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pple Bing Google Yahoo What is The By Beginners? Jobs-- Job posting if You Don't B.Story Verily Smert Financl Apply online Twitter Capricom an Anse QUESTION 27 Which of the following statements is true about prediction intervals and confidence intorvals for Yin simple linear rogression? A prediction interval gives a range of "reasonable velues for the mean value of the confidence interval gives a range of 'reasonable values for an actual (newh value of the Y variable, variable, given a specific choice of the X variable, while a given a specifie choice of the X variable. Olf a 95% predictioninterval contains o, we will be able to royect the hypothesis Hos, Oat the 006 lovel of sigrífic ana A prediction interval gives a range of 'reasonable values for an actual newh value of the Xvariable, given a specific choice of the x confidence interval gives a range of 'reasonable values" for the mean of the Y variable, given a specific choice of the X variable. variable, while a A prediction interval gives a range of reasonable" values for the actual Inewi value of the Yvariable, given a speciífic choice of the X variable. It will,in general, always be narrower than a confidence interval for the mean value of the Y variable because it is easier in general to predict a specific value than to estimate a mean. A 95% prediction interval for Y given a specific value of the X variable in a regression model s calculated using the formula where s is the sample standard deviation, V is the sample mean, and in is the sample size. A confidence interval for the mean value of Y replaces the value of '2" with 1.96. QUESTION 28 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers C

Explanation / Answer

Option C is Correct

Prediction interval gives a range of values of new observation for the specfic values of X but confidence interval gives a range of values of the mean of Y and Prediction interval are always narrower than Prediction interval

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