Question Predict a company's revenue in 2017 using a linear model $y=27.27x+6.74$ or a quadratic model $y=1.54x^2+14.91x+19.10$ .

Studdy Solution

STEP 1

Assumptions1. The line of best fit is given by the equation $y=27.27x+6.74$ . . The quadratic equation of best fit is given by the equation $y=1.54x^{}+14.91x+19.10$ .
3. The year2017 corresponds to $x=10$ in the equations.

STEP 2

First, we need to find the predicted revenue in2017 using the line of best fit. We can do this by substituting $x=10$ into the equation of the line.
$y =27.27x +6.74$

STEP 3

Now, plug in the value for $x$ to calculate the predicted revenue.
$y =27.27(10) +6.74$

STEP 4

Calculate the predicted revenue.
$y =27.27(10) +6.74 =279.44$ The line of best fit predicts the company's revenue to be $279.44 billion in2017.

STEP 5

Next, we need to find the predicted revenue in2017 using the quadratic equation of best fit. We can do this by substituting $x=10$ into the equation of the quadratic.
$y =1.54x^{2} +14.91x +19.10$

STEP 6

Now, plug in the value for $x$ to calculate the predicted revenue.
$y =1.54(10)^{2} +14.91(10) +19.10$

STEP 7

Calculate the predicted revenue.
$y =1.54(10)^{2} +14.91(10) +19.10 =339.10$ The quadratic equation of best fit predicts the company's revenue to be $339.10 billion in2017.

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Question Predict a company's revenue in 2017 using a linear model $y=27.27x+6.74$ or a quadratic model $y=1.54x^2+14.91x+19.10$ .

Studdy Solution

STEP 1

Assumptions1. The line of best fit is given by the equation $y=27.27x+6.74$ . . The quadratic equation of best fit is given by the equation $y=1.54x^{}+14.91x+19.10$ .
3. The year2017 corresponds to $x=10$ in the equations.

STEP 2

First, we need to find the predicted revenue in2017 using the line of best fit. We can do this by substituting $x=10$ into the equation of the line.
$y =27.27x +6.74$

STEP 3

Now, plug in the value for $x$ to calculate the predicted revenue.
$y =27.27(10) +6.74$

STEP 4

Calculate the predicted revenue.
$y =27.27(10) +6.74 =279.44$ The line of best fit predicts the company's revenue to be $279.44 billion in2017.

STEP 5

Next, we need to find the predicted revenue in2017 using the quadratic equation of best fit. We can do this by substituting $x=10$ into the equation of the quadratic.
$y =1.54x^{2} +14.91x +19.10$

STEP 6

Now, plug in the value for $x$ to calculate the predicted revenue.
$y =1.54(10)^{2} +14.91(10) +19.10$

STEP 7

Calculate the predicted revenue.
$y =1.54(10)^{2} +14.91(10) +19.10 =339.10$ The quadratic equation of best fit predicts the company's revenue to be $339.10 billion in2017.

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Question Predict a company's revenue in 2017 using a linear model y=27.27x+6.74y=27.27x+6.74y=27.27x+6.74 or a quadratic model y=1.54x2+14.91x+19.10y=1.54x^2+14.91x+19.10y=1.54x2+14.91x+19.10.

Studdy Solution

STEP 1

Assumptions1. The line of best fit is given by the equation y=27.27x+6.74y=27.27x+6.74y=27.27x+6.74. . The quadratic equation of best fit is given by the equation y=1.54x+14.91x+19.10y=1.54x^{}+14.91x+19.10y=1.54x+14.91x+19.10.3. The year2017 corresponds to x=10x=10x=10 in the equations.

STEP 2

First, we need to find the predicted revenue in2017 using the line of best fit. We can do this by substituting x=10x=10x=10 into the equation of the line.y=27.27x+6.74y =27.27x +6.74y=27.27x+6.74

STEP 3

Now, plug in the value for xxx to calculate the predicted revenue.y=27.27(10)+6.74y =27.27(10) +6.74y=27.27(10)+6.74

STEP 4

Calculate the predicted revenue.y=27.27(10)+6.74=279.44y =27.27(10) +6.74 =279.44y=27.27(10)+6.74=279.44The line of best fit predicts the company's revenue to be $279.44 billion in2017.

STEP 5

Next, we need to find the predicted revenue in2017 using the quadratic equation of best fit. We can do this by substituting x=10x=10x=10 into the equation of the quadratic.y=1.54x2+14.91x+19.10y =1.54x^{2} +14.91x +19.10y=1.54x2+14.91x+19.10

STEP 6

Now, plug in the value for xxx to calculate the predicted revenue.y=1.54(10)2+14.91(10)+19.10y =1.54(10)^{2} +14.91(10) +19.10y=1.54(10)2+14.91(10)+19.10

STEP 7

Calculate the predicted revenue.y=1.54(10)2+14.91(10)+19.10=339.10y =1.54(10)^{2} +14.91(10) +19.10 =339.10y=1.54(10)2+14.91(10)+19.10=339.10The quadratic equation of best fit predicts the company's revenue to be $339.10 billion in2017.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question Predict a company's revenue in 2017 using a linear model $y=27.27x+6.74$ or a quadratic model $y=1.54x^2+14.91x+19.10$ .

Assumptions1. The line of best fit is given by the equation $y=27.27x+6.74$ . . The quadratic equation of best fit is given by the equation $y=1.54x^{}+14.91x+19.10$ .
3. The year2017 corresponds to $x=10$ in the equations.

First, we need to find the predicted revenue in2017 using the line of best fit. We can do this by substituting $x=10$ into the equation of the line.
$y =27.27x +6.74$

Now, plug in the value for $x$ to calculate the predicted revenue.
$y =27.27(10) +6.74$

Calculate the predicted revenue.
$y =27.27(10) +6.74 =279.44$ The line of best fit predicts the company's revenue to be $279.44 billion in2017.

Next, we need to find the predicted revenue in2017 using the quadratic equation of best fit. We can do this by substituting $x=10$ into the equation of the quadratic.
$y =1.54x^{2} +14.91x +19.10$

Now, plug in the value for $x$ to calculate the predicted revenue.
$y =1.54(10)^{2} +14.91(10) +19.10$

Calculate the predicted revenue.
$y =1.54(10)^{2} +14.91(10) +19.10 =339.10$ The quadratic equation of best fit predicts the company's revenue to be $339.10 billion in2017.