The accompanying scatterplot shows the regression line, 90% confidence interval,

Question

The accompanying scatterplot shows the regression line, 90% confidence interval, and 90% prediction interval for youth unemployment data for a sample of 20 nations. The response variable is the Male Rate and the predictor variable is me Female Rate. a) Explain the meaning of the 90% prediction interval in this context. b) Explain the meaning of the 90% confidence interval in m is context. c) Using a statistics program, identity any unusual observations, and discuss weir potential impact on the regression. Click the icon so view the scatterplot for the youth unemployment data. a) The 90% prediction interval shows the interval of uncertainty for unemployment rate for a country given a The 90% confidence interval shows the interval of uncertainty for unemployment rate for a country given a Are mere any unusual observations? There is an outlier. For this country, the male rate is much lower man the female rate. There are several outliers. For these countries, the male and female rates are very different. There is an outlier. For this country, me female rate is much lower man the male rate. There are no unusual observations. What is the potential impact of any outliers on me regression? Including any outliers would produce a stronger model. Including any outliers would violate the Randomization Condition, making me regression invalid. Including any outliers would produce a weaker model. Including any outliers would violate the independence Condition, making me regression invalid. sample of male unemployment rates, sample of female unemployment rates. specific female unemployment rate. specific mate unemployment rate.

Explanation / Answer

A prediction interval shows the interval in which the future values of the dependent variable will lie given what has been the trend already, with a given probability, in this case 90%

A 90% confidence interval is the interval A confidence interval which provides an “interval estimae” of an unknown parameter. It is designed to contain the parameter’s value with some stated probability. The width of the interval provides a measure of the precision accuracy of the estimator involved. In this case 90%

A 90% prediction interval shows the interval of uncertianity of a specific male unemploment given a sample female unemployment rate.

A 90% confidence intervl shows the level of uncertaininty of a specific female unemployment rate given a sample of female unemployment rate of the same country.

There is an outliner, for this country the male rate is much lower than the female rate.

Presence of outliners makes the model weeker.

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