Introduction to Probability and Statistics for Engineers and Scientists

9.7Transforming to Linearity 383

TABLE 9.2

Temperature −log(1−P)

5 ◦ .063

10 ◦ .120

20 ◦ .213

30 ◦ .300

40 ◦ .414

50 ◦ .512

60 ◦ .618

80 ◦ .801

1.0

0.8

0.6

0.4

0.2

0.0

Transformed data

0 20 406080

x

–log (1 – P)

FIGURE 9.11

To see whether the data support this model, we can plot−log(1−P) versusx. The
transformed data are presented in Table 9.2 and the graph in Figure 9.11.
Running Program 9.2 yields that the least square estimates ofαandβare

A=.0154

B=.0099