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-xg, 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 (у, пре) (x1) (x2) 27.47 28.40 28.15 29.14 1 30.55 2 28.55 2 29.59 1 32.52 1 33.40 1 1 33.91 34.23 32.04 2 33.74 1 34.50 2 35.58 1 35.67 2 33.47 34.28 2 2 34.66 1 33.48 33.02 2 3 33.86 Using the model, y = 6g + 81x1 + 82x1? + 63x2 + Bax2? + 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
icon
Related questions
Question

ch 13: 4.

 

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 x1 and x2 used in the experiment, along with the corresponding values of y, are given below.
RST
Units
XST
Gas
Units
Mileage
(x1)
(x2)
(y, mpg)
27.47
28.40
28.15
1
29.14
30.55
2
28.55
29.59
1
32.52
1
33.40
1
33.91
34.23
2
32.04
2
33.74
1
2
34.50
1
2
35.58
1
2
35.67
2
33.47
2
34.28
34.66
1
3
33.48
2
3
33.02
3
33.86
Using the model, y = 60 + 61x1 + 62x1? + 83x2 + 64x22 + 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 mmm
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 x1 and x2 used in the experiment, along with the corresponding values of y, are given below. RST Units XST Gas Units Mileage (x1) (x2) (y, mpg) 27.47 28.40 28.15 1 29.14 30.55 2 28.55 29.59 1 32.52 1 33.40 1 33.91 34.23 2 32.04 2 33.74 1 2 34.50 1 2 35.58 1 2 35.67 2 33.47 2 34.28 34.66 1 3 33.48 2 3 33.02 3 33.86 Using the model, y = 60 + 61x1 + 62x1? + 83x2 + 64x22 + 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 mmm
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt