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A random sample of 135 teams playing in major international team sporting competitions has been selected to study corporate sponsorship and subsequent sporting success. Some of the variables recorded for each team are listed below. Variable Description subid Subject ID sex sex of players numSponsors number of distinct corporate sponsors percentWin the percentage of international games won A simple linear regression is run to answer the research question, 'What is the relation between the percentage of international games won and number of distinct corporate sponsors?' The results of the analysis are reported below: Estimate Std. Error t value Pr(>|t|) (Intercept) 39.2174 2.3618 16.6049 0 numSponsors 0.6875 0.0583 11.7910 0 Using the output presented above, and assuming as necessary that all test assumptions are verified, predict the value of the percentage of international games won when number of distinct corporate sponsors is 17. Report your answer with at least 3d p