Answer:
Step-by-step explanation:
The volume of a cone can be found with the following equation:
where is the radius of the base and
is the height of the cone.
For the cone with diameter of 20 units and height of 12 units, the volume is the following:
For the cone with diameter of 18 units and height of 10 units, the volume is the following:
For the cone with diameter of 20 units and height of 12 units, the volume is the following:
The correlation is a negative correlation, because weights and city MPG do not increase at the same time
<h3>The graph of the table of values</h3>To graph of the table of values, we plot
See attachment for graph
<h3>Type of correlation</h3>The correlation is a negative correlation, because weights and city MPG do not increase at the same time
<h3>The equation of the line of best fit</h3>To do this, we make use of a graphing calculator.
From the graphing calculator, we have the following summary:
The line of best fit equation is
y = bx + a
Where
b = SP/SSX = -857.75/862.94 = -0.99
a = MY - bMX = 24.25 - (-0.99*28.94) = 53.0
So, we have:
y = -0.99x + 53
Hence, the equation of the line of best fit is y = -0.99x + 53
<h3>The weight for 30 MPG</h3>This means that y = 30
So, we have:
-0.99x + 53 = 30
Subtract 53 from both sides
-0.99x = -23
Divide by -0.99
x =23
Hence, the predicted weight is 23 pounds
<h3>The city MPG for 1500 pounds</h3>This means that x = 1500
So, we have:
y = -0.99 * 1500 + 53
Evaluate
y = -1432
Hence, the city MPG for 1500 pounds is -1432
Read more about linear regression at:
#SPJ1
