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Fit a parabola and a least squares straight line to the following data set and calculate what is required X Y 23 77 26 57 29 46 32 30 35 18 38 14 41 12 44 17 47 15 50 18 53 27 26 48 379 X² X¹ X¹ Y² XY X-Y Parable Yeal Line Y cal

Fit a parabola and a least squares straight line to the following data set and calculate what is required X Y 23 77 26 57 29 46 32 30 35 18 38 14 41 12 44 17 47 15 50 18 53 27 26 48 379 X² X¹ X¹ Y² XY X-Y Parable Yeal Line Y cal

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 16E
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GRAPH FOR OBSERVED DATA 75 65 55 45 35 25 15 GRAPH FOR OBSERVED DATA 65 55 45 25 15 5 GRAPH FOR OBSERVED DATA LINE 44 40 36 32 28 24 PARABLE 20
Transcribed Image Text:GRAPH FOR OBSERVED DATA 75 65 55 45 35 25 15 GRAPH FOR OBSERVED DATA 65 55 45 25 15 5 GRAPH FOR OBSERVED DATA LINE 44 40 36 32 28 24 PARABLE 20
Fit a parabola and a least squares straight line to the following data set and calculate what is required X Y 23 77 26 57 29 46 32 30 35 18 38 14 41 12 44 47 50 53 26 17 15 18 27 48 379 TOTAL (Y-ỹ) X² X¹ PARABLE VAR. EXPLICAD (Yest - y)² X¹ VAR. NO EXPLI. (Y-Y)² Y² XY LINE VAR. EXPLICAD (Yest- y)² X¹Y VAR. NO EXPLI. (Y-Yest)² Parable Y cal Line Y cal OBTAINING THE PARABLE OBTAINING THE EQUATION OF THE STRAIGHT LINE ESTIMATE THE VALUE OF Y WHEN X=45.7 (Parabola) y (Line) ESTIMATE THE VALUE OF X WHEN Y=20 (Parabola) and (Line) FIND THE LINEAR AND NONLINEAR COEFFICIENTS OF CORRELATION REGARDING THE RESULT OF THE LINEAR COEFFICIENT, EXPLAIN WHY IT IS POSITIVE OR NEGATIVE EXPLAIN THE DIFFERENCE BETWEEN THE COEFFICIENTS OBTAINED CALCULATE THE STANDARD ERROR OF THE ESTIMATE OF Y OVER X
Transcribed Image Text:Fit a parabola and a least squares straight line to the following data set and calculate what is required X Y 23 77 26 57 29 46 32 30 35 18 38 14 41 12 44 47 50 53 26 17 15 18 27 48 379 TOTAL (Y-ỹ) X² X¹ PARABLE VAR. EXPLICAD (Yest - y)² X¹ VAR. NO EXPLI. (Y-Y)² Y² XY LINE VAR. EXPLICAD (Yest- y)² X¹Y VAR. NO EXPLI. (Y-Yest)² Parable Y cal Line Y cal OBTAINING THE PARABLE OBTAINING THE EQUATION OF THE STRAIGHT LINE ESTIMATE THE VALUE OF Y WHEN X=45.7 (Parabola) y (Line) ESTIMATE THE VALUE OF X WHEN Y=20 (Parabola) and (Line) FIND THE LINEAR AND NONLINEAR COEFFICIENTS OF CORRELATION REGARDING THE RESULT OF THE LINEAR COEFFICIENT, EXPLAIN WHY IT IS POSITIVE OR NEGATIVE EXPLAIN THE DIFFERENCE BETWEEN THE COEFFICIENTS OBTAINED CALCULATE THE STANDARD ERROR OF THE ESTIMATE OF Y OVER X
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