Make a scatterplot of the data and graph the function on the same coordinate grid. Calculate th residuals and make a residual plot. Describe the fit of the function to the data. SEE EXAMPLE 3 20. f(x) = 2x2-x+1 %3D
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- A manager wishes to predict the annual cost (y) of an automobile based on the number of miles (x) driven. The following model was developed: y = 1,550 + 0.36x. If a car is driven 15,000 miles, the predicted cost is ____________.A Filipino analyst used regression analysis between $ sales (y) and $ advertising (x) across all the branches of a major international corporation. He obtained the following regression function. y = 6000 + 7.5x If the advertising budgets of one the of branches of the corporation is $12,250, then what will be the predicted sales?Find the average rate of chage f(x)=3x4/3 [1,8]
- Which of the following is appropriate advice given the value t in the profit model is negative?use the tables on the next page, whichgive a set of input values x and the corresponding outputsy that satisfy a function. a. Would you say that a linear function could beused to model the data? Explain.b. Write the equation of the linear function that fitsthe data.A real estate agent finds the following regression line for predicting the price of a house (y), in thousands of dollars, from the square footage (x). y = 160.2 + 0.09xUse this equation to predict the price of a 2,300 sq. foot house.
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- An apple orchard yields 20 bushels of apples per tree when there are 75 trees per acre. For each additional tree per acre, it is estimated that yield will decrease by 3 bushels per tree. How many trees should be planted per acre to maximize the yield? Round to the nearest tree.As OHaganBooks.com has grown in popularity, the sales manager has been monitoring book sales as a function of the website traffic (measured in thousands of visits per day) and has obtained the following model s(x) = 1.65x if 0 ≤ x ≤ 100 1.85x − 20 if 100 < x ≤ 250, where s(x) is the average number of books sold in a day in which there are x thousand visitors. (a) On average, how many books per day does the model predict that OHaganBooks.com will sell when it has 60,000 visits in a day? books On average, how many books per day does the model predict that OHaganBooks.com will sell when it has 100,000 visits in a day? books On average, how many books per day does the model predict that OHaganBooks.com will sell when it has 160,000 visits in a day? books (b) What does the coefficient 1.85 tell you about book sales? The coefficient 1.85 is the intercept of the first formula, measured in books sold per thousand visitors. Thus, if there were 0…The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The data can be modeled by f(x)=966x+3434 and g(x)=3852e0.132x in which f(x) and g(x) represent the average cost of room and board at public four-year colleges in the school year ending x years after 2010. Use these functions to complete parts (a) through (c) below. A.The average cost in 2017 was $______.