1. 2 points per question (total of 6 points) FILE Startups. Many of today's leading companies, including Google, Microsoft, and Facebook, are based on technologies developed within universities. Lisa Fisher is a business school professor who would like to analyze university factors that enhance innovation. She collects data on 143 universities for a regression where the response variable is the number of startups (Startups), which is used as a measure for innovation. The predictor variables include the university's research expenditure (Research in $ millions), the number of patents issued (Patents), and the age of its technology transfer office (Duration in years). A portion of the data is shown in the accompanying table. Startups Research Patents Duration 1 145.52 8 23 1 237.52 16 23 1 154.38 3 9 a. Estimate: Startups = Bo+BResearch + B2Patents + 3Duration + . b. Predict the number of startups for a university that spent $120 million on research, was issued eight patents, and has had a technology transfer office for 20 years. c. How much more research expenditure is needed for the university to have an additional predicted startup, with everything else being the same? 2.2 points per question (total of 6 points) FILE Arlington. A Realtor in Arlington, Massachusetts, is analyzing the relationship between the sale price of a home (Price in $), its square footage (Sqft), the number of bedrooms (Beds), the number of bathrooms (Baths), and a Colonial dummy variable (Colonial equals 1 if a colonial-style home, 0 otherwise). She collects data on 36 sales in Arlington for the analysis. A portion of the data is shown in the accompanying table. Price Sqft Beds Baths Colonial 840000 2768 4 3.5 1 822000 2500 4 2.5 1 307500 850 1 1 0 a. Estimate the model: Price = Bo+BSqft + B2Beds + B3Baths + B4Colonial + . b. Interpret the coefficients attached to Beds and Colonial. c. Predict the price of a 2,500-square-foot, colonial-style home with three bedrooms and two bathrooms.