In a simple linear regression you are told that the estimate of the slope coefficient was 0.9 and that the "t-statistic" for testing whether the slope parameter was unity or not was -3.6. What is the estimated standard error for the estimated slope coefficient?

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To find the estimated standard error for the estimated slope coefficient in a simple linear regression, you will need two pieces of information: the t-statistic and the number of degrees of freedom.

1. The t-statistic: In this case, you are given that the t-statistic for testing whether the slope parameter was unity or not is -3.6.

2. Degrees of freedom: In simple linear regression, the degrees of freedom is equal to the number of observations minus 2. Unfortunately, this information is not provided in your question, so I cannot provide an exact value. However, if you know the number of observations, you can calculate the degrees of freedom by subtracting 2 from that number.

Once you have the t-statistic and the degrees of freedom, you can calculate the estimated standard error for the estimated slope coefficient using the following formula:

Standard error = (absolute value of t-statistic) / sqrt(degrees of freedom)

Therefore, to find the estimated standard error, you need to:

1. Take the absolute value of -3.6: | -3.6 | = 3.6
2. Find the square root of the degrees of freedom.
3. Divide 3.6 by the square root of the degrees of freedom to get the estimated standard error.