United Oil Company is attempting to develop a reasonably priced unleaded gasoline that will deliver higher gasoline mileages than can be achieved by its current unleaded gasolines. As part of its development process, United Oil wishes to study the effect of two independent variables-x1, amount of gasoline additive RST (0, 1, or 2 units), and x2, amount of gasoline additive XST (0, 1, 2, or 3 units), on gasoline mileage, y. Mileage tests are carried out using equipment that simulates driving under prescribed conditions. The combinations of x and x2 used in the experiment, along with the corresponding values of y, are given below. RST XST Gas Units (re) Units Mileage

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ch 13. 3: 

 

United Oil Company is attempting to develop a reasonably priced unleaded gasoline that will deliver higher gasoline mileages than
can be achieved by its current unleaded gasolines. As part of its development process, United Oil wishes to study the effect of two
independent variables-x1, amount of gasoline additive RST (0, 1, or 2 units), and x2, amount of gasoline additive XST (0, 1, 2, or 3
units), on gasoline mileage, y. Mileage tests are carried out using equipment that simulates driving under prescribed conditions. The
combinations of x and x2 used in the experiment, along with the corresponding values of y, are given below.
RST
XST
Gas
Units
Units
Mileage
(x1)
(x2)
(v, mpg)
27.43
28.07
28.46
1
29.38
1
30.00
28.14
2
29.50
32.43
1
33.95
1
1
33.96
1
34.77
32.68
33.84
1
34.64
1
35.46
35.96
33.76
2
34.57
2
34.79
33.20
32.70
2
33.41
Using the model, y = 8g + e1%1 + 82x1? + 83x2 + 8ax2? + E, calculate the point estimate. (Moreover, consider the mean mileage
obtained by all gallons of the gasoline when it is made with one unit of RST and two units of XST (a combination that the data on
the page margin indicates would maximize mean mileage). Do not round intermediate calculations. Round your answer to 4
decimal places.)
Point estimate
222 222 233m
Transcribed Image Text:United Oil Company is attempting to develop a reasonably priced unleaded gasoline that will deliver higher gasoline mileages than can be achieved by its current unleaded gasolines. As part of its development process, United Oil wishes to study the effect of two independent variables-x1, amount of gasoline additive RST (0, 1, or 2 units), and x2, amount of gasoline additive XST (0, 1, 2, or 3 units), on gasoline mileage, y. Mileage tests are carried out using equipment that simulates driving under prescribed conditions. The combinations of x and x2 used in the experiment, along with the corresponding values of y, are given below. RST XST Gas Units Units Mileage (x1) (x2) (v, mpg) 27.43 28.07 28.46 1 29.38 1 30.00 28.14 2 29.50 32.43 1 33.95 1 1 33.96 1 34.77 32.68 33.84 1 34.64 1 35.46 35.96 33.76 2 34.57 2 34.79 33.20 32.70 2 33.41 Using the model, y = 8g + e1%1 + 82x1? + 83x2 + 8ax2? + E, calculate the point estimate. (Moreover, consider the mean mileage obtained by all gallons of the gasoline when it is made with one unit of RST and two units of XST (a combination that the data on the page margin indicates would maximize mean mileage). Do not round intermediate calculations. Round your answer to 4 decimal places.) Point estimate 222 222 233m
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