Mrs. Ruby is a researcher, she conducts research on the decay of the quality of bananas. She proposed 4 models: M1:y=−1.5x+15M1:y=−1.5x+15 M2:y=1.5x+15M2:y=1.5x+15 M3:y=−2x+13M3:y=−2x+13 M4:y=−0.5x+15M4:y=−0.5x+15 In these models, yy indicates a quality factor (or decay factor) which is dependent on xx number of days. The value of yy varies between 0 and 15, where the value 15 denotes that the fruit has no decay and y=0y=0 means it is completely decayed. While formulating a model she has to make sure that on the 0th0th day the banana has no decay. The quality factor (or decay factor) yy values on xthxth day are shown in the table below. xx yy 4 6 5 4 6 3 7 1 What is the SSE value of the best fit model till two decimal places?
Answers
Given:
x y
4 8
5 5
6 4
7 2
predicted models
y = -2x+15
y = 1.5x+15
y = -2x+13
y = - x+15
To Find: SSE value of the best fit model till two decimal places
Solution:
x y y = -2x+15 | d | d² =SSE
4 8 7 1 1
5 5 5 0 0
6 4 3 1 1
7 2 1 1 1
3
x y y = 1.5x+15 | d | d² =SSE
4 8 21 13 169
5 5 22.5 17.5 306.25
6 4 24 20 400
7 2 25.5 23.5 552.25
1427.5
x y y = -2x+13 | d | d² =SSE
4 8 5 3 9
5 5 3 2 4
6 4 1 3 9
7 2 -1 3 9
31
x y y = - x+15 | d | d² =SSE
4 8 11 3 9
5 5 10 5 25
6 4 9 5 25
7 2 8 6 36
95
best fit model y = -2x+15 and SSE value is 3
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