The Norway Cup is a European football youth cup and training camp that has arranged at Ekebergsletta in Oslo every year since 1972 (except for in 1976, when the organizers, Bækkelagets Sportsklub, arranged the Oslo Handball Cup instead). We are going to look at the trend in the number of participating teams. To make this problem easy to calculate by hand, we have chosen just a few of the years, 10 years apart:

Find the linear regression line for the number of teams as a function of the year. Then find the interval estimate and the predictive interval when you presuppose a neutral prior - both intervals at \(90 \%\).

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Year Teams 1975 710 1985 1204 1995 1228 2005 1535 2015 1639