Linear Regression Problems 2. The table gives the Olympic pole vault records in the twentieth century. Year 1904 1912 1920 1928 1936 1952 1960 1968 1976 1984 Heigh 3.50 3.95 4.09 4.20 4.35 4.55 5.10 5.40 5.64 5.75 t (m) a) Sketch a scatterplot to determine the shape of the data and which function will most likely model the data. b) Use technology to find the value of R- and confirm that a linear regression is a good fit. c) Estimate the record height of Olympic pole-vaulting in 2000. d) In what year will the record height of Olympic pole-vaulting be round 5.87 meters? (show work)