Question

egression Question 1, A.3.9-BE Part 4 of 4 The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is y=-0.22x + 92.8 where x represents years after 1960 and y represents the corresponding percentage of oil imports. Fossil Fuel Production Year 1960 1970 1980 1990 2000 Production (%) 94 90 87 86 85​

Answer 1

`y=-0.22x+92.8\implies \stackrel{\%}{70}=-0.22x+92.8\implies 0=-0.22x+22.8 \\\\\\ 0.22x=22.8\implies x=\cfrac{22.8}{0.22}\implies x\approx 104\hspace{5em}\stackrel{ 1960~~ + ~~104 }{\textit{\LARGE year }\text{\LARGE 2064}}`