Exam 10: Multiple Regression

Use the following to answer the questions below: Is there such thing as a "home court/field advantage"? The number of points scored and whether or not it was a home game are available for a sample of games played by the Boston Celtics during the regular season. The Home variable is coded as 1 = home game and 0 = away game. The regression equation is Points Scored = 102 - 8.76 Home -How many points are the Celtics predicted to score in an away game? Round to one decimal place.

Use the following to answer the questions below: Data were collected on the age (in years), mileage (in thousands of miles), and price (in thousands of dollars) of a random sample of used Hyundai Elantras. Output from two models are provided. Single Predictor Model: The regression equation is Price = 13.8 - 0.0912 Mileage -One of the cars in the sample was a 5-year-old Hyundai Elantra with 87,100 miles being sold for $6,000. What is the predicted price of the car using the two predictor model? Round to three decimal places.

A boxplot of the residuals and a scatterplot of the residuals versus the predicted values are provided. Discuss whether the conditions for a multiple linear regression are reasonable by referring to the appropriate plots.

Use the following to answer the questions below: Is there such thing as a "home court/field advantage"? The number of points scored and whether or not it was a home game are available for a sample of games played by the Boston Celtics during the regular season. The Home variable is coded as 1 = home game and 0 = away game. The regression equation is Points Scored = 102 - 8.76 Home -Interpret the for this model.

Use the following to answer the questions below: While many people count calories, some often don't think about calories in the beverages they consume. Starbucks, one of the leading coffeehouse chains, provides nutrition information about all of their beverages on their website. Nutrition information, including number of calories, fat (g), carbohydrates (g), and protein (g), was collected on a random sample of Starbucks' 16 ounce ("Grande") hot espresso drinks. Note that all of the drinks in the sample are made with 2% milk unless the name specifically included the term "Skinny," which is how Starbucks indicated a beverage made with nonfat milk. The regression equation is Calories = 6.7 + 9.61 Fat (g) + 3.43 Carbs (g) + 4.42 Protein (g) -The "Caramel Macchiato" was one of the drinks selected for the sample. When made with 2% milk, a grande Caramel Macchiato has 7 grams of fat, 34 grams of carbohydrates, and 10 grams of protein. Predict the number of calories in a Caramel Macchiato. Round to two decimal places.

Use the following to answer the questions below: The ANOVA table from a multiple regression analysis is provided. ‪ -How many predictors are in the model?

Use the following to answer the questions below: Output for a model to predict the GPAs of students at a small university based on their Math SAT scores, Verbal SAT scores, and the number of hours spent watching television in a typical week is provided. The regression equation is GPA = 1.80 + 0.00104 Math SAT + 0.00142 Verbal SAT - 0.0147 TV -Some of the information in the ANOVA table is missing. How many degrees of freedom should appear in the "Regression" row of the table?

Use the following to answer the questions below: Does the price of used cars depend upon the model? Data were collected on the selling price and age of used Hyundai Elantras (coded as Model = 1) and Toyota Camrys (coded as Model = 0). Output from the multiple regression analysis is provided. The regression equation is Price = 14.5 - 0.619 Age - 3.63 Model -What is the predicted price of a 6-year-old Toyota Camry? Round to three decimal places.

Use the following to answer the questions below: Data were collected on the age (in years), mileage (in thousands of miles), and price (in thousands of dollars) of a random sample of used Hyundai Elantras. Output from two models are provided. Single Predictor Model: The regression equation is Price = 13.8 - 0.0912 Mileage -Explain why Age is a potential confounding variable in the relationship between Age and Price of used Hyundai Elantras.

Use the following to answer the questions below: Data were collected on the age (in years), mileage (in thousands of miles), and price (in thousands of dollars) of a random sample of used Hyundai Elantras. Output from two models are provided. Single Predictor Model: The regression equation is Price = 13.8 - 0.0912 Mileage -Is mileage a significant single predictor of the price of used Hyundai Elantras? Use α = 0.05. Include all details of your test.

Use the following to answer the questions below: A small university is concerned with monitoring the electricity usage in its Student Center, and its officials want to better understand what influences the amount of electricity used on a given day. They collected data on the amount of electricity used in the Student Center each day and the daily high temperature for nearly a year. They also made note of whether each day was a weekend or not (1 = Saturday/Sunday and 0 = Monday - Friday). Regression output is provided. Helpful notes: 1) Electricity usage is measured in kilowatt hours, 2) During the cold months, the Student Center is heated by gas, not electricity, and 3) Air conditioning the building during the warm months does use electricity. The regression equation is Electricity = 83.6 + 0.529 High Temp - 25.2 Weekend ‪ -Interpret the coefficient of Weekend in context.

Use the following to answer the questions below: Output for a model to predict the GPAs of students at a small university based on their Math SAT scores, Verbal SAT scores, and the number of hours spent watching television in a typical week is provided. The regression equation is GPA = 1.80 + 0.00104 Math SAT + 0.00142 Verbal SAT - 0.0147 TV -The for this model is missing in the provided output. Use the available information to compute (round to three decimal places) for this model.