An article describes an experiment in which nine steel specimens were submerged in seawater at various temperatures and the corrosion rates were measured. The results are presented in the following table.
Temperature (°C)
Corrosion (mm/yr)
26.6
1.58
26
1.45
27.4
1.13
21.7
0.96
14.9
0.99
11.3
1.05
15
0.82
8.7
0.68
8.2
0.49
a)Compute the least-squares line for predicting corrosion from temperature. Round the answers to four decimal places.
y = + x
b)Two steel specimens whose temperatures differ by 10°C are submerged in seawater. By how much would you predict their corrosion rates to differ? Round the answer to three decimal places.
mm/yr
c) Predict the corrosion rate for steel submerged in seawater at a temperature of 20°C. Round the answer to three decimal places.
mm/yr
d)Compute the fitted values.
