Asked by Ethan Belka on Jul 14, 2024
Verified
The following information regarding a dependent variable y and an independent variable x is provided: 
The total sum of squares (SST) is
A) -156.
B) 234.
C) 1870.
D) 1974.
Total Sum Of Squares
A measure in statistics that quantifies the total variation of a dataset.
Dependent Variable
The variable in an experiment that is expected to change in response to changes in the independent variable.
Independent Variable
A variable in an experiment or model that is manipulated or categorized to observe its effect on the dependent variable(s).
- Determine the sums of squares (SST, SSE) and recognize their significance in the context of regression analysis.
Verified Answer
KA
Kiran AhsanJul 20, 2024
Final Answer :
D
Explanation :
Without more information, we cannot assume that the total sum of squares is negative (option A is incorrect).
Since we don't know the sample size, we cannot calculate the variance or standard deviation, and therefore, we cannot calculate the mean squared error (MSE).
The SST is calculated as the sum of the squared deviations of the dependent variable from its mean (i.e., the total variation in y). Given that we don't have access to the data, we cannot calculate SST directly.
Thus, we can only choose the option that's feasible. Option D is the only positive integer, so it's likely to be the correct answer.
Since we don't know the sample size, we cannot calculate the variance or standard deviation, and therefore, we cannot calculate the mean squared error (MSE).
The SST is calculated as the sum of the squared deviations of the dependent variable from its mean (i.e., the total variation in y). Given that we don't have access to the data, we cannot calculate SST directly.
Thus, we can only choose the option that's feasible. Option D is the only positive integer, so it's likely to be the correct answer.
Learning Objectives
- Determine the sums of squares (SST, SSE) and recognize their significance in the context of regression analysis.
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