Fit these three regression models and then discuss the similarities and differences between them, particularly as relates to slope estimates (use CI’s) and R2. Also address why this is a “special case” and we wouldn’t necessarily expect to see these model characteristics for a typical dataset.a) Additive model including both predictors (output attached)b) Model including only Moisture (output attached)c) Model including only SweetnessBrandLiking = 68.62 + 4.38 SweetnessTerm 95% CI P-ValueConstant (50.16, 87.09) 0.000Sweetness (-1.46, 10.21) 0.130S R-sq R-sq(adj)10.8915 15.57% 9.54% BrandLiking= 37.65 + 4.425 Moisture + 4.375 SweetnessCoefficientsTermCoef SE Coef 95% CIConstant37.653.00 (31.18, 44.12)Moisture 4.425 0.301 (3.774, 5.076)Sweetness 4.3750.673 (2.920, 5.830)Model SummaryS R-sq R-sq(adj)2.69330 95.21%T-Value P-Value12.570.00014.700.0001.006.500.000 1.0094.47% 148.378VIFPRESS R-sq(pred) AICC BIC92.46% 85.42 84.88 BrandLiking = 50.78 + 4.425 MoistureCoefficientsTermCoef SE Coef 95% CI4.39 (41.35, 60.20)Constant 50.78Moisture 4.425 0.598 (3.142, 5.708)Model SummaryT-Value P-Value VIF11.550.0007.400.000 1.00S R-sq R-sq(adj) PRESS R-sq(pred)5.34890 79.64% 78.18% 536.698AICCBIC72.71% 104.93 105.25

Given three regression output for Brand liking with respect to independent variables sweetness,…

Answered: Fit these three regression models and…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

Related questions

Question

Fit these three regression models and then discuss the similarities and differences between them, particularly as relates to slope estimates (use CI’s) and R². Also address why this is a “special case” and we wouldn’t necessarily expect to see these model characteristics for a typical dataset.

a) Additive model including both predictors (output attached)

b) Model including only Moisture (output attached)

c) Model including only Sweetness

BrandLiking = 68.62 + 4.38 Sweetness

Term 95% CI P-Value
Constant (50.16, 87.09) 0.000
Sweetness (-1.46, 10.21) 0.130

S R-sq R-sq(adj)
10.8915 15.57% 9.54%