The average speed reached by the winners of the Tour de France increased by 53.9% since the first race in 1903 through 2017. We performed a regression of the average winning speeds on years, for the modern era of the Tour, from 1967 to 2017. We obtained the following scatterplot, showing the fitted line: ̂ Average Speed = −225.48 + 0.1323 Y ear. i) Are the conditions for regression met? ii) The years 1999–2005 have been disqualified because of doping. How does this help explain the fact that 9 out of 10 residuals in the final 10 years are negative? iii) Would you extrapolate from this model to predict next year’s

The beta of a stock has been estimated as 1.4 using regression analysis on a sample of historical returns. A commonly-used adjustment technique would provide an adjusted beta of A. 1.32. B. 1.13. C. 1.0. D. 1.27.

From the graphs displayed, is there evidence to suggest that there is a positive linear relationship between Square Feet and Bathrooms, for the population of real estate represented by this sample? Be sure to provide numeric support in your answer.

A random sample of 136 adults were asked to report the number of hours per week the spent on a computer and their number of years of education. The linear model equation below describes the relationship between the mean computers hours and years of education. computers == 9.12 ++ 0.8 ×× education Based on this linear model, which of the following statements is correct? a) An adult who has no years of education is expected to spend 9.12 hours per week on a computer. b) An adult who has 1 more year of education than another is expected to spend 9.12 more hours per week on a computer. c) An adult who spends 1 more hour per week on a computer than another is expected to have had 9.12 more years of education. d) An adult who spend zero hours per week on a computer is expected to have 9.12 years of education.

Select the correct statement below. In Binomial regression, the natural link Question 2Select one: a. is the only way to model data. b. guarantees a good fit of model to data. c. does not guarantee good fit of model to data. d. is just one among several possibilities to model data. e. None of the given statements.

2

In running a logistic regression, a statistician decided to include decade of life (20s, 30s, 40s, 50s, 60s) as a categorical variable in the systematic component because they didn't believe the relationship between the log-odds and age was linear. Using dummy variables to create the systematic component, how many dummy variables would be needed to represented age?