Linear, Exponential and Quadratic Regressions

Predict the height of the ball in feet after having traveled a distance of 19 feet.

• 3.1 ft

• 1.8 ft

• 2.1 ft

• 0.2 ft

A scientist observes the weight, y, of a 100-gram sample decay every week, x. Determine which exponential regression best models the data in the table.

• y = 100(8.7)^x

• y = 100(1.87)^x

• y = 100(.87)^x

• y = 100(.13)^x

Predict how many grams of the 100-gram sample will remain after 15 weeks.

• 23.8 grams

• 14.1 grams

• 19 grams

• 10 grams

• A plane ride costs $0.136 (13 cents)

• For every 1 mile flown, the cost goes up  $ 0.136 dollars (13 cents)

• For every 1 mile flown, the cost goes up $74

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

Find the best fitting quadratic model for the data given.

Determine the curve of best fit.

Find the best fitting Quadratic model for the data

What is the equation of this table?

• y=512(1/4)^x

• y=32(4)^x

• y=32(1/4)^x

• y=512(4)^x

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