The following estimated regression equation relating sales to inventory investment and advertising expenditures was given.ý = 21 + 13x₁ + 9x₂The data used to develop the model came from a survey of 10 stores; for those data, SST = 16,000 and SSR = 11,680.(a) For the estimated regression equation given, compute R².R² =(b) Compute R2. (Round your answer to two decimal places.)2R₂

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Answered: The following estimated regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following estimated regression equation relating sales to inventory investment and advertising expenditures was given. ŷ = 22 + 15x, + 6x2 The data used to develop the model came from a survey of 10 stores; for those data, SSyy (Total Sum of Squares) = 18,000 and SSR (Regression Sum of Squares) = 12,780. (a) For the estimated regression equation given, compute R2.(Round your answer to two decimal places.) R2 = (b) Compute the adjusted r-square, R2. (Round your answer to two decimal places.) (c) Does the model appear to explain a large amount of variability in the data? Explain. (For purposes of this exercise, consider an amount large if it is at least 55%. Round your answer to the nearest integer.) The adjusted coefficient of determination shows that | % of the variability has been explained by the two independent variables; thus, we conclude that the model --Select-- v explain a large amount of variability.
The chart below provides mileage data for various cars. Note the helpful information at the bottom of the chart. Use the given information and the formulas in this chapter to calculate: o a. the value of the slope o b. the value of the y-intercept C. Verify that your answers are correct by comparing them to the given regression equation n=19 x (City MPG) y (Highway MPG) 23 Acura NSX 18 Alpha Romeo Spider 22 30 Chevrolet Corvette 17 25 Dodge Viper Ferrari 348TB/Spider 14 22 13 18 Honda Civic Del Sol 29 36 Honda Civic Del Sol 35 41 Honda Civic Del Sol 26 33 Honda Civic Del Sol 29 35 21 Jaguar XJS Convertible Lotus Esprit Turbo 14 17 27 Mazda MX-5 Miata 23 28 Mazda MX-5 Miata 22 27 Mazda RX-7 18 24 Mercedes Benz SL320 17 24 Nissan 300ZX 18 23 Porsche 911 Carrera 16 23 Porsche 968 16 25 27 Toyota MR2 SUMS: 20 384 512 26.94737 Sample Mean Sample Standard Deviation 5.921514 20.21053 5.787666 y = 0.9478x + 7.7919 Miles per Gallon R= 0.9697 45 40 35 30 25 20 15 10 5 15 20 25 30 35 40 10 City…
For the relationship between Calories and Carbs, here is the equation of the line of best fit: Regression Equation: Calories = 2.36 + 4.432 Carbs What would you predict for the number of Calories if a cereal had 28 Carbs?
The following estimated regression equation relating sales to inventory investment and advertising expenditures was given. ý = 28 + 15x, + 8x2 The data used to develop the model came from a survey of 10 stores; for those data, SST = 17,000 and SSR = 13,260. (a) For the estimated regression equation given, compute R2. R2 = 0.78 2 (b) Compute R. (Round your answer to two decimal places.) (c) Does the model appear to explain a large amount of variability in the data? Explain. (For purposes of this exercise, consider an amount large if it is at least 55%. Round your answer to the near The adjusted coefficient of determination shows that 78 % of the variability has been explained by the two independent variables; thus, we conclude that the model does Select- does
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Data from 147 colleges from 1995 to 2005 (Lee,2008) were tested to predict the endowments (in billions) to a college from the average SAT score of students attending the college. The resulting regression equation was Y = -20.46 + 4.06 (X). This regression indicates that: a. for every one-point increase in SAT scores, a college can expect 4.06 billion more in endowments. b. most colleges have very high endowments. c. for every one-point increase in SAT scores, a college can expect 20.46 billion fewer in endowments. d. for every one-dollar increase in endowments, the college can expect a half-point increase in SAT scores.
Consider the following regression equation: y = -3.9 + 7.2x What does 7.2 depict in the regression equation above? a) The direction of the line. b) The y-intercept. c) The point where x = 0. d) The y when x = 7.2.
Using the weights (Ib) and highway fuel consumption amounts (mi/gal) of the 48 cars listed in the accompanying data set, one gets this regression equation: y = 58 9-0.00749x, where x represents weight Complete parts (a) through (d). Click the icon to view the car data. 東 b. What are the specific values of the slope and y-intercept of the regression line? O A. The slope is 58.9 and the y-intercept is 0.007499. B. The slope is -0.00749 and the y-intercept is 58.9. O C. The slope is 58.9 and the y-intercept is -0.00749. O D. The slope is 0.00749 and the y-intercept is 58.9. c. What is the predictor variable? O A. The predictor variable is highway fuel consumption, which is represented by x. B. The predictor variable is weight, which is represented by x. O C. The predictor variable is weight, which is represented by y O D. The predictor variable is highway fuel consumption, which is represented by y. d. Assuming that there is a significant linear correlation between weight and highway fuel…
Hazel has four very short children and wants to predict how tall the kids will be in the future, as they get older she measures their height and finds: Rufus, age 3, 46 cm in height Angus, age 4, 52 cm in height matilda, age 6, 63 cm in height Lao age 8, 85 cm in height Round to the nearest integers, what is the regression equation computed from the data
The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is y= - 0.558x + 216.186. Use the data to answer the following questions. (a) Find the coefficient of determination, r, and interpret the result. (b) Find the standard error of the estimate, s,, and interpret the result. Goals Allowed, x Points, y 218 212 216 220 257 266 274 200 211 206 216 204 264 244 O 111 106 99 90 86 83 45 105 100 101 94 83 67 68 (a) ? =O (Round to three decimal places as needed.)

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