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wwwwwsdo4) Researchers analyze finishing times from the 2017 Boston marathon to investigate any potential relationships between time, nationality, and age. Variables are defined as follows: Time: how long it took the participant to complete the race in minutes USA: Indicator variable for participant's nationality (1 if from USA; 0 if not from USA) Age: participant's age (numeric: from 18 to 84) There are three theoretical models considered. JMP outputs for estimated regression models are also given below (Ref: doi..zj9796): Model 1 : Marathon time, = Bo + B, USA, + 8, Summary of Fit RSquare 0.00578 RSquare Adj 0.005742 Parameter Estimates Root Mean Square Error 42.02687 Term Estimate Std Error t Ratio Prob>It| Mean of Response 238.0593 Intercept 231.78635 0.568502 407.71 <.0001 observations sum wgts usa model : marathon time bo b summary of fit rsquare parameter estimates adj term estimate std error t ratio prob>/t| Root Mean Square Error 40.80604 Intercept 191.01458 1.157826 164.98 <.0001 mean of response usa observations sum wgts age model : marathon time bo b summary fit parameter estimates rsquare term estimate std error t ratio prob>|t| RSquare Adj 0.069166 Intercept 159.91657 2.558916 62.49 <.0001 root mean square error usa of response age observations sum wgts use this information to answer the questions below: construct an approximate ci for b in model t-critical value round decimal places. we want test ho: using both t-test statistic and p-value methods. state whether ho should be rejected briefly justify your p-value. interpret estimated slope context problem. what is predicted marathon time a participant who from years old three places note that proportion not percentage researchers against null hypothesis there no difference population participants are usa. which following hypotheses tested o b1="0" b2="0" b3="0" ob1="0" larger or explain how you can tell results jmp output>