Exponential and Logarithmic Curve of Best Fit

What is a curve of best fit used for?

• To make predictions

• To make the graph look pretty

• To connect the points

• To make it look like you know what you are doing

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

• Linear
• Quadratic
• Exponential
• Cubic

Determine which function best fits the given data?

• linear

• quadratic

• cubic

• exponential

What is the Exponential equation of this table?

• y = 3^x(4)

• y = 4^x(3)

• y = 3x + 4

• y = 4x + 3

What is the Exponential equation for the table?

• y = 4(2)^x

• y = 2(4)^x

• y = 2(8)^x

• y = -2(4)^x

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.

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

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

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

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

What is the Exponential equation for the table?

• y = 1(2)^x

• y = 2(1)^x

• y = 2(3)^x

• y = 3(2)^x

x y

0 6

1 12

2 24

3 48

Find the Exponential Equation for this data.

• y = 6(2)^x

• y = 6(1/2)^x

• y = 48(2)^x

• y = 48(1/2)^x

x y

0 0.7

1 2.1

2 6.3

3 18.9

Find the exponential equation for this data.

• y = 0.7(3)^x

• y = 0.7(1/3)^x

• y = 0.7(1.4)^x

• y = 0.7(2)^x

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

• 625

• 3125

• 1575

• 1323