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Briefly describe the concept of VIF (what is it, why do we use it) and explain how to calculate VIF in a model with 3 independent variables.
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- What type pf correlation does the graph show ?Construct a table from the data shown. Which is the dependent variable and which is the independent variable? Summarize the data in equation form.The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 Let f(t) be the number of polio cases in the world t years since 1980. Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linear or exponential model? Select an answer Find an equation of f. Hint f(t) = 350 138 33 4 3.2 1.3 The number of polio cases Select an answer Hint Round the coefficients to 2 digits. Predict the number of polio cases in 2017. years by Select an answer Predict in which year there will be 1 case of polio. Find the approximate half-life of the number of polio cases. Hint per year.
- Construct a table from the data shown on the graph below. Which is the dependent variable and which the independent variable? Summarize the data in equation form.The following data was collected to explore how a student's age and GPA affect the number of parking tickets they receive in a given year. The dependent variable is the number of parking tickets, the first independent variable (1) is the student's age, and the second independent variable (x2) is the student's GPA. Effects on Number of Parking Tickets Age GPA Number of Tickets 17 2 1 17 2 2 18 2 4 20 2 5 20 3 5 22 3 6 233 22 3 6 3 7 25 4 7 Copy Data Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant. Answer How to enter your answer (opens in new window) Selecting a checkbox will replace the entered answer…What is the variable that adjusts the effect of the independent variable on the dependent variable (one word)
- For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition, determine the measurement scale. a. Time, in hours, spent working per month b. Name of a household's cable television provider c. Number of online purchases made in a month d. Satisfaction rating of a cable television provider (from low to high) e. Time, in hours, spent surfing the Internet per month a. Time, in hours, spent working per month is what kind of variable? O A. This variable is a continuous numerical variable that is ratio-scaled. O B. This variable is a discrete numerical variable that is ratio-scaled. OC. This variable is a discrete numerical variable that is interval-scaled. O D. This variable is a categorical variable that is ordinal-scaled. O E. This variable is a categorical variable that is nominal-scaled. O F. This variable is a continuous numerical variable that is…Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following graph indicates the relationship between income the survey subjects earned and the price of the car that they purchased. The variable shown on the vertical axis is __________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods). The units for the variable on the horizontal axis are _________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods). There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $50,000 last year and purchased a new car, you would expect that person to…Your boss would like your help on a marketing research project she is conducting on the relationship between the price of soda and the quantity of soda demanded. She hands you the following document: Price of Soda Quantity of Soda Demanded (Dollars per can) (Billions of cans) 0.50 2,000 0.75 1,500 1.00 1,000 1.25 750 Your task is to take this and construct a graphical representation of the data. In doing so, you determine that as the price of soda rises, the quantity of soda demanded decreases. This confirms the
- 1. Solve the following problem by using Excel for graph sketching. A soda vendor at Louisiana State University football games observes that more sodas are sold the warmer the temperature at game time is. Based on 32 home games covering five years, the vendor estimates the relationship between soda sales and temperature to be y = -240 + 8x, where y = the number of sodas she sells and .x = temperature in degrees Fahrenheit, (a) Interpret the estimated slope and intercept. Do the estimates make sense? Why, or why not? (b) On a day when the temperature at game time is forecast to be 80°F, predict how many sodas the vendor will sell. (c) Below what temperature are the predicted sales zero? (d) Sketch a graph of the estimated regression line.The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) Which scatterplot below shows the data? O A. 40- 20+ 2000 5000 2855 3050 3810 3985 4250 2275 3525 33 32 27 24 22 39 28 Weight (lb) Q Q O B. 40 20+ 2000 AHH 5000 Weight (lb) Q Q Is there a linear relationship between weight and highway mileage? O A. No, there appears to be a relationship, but it is not linear. O B. Yes, as the weight increases the highway mileage decreases. O C. Yes, as the weight increases the highway mileage increases. OD. No there appears to be no relationshin C O C. Q 40- M Q 20++ 2000 5000 Weight (lb) Highway ( O D. Highway (mpg) 40- 20+ 2000 5000 Weight (lb) QConsider the following summary statistics of the variables x, y and z var(x) = 2.4, var(y)=3.2, var(z) =1.1 cov(x,y) = 3.1, cov(x,z) = 4.2, cov(y,z) = 8 What is the instrumental variable (IV) estimator of the effect of x on y when you use the variable z as an instrumental variable?
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