Question

What is the SST for the data set (1, 4), (2, 6), (4, 11)?A. 9B. 16C. 26D. 11

Answer 1

The SST for the data set is:

Option: C

C. 26

Explanation:

SST i.e. Sum -Squared Total, is the Total of Sum of the Squares.

SST is calculated as follows:

1) First calculate the mean of the y-value of the given data.

2) Subtract each y-value from the mean calculated above and take the square of the difference quantity.

3) Add or sum these square quantities to obtain SST.

We proceed as follows:

The y-value are:

4 6 11

The mean of these y-values are:

`Mean=(4+6+11)/(3)\\\\\\Mean=(21)/(3)\\\\\\Mean=7`

Difference of the data set from mean is:

4-7= -3

6-7= -1

11-7=4

Square of these difference quantity is:

(-3)²=9

(-1)²=1

(4)²=16

Sum of these squared quantity i.e. SST is:

SST=9+1+16

SST=26

Hence, the answer is:

Option: C

Answer 2

SST stands for Sum -Squared Total, which is the Total of Sum of the
Squares.

This is the Sum of the Squares of the differences between the data and the mean of the set.

The mean of a data set is the sum of the values of each data divided by the number of data.

We have three data whose values are 4, 6 and 11.

Then, the mean of this data set is: [4 + 6 + 11] / 3 = 21/3 = 7

The squared differences are:

First data: (4 - 7)^2
Second data: (6 - 7)^2
Third data: (11 - 7)^2

Then the SST is = (4 - 7)^2 + (6 - 7)^2 + (11 - 7)^2 = 9 + 1 + 16 = 26

Then, the answer is option C. 26