Exercises

Mix and Match

Match each description on the left with its mathematical expression on the right.

1. Reciprocal transformation (a) log y = b0 + b1 log x
2. Opposite of log transformation (b) 1.01x
3. Slope estimates elasticity (c) exp (x)
4. 1% increase in x (d) 1/y
5. Approaches b0 as x gets large (e) y = b0 + b11/x
6. Random variation

(f)

A scatterplot in which the data form a curve that opens downward. There is no fitted line, but there is medium distribution of the data.
7. Diminishing marginal return

(g)

A scatterplot with no discernible pattern
8. Pattern unsuited to log or reciprocal transformations

(h)
9. Negative, nonlinear association

(i)
10. Linear pattern

(j)

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