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StatisticsQ&A LibraryStandard Error of Estimate A random sample of 118 different female statistics students is obtained and their weights are measured in kilograms and in pounds. Using the 118 paired weights (weight in kg, weight in lb), what is the value of se? For a female statistics student who weighs 100 lb, the predicted weight in kilograms is 45.4 kg. What is the 95% prediction interval?Question

Asked Jan 16, 2020

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Standard Error of Estimate A random sample of 118 different female statistics students is obtained and their weights are measured in kilograms and in pounds. Using the 118 paired weights (weight in kg, weight in lb), what is the value of se? For a female statistics student who weighs 100 lb, the predicted weight in kilograms is 45.4 kg. What is the 95% prediction interval?

Step 1

The data show the statistics of 118 different female students paired weights (weight in kg, weight in lb). Also, the predicted value for weight in kilograms with weighs 100 lb is 45.4 kg.

The value of *S _{e}* is the measure of variation of the sample points about the regression line.

That is, the *S _{e} *is the measure of the differences between the observed weights and the predicted weights from the regression equation.

Step 2

Here, the weights in lb are converted in to kg. That is, *Se* has the exact formula. Thus, the value of *Se *for paired weights becomes zero.

The predicted value for weight in kilogr...

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