The tensile strength of a certain synthetic fiber is thought to be related to the percentage of cotton in the fiber and to the drying time of the fiber. A study of eight pieces of fiber yielded the following results.
Percentage of cotton
Drying time
Tensile strength
13
2.1
212
15
2.2
221
18
2.5
230
20
2.4
219
3.2
245
3.3
238
17
4.1
243
4.3
242
(a) Fit a multiple regression equation, with tensile strength being the response and the percentage of cotton and the drying time being the input variables.
(b) Predict the tensile strength of a synthetic fiber having 22 percent cotton whose drying time is 3.5.
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