rate anxiety-specific behaviors for each of the 28 children. These ratings are totaled for an overall "anxious behavior" score. On both the interview and the behavioral ratings, a higher score indicates higher levels of anxiety. These scores are listed in the table below. Conduct a Pearson correlation coefficient analysis to determine whether there is a relationship between the interview scores and behavioral ratings for this group of children.

1. Create a simple scatterplot of the relationship between these variables (define interview scores as the x-axis and behavioral ratings as the y-axis).
2. What can you state about the relationship between these two variables?
3. A neuropsychologist is assessing the relationship between brain function and performance on a visuo-spatial task. He administers a test to 14 patients on which scores can range from 1 to 20: a high score indicates normal brain function, and a low score indicates some levels of brain dysfunction. He then asks each patient to complete a maze and records the number of mistakes the patient makes from start to finish. The scores are listed in the table below. Conduct a Pearson correlation coefficient analysis to determine what the relationship is, if any, between brain function and performance on the maze task.
   
   
4. Create a simple scatterplot of the relationship between these variables.
5. What is the correlation between brain function and number of mistakes on the maze task?

The null hypothesis for this scenario can be written as follows: "There is no relationship between level of brain function and the number of mistakes made on a maze task." Based on your results, should this hypothesis be accepted or rejected, and why? Write your answer in sentence.

3rd. scenario . Peter was interested in determining if children who hit a bobo doll more frequently would display more or less aggressive behavior on the playground. He was given permission to observe 10 boys in a nursery school classroom. Each boy was encouraged to hit a bobo doll for 5 minutes. The number of times each boy struck the bobo doll was recorded (bobo). Next, Peter observed the boys on the playground for an hour and recorded the number of times each boy struck a classmate (peer).

1. Conduct a linear regression to predict the number of times a boy would strike a classmate from the number of times the boy hit a bobo doll. From the output,identify the following:

1. Slope associated with the predictor
2. Additive constant for the regression equation
3. Mean number of times they struck a classmate
4. Correlation between the number of times they hit the bobo doll and the number of times they struck a classmate
5. Standard error of estimate

2. What is the relationship between the multiple R and the bivariate correlation between the predictor and the criterion?

3. Write the answer to the last part of this question beneath your graph, in sentence form.

4. Write a Results section based on your analyses.

Part Two:

1. A community psychologist is interested in whether spending time in after-school programs is predictive of the number of arrests as a young adult in a high-risk neighborhood. After collecting records on 17 individuals over 8 years, the psychologist compiles the information listed in the table below. Conduct a linear regression to analyze the research question.
   
2. Construct a scatterplot of the relationship between the two variables. Plot the regression line on this graph.
3. Write the equation of the regression line using the unstandardized coefficients from your output.
4. Is time spent in after school programs predictive of the number of arrests as a young adult? Why or why not?

Price: $27.37

Solution: The downloadable solution consists of 14 pages, 1337 words and 13 charts.
Deliverable: Word Document