The estimated regression equation is = 7.6 .9x. what is the value of the standard error of the estimate (to 4 decimals)?
1 answer:
The estimate's standard error is 6.5141.
The standard error of the estimate is given by:
σest=√{∑(Y−?)/2n−k}
Calculation of ^Y is obtained by putting the values of x in the following equation:
^Y=7.6+0.9x
Thus,
σest=√∑{/N}
=√{127.3/3}
=6.5141
<h3>What is meant by standard error?</h3>The probability that the population means and sample mean will differ from one another is shown by the standard error of the mean, often known as the standard error. If a study were repeated using fresh samples collected from a single population, it would be able to calculate how much the sample mean would differ.
<h3>How do standard deviation and standard error compare?</h3>Standard error describes variability over numerous samples of a population, while standard deviation describes variability within a single sample. The standard error is an inferential statistic that can only be approximated, whereas the standard deviation is a descriptive statistic that can be computed from sample data.
Learn more about standard error: brainly.com/question/13179711
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The correct question is:
x_i 2 6 9 13 20
y_i 7 18 9 26 23
The estimate regression equation is y = 7.6 + .9x.
a. What is the value of the standard error of the estimate (to 4 decimals}?
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