Linearizing
Quadratic Scatterplot? No Problem!
Quadratic Scatterplot? No Problem!
draw the original scatterplot
perform linear regression in the calculator with L₁, L₂, Y₁
write out ŷ = a+bx, r2
draw the residual plot
is the model appropriate? if not, continue
take the log of L₂ and store in L₃
draw a scatterplot of (x, log y)
perform linear regression in the calculator with L₁, L₃, Y₁
write out log ŷ = a+bx, r2
draw the residual plot
is the model appropriate? if it is, complete step 12 only. if not, continue to step 13
write out ŷ = 10ᵃ(10)ᵇˣ
take the log of L₁ and store it in L₄
draw a scatterplot of (log x, log y)
perform linear regression in the calculator with L₄, L₃, Y₁
write out log ŷ = a+b(log x), r2
draw a residual plot
check if the model is appropriate
ŷ = 10ᵃ(x)ᵇ (graph using vars 5 EQ)