A shoe store developed the following estimated regression equation relating sales to inventory investment and advertising expenditures. ý = 25 + 12x, + 7x2 where X = inventory investment ($1,000s) X2 = advertising expenditures ($1,000s) y = sales ($1,000s). (a) Predict the sales (in dollars) resulting from a $15,000 investment in inventory and an advertising budget of $11,000. $ (b) Interpret b, and b, in this estimated regression equation. Sales can be expected to increase by $ in advertising expenditure when inventory investment is held constant. for every dollar increase in inventory investment when advertising expenditure is held constant. Sales can be expected to increase by $ for every dollar increase

people eat cereal as a daily source of fiber, and these cereals contain the mineral potassium.  Suppose a linear model was made to predict a cereal's potassium content using its fiber content, and suppose the model had intercept 37 and slope 25. For a cereal having 270 milligrams and 18 grams of fiber, what is the residual (in mg)?

Flying twice as farA flight from Los Angeles to ABQ is about 2 hours but is 670.2 miles.A flight from San Jose to Chicago is 4 hours but is 1859.0 miles.Can anyone explain why the travel time from San Jose to Chicago is notlonger and closer to 5.75 hours?If the distance increase by 2, shouldnt the time increase by a factorof 2 as well?1. Write a linear model for this question. Takeoff and landing will take a fixed amount of time. Actualtravel in the air will take time proportional to the distance traveled. Think about which of thevariables (time and distance) is the independent variable, and identify the slope and intercept withtheir units.2. Use the data in the quotation to estimate the two constants in your linear model.

The Terre Haute Association of Realtors conducts a study to examine the association between the size of a home (in square feet) and the price the home sells for (in dollars). a regression model is then created to predict the price based on the size of the home and is given by the following equation: Price = - 43511+86.3(Size) a) Interpret the slope and intercept of the model in context using a complete sentence. b) Predict the selling price of a home with 2000 square feet. c) Suppose R2- 9225 Interpret its meaning in context using a complete sentence. d) Would it be better for a person to experience a positive or negative residual in this context? Please explain in a complete sentence.