Question

3) Mrs. Ruby is a researcher, she conducts research on the decay of the quality of bananas. She proposed 4 models: M:y= -2.5x + 15 M2: y= 1.5x + 15 M3 : y = -2x + 13 M4: y = -2.0x + 15 In these models, y indicates a quality factor (or decay factor) which is dependent on I number of days. The value of y varies between 0 and 15, where the value 15 denotes that the fruit has no decay and y=0 means it is completely decayed. While formulating a model she has to make sure that on the 0th day the banana has no decay. The quality factor (or decay factor) y values on xth day are shown in the table below. x=4;y=6
x=5;y=5
x=6;y=4
x=7;y=1
What is the SSE value of the best fit model till two decimal places?​

Answer 1

Answer:

The answer is 2 (Model 4).

Step-by-step explanation:

Step 1:

First we have to compute values of y according to each model.

In image 1 attached, values of y according to each model are demonstrated.

Step 2:

In second step, we have to compute the errors for each value of y for each model.

Error = $y_{actual} - y_{model}$

In image 2 attached, the errors for each model is demonstrated.

Step 3:

Now we can compute SSE for each model.

SSE = ∑$(error)^{2}$

$SSE_1 = 35.5\\SSE_2 = 1531.5\\SSE_3 = 18\\SSE_4 = 2$

Step 4:

Since SSE of model 4 is least, hence model 4 is the best fit model.

SSE = 2

#SPJ3