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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF-LE.A.1A

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

Tags

CCSS.HSF-LE.A.1A

Tell whether the ordered pairs

satisfy an exponential function. (Yes or No)

• Yes

• No

Tags

CCSS.HSF-LE.A.1A

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

Tags

CCSS.HSF-LE.A.1A