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6.
Correlations are useful in studying relationships between two variables but have considerable limitations. Define the correlations and discuss the limitations of correlational research.
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- 7. Dependent & independent variables; positive & inverse relationships: Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following table indicates the relationship between income the survey subjects earned and the price of the car that they purchased. Price Income (Thousands of dollars per car) (Thousands of dollars per year) 0. 10 20 15 40 20 60 25 80 30 100 In the diagram below, draw the graph corresponding to the above table.In economics, what does the term ceteris paribus mean when analyzing the relationship between two variables? A. All other things being equal or held constant B. The direct relationship between two variables C. The inverse relationship between two variables D. The absence of any relationship between two variables4. A decision at the margin Suppose that Bella is a diligent first-year college student. One Sunday, she decides to start the day by working through 250 sample multiple choice problems to study for her statistics class. She starts work at 7:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she the hours pass, it takes her more time to solve the problems. Time 7:00 AM 8:00 AM 9:00 AM 10:00 AM 11:00 AM Total Problems Solved 0 100 175 225 250 Use the table to answer the following questions. The marginal, or additional, gain from Bella's second hour spent working, from 8:00 AM to 9:00 AM, is The marginal gain from Bella's fourth hour spent working, from 10:00 AM to 11:00 AM, is problems. problems. The following week, Bella's statistics faculty advisor gives her some advice. In all their years of teaching they claim to observe that working on 87.5 multiple choice questions boosts a student's test score by about the same amount as spending an hour…
- Refer to the figure below. According to this graph, the relationship between hours of study time and points on the exam is as follows: The relationship is first positive and then it turns negative. Positive but diminishing. Positive and increasing. a. b. C. d. Negative. Nonexistent. е. 10 8 9 0 12 Study time (hours) + vi 6:59 9 (WE2 UO SUIod) apEunQuestion 10 A moderating variable influences the original relationship between one or more independent variables and a dependent variable. True Falsea) direct relationship. b) inverse relationship. c) converse relationship d) negative relationship.
- CH SESSION 1.2: SELF-ASSESSMENT EXERCISE 1. Briefly explain the use of graphs as a way to represent economic relationships. What is an inverse relationship? How does it graph? What is direct relationship? How does it graph? 2. Graph each of the following sets of numbers in table 2 below. Draw a line through the points and calculate the slope of each line. 2X4 1 2 3 1 Y 5 10 20 X 0 5 20 2 Y 0 5 10 20 X 1 2 3 3 Y 25 20 15 X 0.1 0.3 Y 100 75 50 25 Table 2 3. For each of the graphs in table 2 above, determine whether the curve has a positive or a negative slope. Give an intuitive explanation for what is happening with the slope of each curve. ICON 1000 Principles of Economics I- UNIT 1 11What type pf correlation does the graph show ?Indicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team’s winning percentage and attendance at its home games. b. Higher temperatures and sweater sales. c. A person’s income and how often he or she shops at discount stores. d. Higher gasoline prices and miles driven in automobiles.
- 3. Boyoung is writing a paper about the effect of Sunday liquor sales on drunk driving. She has panel data on which states allow liquor to be sold on Sunday in which years and wishes to estimate a difference-in-differences model. She writes the following regression equation: Year DUIRate;; = atate +a? + BTreatmentt +yControl;t + Eit i Which of the following changes does Boyoung need to make? a) She should include a constant in the regression equation. b) She should not include controls because they're already accounted for by fixed effects. c) She should include a time trend instead of time-fixed effects. d) None of the above are changes she needs to make.Chapter 01 Homework Suppose that Rosa is a diligent hard-working first-year college student. One Sunday, she decides to start the day by working through 300 practice problems to study for the statistics class. Using a table to track her progress throughout the day, she notices that as the hours pass, it takes her longer to solve the problems. Time 7:00 AM 8:00 AM 9:00 AM 10:00 AM 11:00 AM Total Problems Solved 0 120 210 270 300 Use the table to answer the following questions. The marginal, or additional, gain from Piper's second hour spent working, from 8:00 AM to 9:00 AM, is The marginal gain from Piper's fourth hour spent working, from 10:00 AM to 11:00 AM, is problems. problems. The following week, Piper's statistics faculty advisor gives her some advice. In all their years of teaching they claim to observe that working on 105 multiple choice questions boosts a student's test score by about the same amount as spending an hour reviewing lecture notes. For simplicity, assume students…Which type of correlation does the scatter diagram show? A. Weak negative correlation B. Strong positive correlation C. Strong negative correlation D. Weak positive correlation O E. No correlation O O O O