STAT 200 ASSIGNMENT

Question # 00567879 Posted By: Prof.Longines Updated on: 07/29/2017 08:20 AM Due on: 07/29/2017
Subject Statistics Topic General Statistics Tutorials:
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1. Use the CleanedSummer16Data.xlsx file to answer the following questions. This is an Excel file. Copy and paste the data from Excel to Minitab Express.

These data were collected from a representative sample of STAT 200 students in the summer 2016 semester. (45 points)

A. Createa scatterplot with shoe size on the X-axis and height on the Y-axis.

B. Describe the scatterplot that you made in part A in terms of direction, shape, strength, and outliers.

C. Compute the correlation (Pearson'sr) for the relationship between shoe size and height. Use the five-step hypothesis testing procedure to determine if the correlation is statistically significant.

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D. Would the correlation between shoe size and height be stronger or weaker if only data from males were included? Explain why.


2. Use the file BodyData.MTW to answer the following questions. These data were collected from a representative sample of adults who exercise regularly. (45 points)

A. Createa scatterplot with height on the X-axis and chest diameter on the Y-axis.

B. Use the five-step hypothesis testing procedure to determine if there is a statistically significant relationship between height and chest diameter. (Use Pearson'sr)

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C. Use the five-step hypothesis testing procedure to determine if height is a statistically significant predictor of chest diameter. In other words, test for the significance of the slope in the simple linear regression model. Don't forget to check all of the assumptions!

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D. Use the five-step hypothesis testing procedure to determine if chest diameter is a statistically significant predictor of height. All assumptions have been met.

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E. How was the regression model impacted when the X and Y variables were switched? (i.e., compare the slope, y-intercept, p-values, and r-squared values)

F. Mr. Miller is an adult. He is 170 cm tall. Use your regression equation from part C to predict Bob's chest diameter.

H. Mr. Miller's actual chest diameter is 28 cm. What is Mr. Miller's residual?

K. Mr. Miller has no knowledge of statistics. How would you explain what his residual means to him?

L. Helen is 4 years old. Would it be appropriate to use your regression model from part C to compute her residual? Why or why not?






3. Dr. Jones is concerned that some of his statistics students may be cheating on their homework assignments. He would like to use regression methods to try to determine which students he should be concerned about cheating on homework assignments. He creates a simple linear regression model using homework grades to predict exam grades. His exams are proctored so he is relatively confident that his students are not cheating on the exams. His scatterplot with the 95% prediction interval is shown below.



Discuss how this professor could use this plot to identify students who may be cheating. It is expected that it will take you around 50 words to fully discuss this. [10 points]

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  1. Tutorial # 00565538 Posted By: Prof.Longines Posted on: 07/29/2017 08:21 AM
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