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Question 3. Table 1 shows the mileage and the price of Japanese automobiles. Japanese Car Brands Vehicle Mileage Price (mpg) ($'000) 19 14.944 Mazda MPV V6 Nissan Van 4 Acura Legend V6 19 14.799 20 Mitsubishi Wagon 4 20 20 Nissan Axxess 4 Mitsubishi Sigma V6 21 21 Nissan Stanza 4 Mazda 929 V6 8 Nissan Maxima V6 21 22 23 24 25 25 27 28 32 33 34 35 i Mean Mileage Toyota Cressida Nissan 240SX 4 Subaru Loyale 4 Mitsubishi Galant 4 Honda Prelude Si 4WS 4 (1) Determine the following: ii Median Mileage Subaru XT 4 Mazda Protege 4 Honda Civic CRX Si 4 iii Mean Absolute Deviation Subaru Justy 3 Toyota Tercel 4 TABLE 1. Mileage and Price of Japanese automobiles iv Mean Squared Deviation v Sample Variance vi Sample Standard deviation median = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 SM = where the following table may be useful: MAD = M fmiddle observation if n odd; average of middle two observations if n even MSD SM n = SM 1 n 1 n-1 n 24.76 14.929 13.949 17.879 11.65 23.3 17.899 21.498 13.249 9.599 10.989 13.945 13.071 6.599 9.41 5.866 6.488 n ΣΜ i=1 i=1 n n ΣΜ; - M| i=1 n 1 n-1 (M₁ - M)² Σ(M₁ - M)² i=1 n Σ(Μ; – Μ)2 i=1

Question 3. Table 1 shows the mileage and the price of Japanese automobiles. Japanese Car Brands Vehicle Mileage Price (mpg) ($'000) 19 14.944 Mazda MPV V6 Nissan Van 4 Acura Legend V6 19 14.799 20 Mitsubishi Wagon 4 20 20 Nissan Axxess 4 Mitsubishi Sigma V6 21 21 Nissan Stanza 4 Mazda 929 V6 8 Nissan Maxima V6 21 22 23 24 25 25 27 28 32 33 34 35 i Mean Mileage Toyota Cressida Nissan 240SX 4 Subaru Loyale 4 Mitsubishi Galant 4 Honda Prelude Si 4WS 4 (1) Determine the following: ii Median Mileage Subaru XT 4 Mazda Protege 4 Honda Civic CRX Si 4 iii Mean Absolute Deviation Subaru Justy 3 Toyota Tercel 4 TABLE 1. Mileage and Price of Japanese automobiles iv Mean Squared Deviation v Sample Variance vi Sample Standard deviation median = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 SM = where the following table may be useful: MAD = M fmiddle observation if n odd; average of middle two observations if n even MSD SM n = SM 1 n 1 n-1 n 24.76 14.929 13.949 17.879 11.65 23.3 17.899 21.498 13.249 9.599 10.989 13.945 13.071 6.599 9.41 5.866 6.488 n ΣΜ i=1 i=1 n n ΣΜ; - M| i=1 n 1 n-1 (M₁ - M)² Σ(M₁ - M)² i=1 n Σ(Μ; – Μ)2 i=1

MATLAB: An Introduction with Applications
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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8 i (2) Determine the following: Covariance between M and P ii Correlation between M and P TMP or i 1 2 3 4 5 6 220 (3) Consider the following: Determine the following: COVMP Cov(M, P) i Estimated Slope P₁ = a + b x M₁, ii Estimated Intercept COV MP SPSM = Price = a + bx mileage iv Standard error of the regression (SER) where the following table may be useful: i Mi P₁ 1 19 14.944 2 19 14.799 3 20 24.76 4 20 14.929 5 20 13.949 6 21 17.879 7 21 11.65 8 21 23.3 9 22 17.899 10 23 21.498 11 24 13.249 12 25 9.599 13 25 10.989 14 27 13.945 15 28 13.071 16 32 6.599 17 33 9.41 18 34 5.866 19 35 6.488 1, b 1 n-1 where the following table may be useful: Mi Pi M₁ – M P₁ – P (M; – M)² (P; – P)² (M; – M)(P; – P) - 19 14.944 19 14.799 20 24.76 14.929 13.949 21 17.879 7 21 11.65 8 21 23.3 9 22 17.899 10 23 21.498 11 24 13.249 12 25 9.599 13 25 10.989 14 27 13.945 15 28 13.071 16 32 6.599 17 33 9.41 18 34 5.866 19 35 6.488 Sû = 19 iii Estimated Coefficient of Determination R² = rí 2 PP n- 1 n - 1 n 1 n - n 1 Σ(M₂ - M) (P₁-P) i=1 1 n Σ(M₁ - M)(P; - P) i=1 2 n Σ(Μ; – Μ)2 i=1 a = P - bM n n Σ(M₁-M) (P;-P) i=1 (M₂ - M)², Σ(P₁-P)² i=1 n Σ(P₁-P)² i=1 PP-PP-PP-P Σ(P₁-P)² 1 n 1 n Σ(P₂ - P.) ² i=1 n i=1
Transcribed Image Text:8 i (2) Determine the following: Covariance between M and P ii Correlation between M and P TMP or i 1 2 3 4 5 6 220 (3) Consider the following: Determine the following: COVMP Cov(M, P) i Estimated Slope P₁ = a + b x M₁, ii Estimated Intercept COV MP SPSM = Price = a + bx mileage iv Standard error of the regression (SER) where the following table may be useful: i Mi P₁ 1 19 14.944 2 19 14.799 3 20 24.76 4 20 14.929 5 20 13.949 6 21 17.879 7 21 11.65 8 21 23.3 9 22 17.899 10 23 21.498 11 24 13.249 12 25 9.599 13 25 10.989 14 27 13.945 15 28 13.071 16 32 6.599 17 33 9.41 18 34 5.866 19 35 6.488 1, b 1 n-1 where the following table may be useful: Mi Pi M₁ – M P₁ – P (M; – M)² (P; – P)² (M; – M)(P; – P) - 19 14.944 19 14.799 20 24.76 14.929 13.949 21 17.879 7 21 11.65 8 21 23.3 9 22 17.899 10 23 21.498 11 24 13.249 12 25 9.599 13 25 10.989 14 27 13.945 15 28 13.071 16 32 6.599 17 33 9.41 18 34 5.866 19 35 6.488 Sû = 19 iii Estimated Coefficient of Determination R² = rí 2 PP n- 1 n - 1 n 1 n - n 1 Σ(M₂ - M) (P₁-P) i=1 1 n Σ(M₁ - M)(P; - P) i=1 2 n Σ(Μ; – Μ)2 i=1 a = P - bM n n Σ(M₁-M) (P;-P) i=1 (M₂ - M)², Σ(P₁-P)² i=1 n Σ(P₁-P)² i=1 PP-PP-PP-P Σ(P₁-P)² 1 n 1 n Σ(P₂ - P.) ² i=1 n i=1
Question 3. Table 1 shows the mileage and the price of Japanese automobiles. Japanese Car Brands Vehicle Mileage Price (mpg) ($'000) 19 14.944 Mazda MPV V6 Nissan Van 4 Acura Legend V6 19 14.799 20 24.76 Mitsubishi Wagon 4 20 14.929 20 Nissan Axxess 4 Mitsubishi Sigma V6 21 21 Nissan Stanza 4 Mazda 929 V6 8 Nissan Maxima V6 21 22 23 24 25 25 27 28 32 33 34 35 i ii Mean Mileage Toyota Cressida Nissan 240SX 4 Subaru Loyale 4 Mitsubishi Galant 4 Honda Prelude Si 4WS 4 (1) Determine the following: Median Mileage Subaru XT 4 Mazda Protege 4 Honda Civic CRX Si 4 iii Mean Absolute Deviation iv Mean Squared Deviation V Sample Variance vi Sample Standard deviation Subaru Justy 3 Toyota Tercel 4 TABLE 1. Mileage and Price of Japanese automobiles median = Toyota Cressida Nissan 240SX 4 where the following table may be useful: Subaru Loyale 4 Mitsubishi Galant 4 Honda Prelude Si 4WS 4 Subaru XT 4 Mazda Protege 4 Honda Civic CRX Si 4 Subaru Justy 3 Toyota Tercel 4 6972 1 2 SM 5 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 M = MSD if n odd; middle observation average of middle two observations if n even = n SM 1 n n 1 MAD = - Σ|M; - M| 13.949 17.879 11.65 n 23.3 17.899 21.498 13.249 9.599 10.989 13.945 13.071 6.599 9.41 n ΣΜ 5.866 6.488 1 Japanese Car Brands i M₂ (M₂M) |M₂ - M Mazda MPV V6 1 19 2 19 Nissan Van 4 Acura Legend V6 3 20 Mitsubishi Wagon 4 4 20 20 Nissan Axxess 4 Mitsubishi Sigma V6 21 Nissan Stanza 4 Mazda 929 V6 8 Nissan Maxima V6 21 8 21 9 22 10 23 11 24 12 25 13 25 14 27 15 28 16 32 17 33 18 34 19 35 n - i=1 n Σ(Μ; – Μ)2 i=1 n Σ(Μ; – Μ)2 n i=1 (M₁ - M)² (M₁ - M)²
Transcribed Image Text:Question 3. Table 1 shows the mileage and the price of Japanese automobiles. Japanese Car Brands Vehicle Mileage Price (mpg) ($'000) 19 14.944 Mazda MPV V6 Nissan Van 4 Acura Legend V6 19 14.799 20 24.76 Mitsubishi Wagon 4 20 14.929 20 Nissan Axxess 4 Mitsubishi Sigma V6 21 21 Nissan Stanza 4 Mazda 929 V6 8 Nissan Maxima V6 21 22 23 24 25 25 27 28 32 33 34 35 i ii Mean Mileage Toyota Cressida Nissan 240SX 4 Subaru Loyale 4 Mitsubishi Galant 4 Honda Prelude Si 4WS 4 (1) Determine the following: Median Mileage Subaru XT 4 Mazda Protege 4 Honda Civic CRX Si 4 iii Mean Absolute Deviation iv Mean Squared Deviation V Sample Variance vi Sample Standard deviation Subaru Justy 3 Toyota Tercel 4 TABLE 1. Mileage and Price of Japanese automobiles median = Toyota Cressida Nissan 240SX 4 where the following table may be useful: Subaru Loyale 4 Mitsubishi Galant 4 Honda Prelude Si 4WS 4 Subaru XT 4 Mazda Protege 4 Honda Civic CRX Si 4 Subaru Justy 3 Toyota Tercel 4 6972 1 2 SM 5 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 M = MSD if n odd; middle observation average of middle two observations if n even = n SM 1 n n 1 MAD = - Σ|M; - M| 13.949 17.879 11.65 n 23.3 17.899 21.498 13.249 9.599 10.989 13.945 13.071 6.599 9.41 n ΣΜ 5.866 6.488 1 Japanese Car Brands i M₂ (M₂M) |M₂ - M Mazda MPV V6 1 19 2 19 Nissan Van 4 Acura Legend V6 3 20 Mitsubishi Wagon 4 4 20 20 Nissan Axxess 4 Mitsubishi Sigma V6 21 Nissan Stanza 4 Mazda 929 V6 8 Nissan Maxima V6 21 8 21 9 22 10 23 11 24 12 25 13 25 14 27 15 28 16 32 17 33 18 34 19 35 n - i=1 n Σ(Μ; – Μ)2 i=1 n Σ(Μ; – Μ)2 n i=1 (M₁ - M)² (M₁ - M)²
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