Quadratic and Exponential Regression

A restaurant sells pizza for the prices in the data table. Calculate the linear model of the data.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

Tags

CCSS.8.EE.B.5

A person travels by car. They record their miles driven in a data table. Calculate the linear model of this data.

• y = 61.93x - 1.79

• y = -1.79x + 61.93

• y = 0.016x + 0.03

• y = 0.03x + 0.016

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

Find the quadratic model for the relationship of the horizontal distance and the height of the ball.

• y = -18x² + 2.11x + 4.21

• y = -.06x² +1.06x + 7.9

• y = -6x² +1.06x + 79

• y = -.12x² + 2.11x + 4.22

Use the equation y = -.12x² + 2.11x + 4.22 to find when the ball hits the ground.

• 22.8 seconds

• 19.4 seconds

• 18.8 seconds

• 16.2 seconds

Find the best fitting quadratic model for the data given.

• y = 1.2x² + 13x + 504.3

• y = 12x² + 13x + 504.3

• y = .12x² + 1.3x + 504.3

Determine the curve of best fit. Hint: view the scatter plot and check coefficient of determination to determine which is the 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

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

Tags

CCSS.HSF.LE.A.2

Write the exponential model 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

Tags

CCSS.HSF.LE.A.2