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%
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%
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3CYU
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%
![BrandLiking
= 37.65 + 4.425 Moisture + 4.375 Sweetness
Coefficients
Term
Coef SE Coef 95% CI
Constant
37.65
3.00 (31.18, 44.12)
Moisture 4.425 0.301 (3.774, 5.076)
Sweetness 4.375
0.673 (2.920, 5.830)
Model Summary
S R-sq R-sq(adj)
2.69330 95.21%
T-Value P-Value
12.57
0.000
14.70
0.000
1.00
6.50
0.000 1.00
94.47% 148.378
VIF
PRESS R-sq(pred) AICC BIC
92.46% 85.42 84.88](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ac51ba5-4a60-4ea6-99e1-deb4727e33fc%2Fc49eddd7-a1b4-4812-94cd-65849407da2d%2Fw1ja9bw_processed.png&w=3840&q=75)
Transcribed Image Text:BrandLiking
= 37.65 + 4.425 Moisture + 4.375 Sweetness
Coefficients
Term
Coef SE Coef 95% CI
Constant
37.65
3.00 (31.18, 44.12)
Moisture 4.425 0.301 (3.774, 5.076)
Sweetness 4.375
0.673 (2.920, 5.830)
Model Summary
S R-sq R-sq(adj)
2.69330 95.21%
T-Value P-Value
12.57
0.000
14.70
0.000
1.00
6.50
0.000 1.00
94.47% 148.378
VIF
PRESS R-sq(pred) AICC BIC
92.46% 85.42 84.88
![BrandLiking = 50.78 + 4.425 Moisture
Coefficients
Term
Coef SE Coef 95% CI
4.39 (41.35, 60.20)
Constant 50.78
Moisture 4.425 0.598 (3.142, 5.708)
Model Summary
T-Value P-Value VIF
11.55
0.000
7.40
0.000 1.00
S R-sq R-sq(adj) PRESS R-sq(pred)
5.34890 79.64% 78.18% 536.698
AICC
BIC
72.71% 104.93 105.25](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ac51ba5-4a60-4ea6-99e1-deb4727e33fc%2Fc49eddd7-a1b4-4812-94cd-65849407da2d%2F4tqm3gp_processed.png&w=3840&q=75)
Transcribed Image Text:BrandLiking = 50.78 + 4.425 Moisture
Coefficients
Term
Coef SE Coef 95% CI
4.39 (41.35, 60.20)
Constant 50.78
Moisture 4.425 0.598 (3.142, 5.708)
Model Summary
T-Value P-Value VIF
11.55
0.000
7.40
0.000 1.00
S R-sq R-sq(adj) PRESS R-sq(pred)
5.34890 79.64% 78.18% 536.698
AICC
BIC
72.71% 104.93 105.25
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