Question

Based on the below data what will be the value of standard error?
MSE=3.33

Answer 1

The standard error (SE) is commonly calculated from the root mean square error (RMSE), which is derived from the mean squared error (MSE). The relationship between the MSE and RMSE is given by:

\[
\text{RMSE} = \sqrt{\text{MSE}}
\]

To calculate the standard error from the MSE, you can use the following formula:

\[
\text{SE} = \frac{\text{RMSE}}{\sqrt{n}}
\]

where \( n \) is the sample size.

From the MSE you provided:

\[
\text{MSE} = 3.33
\]

First, calculate the RMSE:

\[
\text{RMSE} = \sqrt{3.33} \approx 1.8257
\]

To find the standard error, you would need the sample size \( n \). If you have that information, you can plug it into the formula:

\[
\text{SE} = \frac{1.8257}{\sqrt{n}}
\]

Without knowing the value of \( n \), we cannot provide a specific value for the standard error. Please provide the sample size to proceed.