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math_28
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Utree
May 08, 2019
Education
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math_28
Utree
May 08, 2019
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Transcript
28 ౷ܭֶͰͷੵͷ͍ํ ౷ܭֶ͕࠷ڧͷֶͰ͋Δɹֶฤ
લճͷτϐοΫ γάϚͷΘΓʹϕΫτϧΛͬͯɺγϯϓϧͳදه͕Ͱ͖Δ
ࠓճͷτϐοΫ • ૬ؔ • ྫ1 • ૬ؔΛίαΠϯͰද͢
૬ؔ ૬ؔ = ∑n i=1 (xi − x)(yi − y)
∑n i=1 (xi − x)2 ∑n i=1 (yi − y)2 มYZʹ͍ͭͯɺͲͷఔؔ࿈ੑ͕ڧͦ͏͔
૬ؔ ૬ؔ = ∑n i=1 (xi − x)(yi − y)
∑n i=1 (xi − x)2 ∑n i=1 (yi − y)2 o y x ฏۉ ৭ͷκʔϯʹͲΕ͚͕ͩू·͍ͬͯΔ͔ʁ ૬ؔΛ-1ʙ1ʹ͢Δ
ྫ1 ຬͱߪങճͷ૬ؔΛٻΊΔ ૬ؔ = 0.5
૬ؔίαΠϯͰද͢ ૬ؔ = ∑n i=1 (xi − x)(yi − y)
∑n i=1 (xi − x)2 ∑n i=1 (yi − y)2 ɹɹɹɹ = p ⋅ q ∥p∥∥q∥ ɹɹɹɹ = ∥p∥∥q∥ cos θ ∥p∥∥q∥ ɹɹɹɹ = cos θ p = (x1 − x, x2 − x, ⋯, xn − x) q = (y1 − y, y2 − y, ⋯, yn − y) p ⋅ q = n ∑ i=1 (xi − x)(yi − y) ∥p∥ = n ∑ i=1 (xi − x)2 ʹ͓͍ͯ ΑΓ
·ͱΊ ૬ؔDPTВͰද͢͜ͱ͕Ͱ͖Δ
͓·͚ • ίαΠϯڑ sin 45 ≒ 0.71 • ૬ؔ0.7Ҏ্͕ڧ͍૬ؔͱݴΘΕΔཧ༝