The equation of the line of best fit of the scatter plot is y = 1/2x + 3
- The temperature if the thickness is 2 1/3 inches is 4 1/6°F
- The thickness if the temperature is 12°F is 18 inches
The equation of the scatter plot
The scatter plot passes through the points
(0,3) and (6,6)
The slope is calculated using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (6 - 3)/(6 - 0)
Evaluate
m = 1/2
The graph cross the y-axis at y = 3
So, the equation of the line of best fit is:
y = 1/2x + 3
Make a conjecture about a thickness of 2 1/3
This means that:
x = 2 1/3
So, we have:
y = 1/2 * 2 1/3 + 3
Evaluate
y = 1 1/6 + 3
Add the expressions
y = 4 1/6
Hence, the temperature if the thickness is 2 1/3 inches is 4 1/6°F
Make a conjecture about a temperature of 12
This means that:
y = 12
So, we have:
12 = 1/2 * x + 3
Subtract 3 from both sides
9 = 1/2 x
Multiply through by 2
x = 18
Hence, the thickness if the temperature is 12°F is 18 inches
Read more about scatter plots at:
https://brainly.com/question/6592115
