Question:1) Using test data on 20 types of laundry detergent, an analyst fitted a regression to predict CostPerLoad (average cost per load in cents per load) using binary predictors TopLoad (1 if washer is a top-loading model, 0 otherwise) and Powder (if detergent was in powder form, 0 otherwise). Interpret the results. Give 10 points.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question:1) Using test data on 20 types of laundry detergent, an analyst fitted a regression
to predict Cost PerLoad (average cost per load in cents per load) using binary predictors
TopLoad (1 if washer is a top-loading model, 0 otherwise) and Powder (if detergent was in
powder form, 0 otherwise). Interpret the results. Give 10 points.
R²
Adjusted R²
R
Std. Error
ANOVA table
Source
Regression
Residual
Total
Regression output
variables
Intercept
Top-Load
Powder
0.117
0.006
0.341
5.915
coefficients
26.0000
-6.3000
-0.2714
SS
73.8699
559.8143
633.6842 18
n 19
k 2
Dep. Var. Cost Per Load
df MS
2 36.9350
16 34.9884
std. error t (df = 16)
4.1826
6.216
4.5818
-1.375
2.9150
-0.093
p-value
1.23E-05
.1881
.9270
F
1.06
confidence interval
95% lower
p-value
.3710
17.1333
-16.0130
-6.4509
95% upper
34.8667
3.4130
5.9081
Transcribed Image Text:Question:1) Using test data on 20 types of laundry detergent, an analyst fitted a regression to predict Cost PerLoad (average cost per load in cents per load) using binary predictors TopLoad (1 if washer is a top-loading model, 0 otherwise) and Powder (if detergent was in powder form, 0 otherwise). Interpret the results. Give 10 points. R² Adjusted R² R Std. Error ANOVA table Source Regression Residual Total Regression output variables Intercept Top-Load Powder 0.117 0.006 0.341 5.915 coefficients 26.0000 -6.3000 -0.2714 SS 73.8699 559.8143 633.6842 18 n 19 k 2 Dep. Var. Cost Per Load df MS 2 36.9350 16 34.9884 std. error t (df = 16) 4.1826 6.216 4.5818 -1.375 2.9150 -0.093 p-value 1.23E-05 .1881 .9270 F 1.06 confidence interval 95% lower p-value .3710 17.1333 -16.0130 -6.4509 95% upper 34.8667 3.4130 5.9081
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