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 = 28 + 14x, + 7x2 The data used to develop the model came from a survey of 10 stores; for those data, SST = 18,000 and SSR = 13,860. (a) For the estimated regression equation given, compute R2. R2 = 2 (b) Compute R,. (Round your answer to two decimal places.) R (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--- explain a large amount of variability. Submit Answer
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 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
Mary used a sample of 68 large U.S. cities to estimate the relationship between Crime (annual property crimes per 100,000 persons) and Income (median annual income per capita, in dollars). Her estimated regression equation was Crime = 428 + 0.050 Income. If Income decreases by 500, we would expect that Crime will Group of answer choices remain unchanged. decrease by 25. increase by 500. decrease by 50.
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
In simple linear regression, the coefficient of determination measures: a.The amount of variability of the y variable that is explained by the x variable b.The amount of variability of the x variable that is explained by the y variable c.The amount of variability between the treatments d.The amount of variability within the treatments
The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles. If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles. An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds: Y = $50 + .030X with a r2 of .90 What is the IV? What is the DV? If the mileage increases by one mile, what is the predicted increase in maintenance costs? If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs? What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?
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.)
The following data show the brand, price , and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from (lowest) to (highest). The estimated regression equation for these data is , where and .

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