Sp23 Homework 6

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School

University of Delaware *

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200

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Statistics

Date

Feb 20, 2024

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docx

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Uploaded by ProfKoupreyPerson3274

Homework 6 (non-Excel portion) Spring 2023 Must be uploaded into Canvas by 11:55 pm on Wednesday, April 12, 2023. Upon submitting this homework, I affirm that I have not given or received unauthorized aid on this homework, and I completed this work honestly and according to the instructor’s guidelines. Answers may be typed or handwritten. Homeworks are graded on completion, not accuracy. Work must be shown on the homework to receive full credit. Credit for completion will not be awarded if adequate effort has not been shown. Each homework is worth 2.5 points. So, for example, if a student gets a score of 2.5, it means that they did all the work, it does not mean the answers are all correct . In order to promote professional development of students in learning the importance of appearance and presentation of submitted work, 0.1 point will be deducted from homework scores for each the following conditions that are not met (students could lose a total of 0.2 points for not meeting these conditions):  Questions numbered and done in order (all work and answers for each question in one place)  Increased space between each question if the answers are included on the posted homework assignment If you take any definitions/concepts directly from the packet, please cite the page number in the packet . YOU MUST SHOW WORK TO GET CREDIT. 1. Fill in the following chart for the correlation coefficient. No credit will be given unless the entire chart is filled in. Name Symbol What it Tells Us Abs. or Rel.? (give units if absolute) Boundaries What Extremes Signify Population Correlation Coefficient Sample Correlation Coefficient

2. Fill in the following chart for the coefficient of determination. No credit will be given unless the entire chart is filled in. Name Symbol What it Tells Us Abs. or Rel.? (give units if absolute) Boundaries What Extremes Signify Population Coefficient of Determination Sample Coefficient of Determination (Questions 1-2 can be completed after Lecture 27.) 3. Fill in the following chart for the standard error of the estimate. No credit will be given unless the entire chart is filled in. Name Symbol What it Measures Abs. or Rel.? (give units if absolute) Boundaries What Extremes Signify Standard Error of the Estimate 4. Fill in the following chart for the regression coefficients. No credit will be given unless the entire chart is filled in. Name Symbol What it Tells Us Abs. or Rel.? (give units if absolute) Boundaries Population Intercept Sample Intercept Population Slope Sample Slope

5. A person interested in buying a new home wants to test for a relationship between square footage and tax. The standard deviation of square footage is 465 square feet. The standard deviation of tax is $2,976.00. The correlation coefficient is .91. If we are predicting square footage from tax, compute the regression coefficient. Using the phrase given in class (On average, …) and following the pattern given in class, interpret this slope. You must use the phrase on average and follow the pattern given in class to get any credit . (Use the formula for b 1 at the top of p. 179 to solve this problem.) 6. List what we are concluding if we accept the null in a regression problem (p. 179 in the course packet). Then list what we are concluding if we reject the null in a regression problem. You must list all the statements presented in the entire slide (four for the null and five for the alternative) in class in order to get credit. Make sure you number them . 7. Write a scenario for a simple regression problem. You must include what the two variables are, stating which one is x and which one is y. Remember, y must be quantitative. Do not use the scenarios that are included in the course packet. If you base your idea off of another source, you must state the source. (Questions 3-7 can be completed after Lecture 28.)

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