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. 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 (x1) XST Units (x2) Gas Mileage (y, mpg) 0 0 27.30 0 0 28.25 0 0 28.61 1 0 29.45 1 0 30.69 2 0 28.26 2 0 29.27 0 1 32.50 0 1 33.55 1 1 33.76 1 1 34.94 0 2 32.73 0 2 33.75 1 2 34.43 1 2 35.45 1 2 35.92 Based on the output, construct an equation that can be used to predict the gasoline mileage based on X1 and X2. Interpret the coefficient of X1
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.
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 |
XST |
Gas Mileage |
|
0 |
0 |
27.30 |
|
0 |
0 |
28.25 |
|
0 |
0 |
28.61 |
|
1 |
0 |
29.45 |
|
1 |
0 |
30.69 |
|
2 |
0 |
28.26 |
|
2 |
0 |
29.27 |
|
0 |
1 |
32.50 |
|
0 |
1 |
33.55 |
|
1 |
1 |
33.76 |
|
1 |
1 |
34.94 |
|
0 |
2 |
32.73 |
|
0 |
2 |
33.75 |
|
1 |
2 |
34.43 |
|
1 |
2 |
35.45 |
|
1 |
2 |
35.92 |
- Based on the output, construct an equation that can be used to predict the gasoline mileage based on X1 and X2. Interpret the coefficient of X1
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