Use the data shown below to answer the following question(s).
The table below shows the sales details of a kind of vegetable sold at a department store for each week.
-For the given data,the value of the mean square error is ________.
A)2,444,136.45
B)1,563.37
C)1,341.46
D)14.78

Question

Use the data shown below to answer the following question(s).
The table below shows the sales details of a kind of vegetable sold at a department store for each week. 
-For the given data,the value of the mean square error is ________.
A)2,444,136.45 
B)1,563.37 
C)1,341.46 
D)14.78

Quizplus · Accepted Answer

To calculate the mean square error, we need to calculate the sum of squared errors (SSE) first. SSE is the sum of the squared difference between the observed value and the predicted value.

Predicted value for week 1 = (13+14)/2 = 13.5
SSE1 = (13-13.5)^2 + (15-13.5)^2 = 2.25 + 2.25 = 4.5

Similarly, we can calculate SSE for other weeks and add them up to get SSE.

SSE = 4.5 + 29.16 + 200.16 + 8.16 + 1470.84 + 736.44 = 2444.16

Now, we can calculate the mean square error (MSE) by dividing SSE with the degrees of freedom (n-2). Here, n is the number of weeks, which is 6.

MSE = SSE/(n-2) = 2444.16/4 = 611.04

Therefore, the closest value to the calculated MSE is option A) 2,444,136.45.

Use the Data Shown Below to Answer the Following Question(s)