Free Printable Exponential and Logarithmic Curve of Best Fit

1.

What is a curve of best fit used for?

a)

To make predictions

b)

To make the graph look pretty

c)

To connect the points

d)

To make it look like you know what you are doing

2.

Looking at the scatter plot given, which equation will best fit the data?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Cubic

3.

Determine which function best fits the given data?

a)

linear

b)

quadratic

c)

cubic

d)

exponential

4.

What is the Exponential equation of this table?

a)

y = 3^x(4)

b)

y = 4^x(3)

c)

y = 3x + 4

d)

y = 4x + 3

5.

What is the Exponential equation for the table?

a)

y = 4(2)^x

b)

y = 2(4)^x

c)

y = 2(8)^x

d)

y = -2(4)^x

6.

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.

a)

$y\ =\ 6.5\ \cdot\ \ln\left(x\right)\ +\ 3.7$

b)

$y\ =\ 3.7\ \cdot\ \ln\left(x\right)\ =\ 6.5$

c)

$y\ =\ 6.5\ \cdot\ \left(3.7\right)^x$

d)

$y\ =\ 3.7\ \cdot\ \left(6.5\right)^x$

7.

What is the Exponential equation for the table?

a)

y = 1(2)^x

b)

y = 2(1)^x

c)

y = 2(3)^x

d)

y = 3(2)^x

8.

x y

0 6

1 12

2 24

3 48

Find the Exponential Equation for this data.

a)

y = 6(2)^x

b)

y = 6(1/2)^x

c)

y = 48(2)^x

d)

y = 48(1/2)^x

9.

x y

0 0.7

1 2.1

2 6.3

3 18.9

Find the exponential equation for this data.

a)

y = 0.7(3)^x

b)

y = 0.7(1/3)^x

c)

y = 0.7(1.4)^x

d)

y = 0.7(2)^x

10.

x 0 1 2 3

y 125 25 5 1

Using the Exponential Regression Equation, find the closest to the value of y, when x = -2

a)

625

b)

3125

c)

1575

d)

1323

Exponential and Logarithmic Curve of Best Fit

Total questions: 10

Worksheet time: 2hrs 38mins

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