Exponential and Logarithmic Regression

Find the logarithmic regression equation.

What is the Exponential equation for the table?

• y = 4(2)^x

• y = 2(4)^x

• y = 2(8)^x

• y = -2(4)^x

Using regression methods, write the function that BEST represents this data?

• V = -1053y + 14,413

• V = 60y² - 1,500y + 15,000

• V = 15,000(0.9)^y

• V = 100y² - 1,200y + 15,000

A single person sent a text to 3 friends. Each person in this group of 3 people then sent the same text to several people. In each subsequent stage, each person who received a text sent the text to several new people. The table shows the number of texts sent at each stage.

Using regression methods, write the function that BEST represents this data?

• f(x) = .9(4)^x

• f(x) = 1.3(3)^x

• f(x) = 152x - 176

• f(x) = 73x² - 213x + 68

Quinn recorded his progress bench pressing while training for varsity football. The table shows his results for the past 15 months. Find the logarithmic regression equation of the data:

• y = 188.19 log(1.02)^x

• y = 176.25 + 26.11ln(x)

• y = 188.03 + 4.51Log(x)

• y = -190.78 + 36.73ln(x)

The represents ordered pairs of the function f(x). Which of the following statements are true? Select all the apply.

• f(x) is modeling exponential decay

• The decay factor is 0.125

• The decay factor is 0.875

• The y intercept is 960

• The y intercept is 120

The values in the table follow either a linear pattern or an exponential pattern. Which of the following is the missing y -value?

• 36

• 6

• 24

• 54

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

• Yes

• No

Pick the equation that is exponential growth:

• y=2(0.5)^x

• y = 0.5(2)^x

The growth factor for this table is

• 50

• 2

• 3

• 150