Day 9 Daily ANOVA Block

What percent of the variability in the response variable is explained by the explanatory variable? Is the relationship between the two variables significant or not? Show your work.

Suppose we want to know the impact of air quality on crime. To perform this study, we collect air quality measurements across the U.S., as well as daily crime statistics for 300 metropolitan areas. In this study: (1) What is the explanatory variable?

As part of an evaluation program, a sport goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in Table 2 below. Table 2 Trial Connondale Kona Bike Bianch Orbea 43 37 41 43 46 38 45 45 3 43 39 42 46 The data collected was analyzed and Output 2 is shown below. Output 2 Source of Variation Bicydle Brands df MS F p-value 81.33 27.11 10.17 0.004 Error 21.33 2.67 Total 11 102.67 At the 0.01 level of significance, is there sufficient evidence to conclude that the mean of downhill coasting speeds is not the same for the four different brands of bicycles? (Use critical value method and P-value method)

Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article "An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 181 diabetic patients. The results are presented in the following table. Left Foot Right Foot 80 80 85 85 75 80 88 86 89 87 87 82 78 78 88 89 89 90 76 81 89 86 87 82 78 78 80 81 87 82 86 85 76 80 88 89 Construct a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Verify that a linear model is appropriate. b. Compute the least-squares line for predicting the right foot temperature from the left foot temperature. If the left foot temperatures of two patients differ by 2 degrees, by how much would you predict their right foot temperatures to differ? Predict the right foot temperature for a patient whose left…

In a test of the effectiveness of garlic for lowering​ cholesterol, 41 senior citizens were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol​ (in mg/dL) have an average​ (mean) of 3.8. Identify the​ sample, the​ population, the sample​ statistic, and the population parameter in this study.

If we have cross sectional transportation data with the following variables: mode of transportation (air, train, truck), revenue, weight, distance, commodities, Location of origin and destination, and Year, but with different samples for different years. If i use panel data regression analysis techniques such as pooled OLS, Fixed effects or random effects, do i need to create a dummy variable for each year and include it into my model?

A statistical program is recommended. A company provides maintenance service for water-filtration systems throughout southern Florida. Customers contact the company with requests for maintenance service on their water-filtration systems. To estimate the service time and the service cost, the company's managers want to predict the repair time necessary for each maintenance request. Hence, repair time in hours is the dependent variable. Repair time is believed to be related to three factors, the number of months since the last maintenance service, the type of repair problem (mechanical or electrical), and the repairperson who performed the service. Data for a sample of 10 service calls are reported in the table below. Repair Time in Hours 2.9 3.0 ŷ 4.8 1.8 2.7 4.9 4.6 4.8 4.4 4.5 Months Since Last Service 2 6 8 3 2 7 9 8 4 6 Type of Repair Repairperson Electrical Mechanical Electrical Mechanical Electrical Electrical Mechanical Mechanical Electrical Electrical Dave Newton X Dave Newton…

A statistical program is recommended. A company provides maintenance service for water-filtration systems throughout southern Florida. Customers contact the company with requests for maintenance service on their water-filtration systems. To estimate the service time and the service cost, the company's managers want to predict the repair time necessary for each maintenance request. Hence, repair time in hours is the dependent variable. Repair time is believed to be related to three factors, the number of months since the last maintenance service, the type of repair problem (mechanical or electrical), and the repairperson who performed the service. Data for a sample of 10 service calls are reported in the table below. Repair Time in Hours 2.9 3.0 4.8 1.8 2.7 4.9 4.6 4.8 4.4 4.5 Months Since Last Service 2 6 8 3 2 7 9 8 4 6 Type of Repair Repairperson Electrical Mechanical Electrical Mechanical Electrical Electrical Mechanical Mechanical Electrical Electrical Dave Newton Dave Newton Bob…

A statistical program is recommended. A company provides maintenance service for water-filtration systems throughout southern Florida. Customers contact the company with requests for maintenance service on their water-filtration systems. To estimate the service time and the service cost, the company's managers want to predict the repair time necessary for each maintenance request. Hence, repair time in hours is the dependent variable. Repair time is believed to be related to three factors, the number of months since the last maintenance service, the type of repair problem (mechanical or electrical), and the repairperson who performed the service. Data for a sample of 10 service calls are reported in the table below. ŷ = Repair Time in Hours 2.9 3.0 ŷ = 4.8 1.8 2.4 4.9 4.7 4.8 4.4 4.5 Months Since Last Service 2 6 8 3 2 7 9 8 4 6 Type of Repair Electrical Mechanical Electrical Mechanical Electrical Electrical Mechanical Mechanical Electrical Electrical Repairperson Dave Newton Dave…