A hi-fi store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Find the logarithmic regression equation.

y = 6.5 ⋅ ln ⁡ ( x ) + 3.7 y\ =\ 6.5\ \cdot\ \ln\left(x\right)\ +\ 3.7 y = 6 . 5 ⋅ ln ( x ) + 3 . 7

y = 3.7 ⋅ ln ⁡ ( x ) = 6.5 y\ =\ 3.7\ \cdot\ \ln\left(x\right)\ =\ 6.5 y = 3 . 7 ⋅ ln ( x ) = 6 . 5

y = 6.5 ⋅ ( 3.7 ) x y\ =\ 6.5\ \cdot\ \left(3.7\right)^x y = 6 . 5 ⋅ ( 3 . 7 ) x

y = 3.7 ⋅ ( 6.5 ) x y\ =\ 3.7\ \cdot\ \left(6.5\right)^x y = 3 . 7 ⋅ ( 6 . 5 ) x

Resource Library

Math

Probability And Statistics

Curve Of Best Fit

Curve Of Best Fit And Modeling

Curve of Best Fit and Modeling

Authored by Raymart Castro

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

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15 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Look at the data in this table.
Which equation most closely represents the line of best fit for this data?

$y=1.77x+0.13$

$y=0.56x-0.05$

$y=0.5x$

$y=2x$

The number of complaints a company received at the end of each of six weeks is shown in this table.
Based on the line of best fit, how many complaints should the company expect at the end of week 8?

110

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

An object is launched at 19.6 meters per second (m/s) from a platform. The equation for the object's height s at time t seconds after launch is s(t)=-16t²+110t+49, where s is in meters. How high is the object after 1 second?

143 meters

49 meters

238 meters

110 meters

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a ball thrown into the air is represented by the function
h(t) = -16t²+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height.

8 mins

2.5 seconds

5 seconds

604 seconds

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the best fitting quadratic model for the data given.

y = 1.2x² + 13x + 504.3

y = 12x² + 13x + 504.3

y = .12x² + 1.3x + 504.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Using the curve of best fit, what would be the output (y) when the input (x) is 7?

260

240

140

320

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When using Desmos to find the curve of best fit, what do I need to enter first?

y₁ ~ ax₁²+bx₁ + c

the equation

the table/chart of values

the vertex

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the exponential equation that represents the given table.

$y=21\cdot3^x$

$y=7+3x$

$y=7\cdot3^x$

$y=21-42x$

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Curve of Best Fit and Modeling

Look at the data in this table.
Which equation most closely represents the line of best fit for this data?

The number of complaints a company received at the end of each of six weeks is shown in this table.
Based on the line of best fit, how many complaints should the company expect at the end of week 8?

An object is launched at 19.6 meters per second (m/s) from a platform. The equation for the object's height s at time t seconds after launch is s(t)=-16t²+110t+49, where s is in meters. How high is the object after 1 second?

If a ball thrown into the air is represented by the function
h(t) = -16t²+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height.

Find the best fitting quadratic model for the data given.

Using the curve of best fit, what would be the output (y) when the input (x) is 7?

When using Desmos to find the curve of best fit, what do I need to enter first?

When finding the curve of best fit in Desmos, what do I do after I entered my table of coordinates?

For which set of data would a linear model best fit?

Write the exponential equation that represents the given table.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Curve of Best Fit and Modeling

Look at the data in this table.Which equation most closely represents the line of best fit for this data?

The number of complaints a company received at the end of each of six weeks is shown in this table.Based on the line of best fit, how many complaints should the company expect at the end of week 8?

An object is launched at 19.6 meters per second (m/s) from a platform. The equation for the object's height s at time t seconds after launch is s(t)=-16t2+110t+49, where s is in meters. How high is the object after 1 second?

If a ball thrown into the air is represented by the functionh(t) = -16t2+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height.

Find the best fitting quadratic model for the data given.

Using the curve of best fit, what would be the output (y) when the input (x) is 7?

When using Desmos to find the curve of best fit, what do I need to enter first?

When finding the curve of best fit in Desmos, what do I do after I entered my table of coordinates?

For which set of data would a linear model best fit?

Write the exponential equation that represents the given table.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Look at the data in this table.
Which equation most closely represents the line of best fit for this data?

The number of complaints a company received at the end of each of six weeks is shown in this table.
Based on the line of best fit, how many complaints should the company expect at the end of week 8?

An object is launched at 19.6 meters per second (m/s) from a platform. The equation for the object's height s at time t seconds after launch is s(t)=-16t²+110t+49, where s is in meters. How high is the object after 1 second?

If a ball thrown into the air is represented by the function
h(t) = -16t²+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height.