Regression Practice

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

Use the exponential regression to find an equation that fits the​ data, where x is the years since 1990.

• y=8.92•1.23^x
• y=1.23•8.92^x
• y=8.92+1.23x
• y=8.92x+1.23

Which of the following quadratic equations best represents the following data?

• y = 7x² - 3x

• y = 3x² - 2x + 1

• y = 6x² + 3x - 2

• y = 7x² - 3x + 1

Find the best fitting quadratic model for the data given.

• 1.2x² + 13x + 504.3
• 12x² + 13x + 504.3
• .12x² + 1.3x + 504.3

Determine the curve of best fit.

• y = -2.7x + 7.4

• y = 0.95x² - 2.08x - 0.75

• y = -.05x - 3.26

• y = 0.95x² + 2.08x + 0.75

The table shown is comparing a person's foot length to their height in cm. What might the height of a person be with a foot length of 30 cm?

• 185 cm
• 180 cm
• 190 cm
• 192 cm

A chemist has a 100-gram sample of a radioactive material.  He records the amount of radioactive material every week for 6 weeks and obtains the following data: Find the exponential model of the function.

• y = 100(8.7)^x
• y = 100(1.87)^x
• y = 100(.87)^x
• y = 100(.13)^x

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X
• Y = 81.6(2.7)^X
• Y = 8.16(.27)^X
• Y = 8.16(27)^X

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%