Answer :
The correct statement is "A tire with a 32-inch diameter at the tread will have a circumference of 99.3 inches"(b).
The equation for the least-squares line given is:
y = 0.1 + 3.1x
Where:
- y represents the circumference of the tire.
- x represents the diameter of the tire at the tread.
To find the circumference of a tire with a given diameter at the tread, you can plug the value of x into the equation.
Let's evaluate the options:
a. A tire with a 28-inch diameter at the tread will have a circumference:
y = 0.1 + 3.1 * 28
y = 0.1 + 86.8 = 86.9 inches
b. A tire with a 32-inch diameter at the tread will have a circumference:
y = 0.1 + 3.1 * 32
y = 0.1 + 99.2 = 99.3 inches
c. A tire with a 30-inch diameter at the tread will have a circumference:
y = 0.1 + 3.1 * 30
y = 0.1 + 93 = 93.1 inches
d. A tire with a 35-inch diameter at the tread will have a circumference:
y = 0.1 + 3.1 * 35
y = 0.1 + 108.5 = 108.6 inches
Based on the given equation, the statement that is TRUE is:
b. A tire with a 32-inch diameter at the tread will have a circumference of 99.3 inches
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