?5 RE Multiple Regression with Old Faithful ?Refer to the sample data given in Exercise and find the multiple regression equation with the response?(y)?variable of “interval-after” time and predictor?(x)?variables of duration and “interval-before” time. Identify the value of the multiple coefficient of determination?R2,?the adjusted?R2,?and the T-value representing the overall significance of the multiple regression equation. Use a 0.05 significance level and determine whether the regression equation can be used to predict the time interval after an eruption given the duration of the eruption-and the time interval before that eruption. Exercise Old Faithful?The table below lists measurements from eight different eruptions of the Old Faithful geyser in Yellowstone National Park. The data consist of the duration (sec) of the eruption, height (ft) of the eruption, time interval (min) before the eruption, and time interval (min) after the eruption. Shown below are Minitab results obtained by using the durations and interval-after times. a.?Determine whether there is sufficient evidence to support a claim of a linear correlation between duration and interval-after time for eruptions of the Old Faithful geyser. b.?What percentage of the variation in interval-after times can be explained by the linear correlation between interval-after times and durations? c.?Letting?y?represent interval-after time and letting x represent duration time, identify the regression equation. d.?If an eruption has a duration of 200 sec, what is the best predicted value for the time interval after the eruption to the next eruption?

Solution 5 RE Step 1 : Given, In a Yellow stone park eight different eruptions of the old faithful geyser which consists of duration and height of the eruption, the time interval has been recorded before and after the eruption. Following are the steps to analyze correlation and regression from Stat Disk . Enter the dataset in stat disk AnalysisCorrelation and regression. . Choose level of significance evaluate . After obtaining the results click ok on Scatter plot. The correlation and regression for the given data is Step 2: The multiple regression equation is A = 50.0900 + 0.2417*D - 0.1779*B Let A is the dependent variable, D is the duration and B is the time interval after eruption.