1.2. Question 1 (q.2.1, page 75) - Theory Consider the following table based on a data set that has the sample size of 5 observations. - Ꮖ Image y Image 2 Image xy Image x- T Image (x)2 Image y - ỹ Image (x − ˜) (y — ÿ) ► Image - - 0 6 0 -2 (-2)² = 4 3.6 3.62-7.2 1 2 1 2 -1 (−1)² = 1 -0.4 -1 -0.4 0.4 2 3 4 6 0 0² = 0 0.6 3 1 9 3 1 (1)² = 1 -1.4 4 0 16 0 2 (2)² = 4 -2.4 0.0.60 1.-1.4-1.4 22.44.8 Στι ΣYi Σα ΣYixi Σ(xi) Image Σ(α; - π)2 Σ(y: - 3) - Σ(xi — x) (Yi — ÿ) 10 12 30 11 10 0 -13 (a) Using the values above, calculate the estimates for the intercept 61 and slope 62. (b) Using the numerical values above, show that Σ(x − x)² = - x² – Nò and Σ(xi - x) (yi – y) = Σ x iyi - Nx + y XiYi
1.2. Question 1 (q.2.1, page 75) - Theory Consider the following table based on a data set that has the sample size of 5 observations. - Ꮖ Image y Image 2 Image xy Image x- T Image (x)2 Image y - ỹ Image (x − ˜) (y — ÿ) ► Image - - 0 6 0 -2 (-2)² = 4 3.6 3.62-7.2 1 2 1 2 -1 (−1)² = 1 -0.4 -1 -0.4 0.4 2 3 4 6 0 0² = 0 0.6 3 1 9 3 1 (1)² = 1 -1.4 4 0 16 0 2 (2)² = 4 -2.4 0.0.60 1.-1.4-1.4 22.44.8 Στι ΣYi Σα ΣYixi Σ(xi) Image Σ(α; - π)2 Σ(y: - 3) - Σ(xi — x) (Yi — ÿ) 10 12 30 11 10 0 -13 (a) Using the values above, calculate the estimates for the intercept 61 and slope 62. (b) Using the numerical values above, show that Σ(x − x)² = - x² – Nò and Σ(xi - x) (yi – y) = Σ x iyi - Nx + y XiYi
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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