Quadratic and Exponential Regression

Which kind of function has the same Second Differences

• Linear

• Quadratic

• Exponential

• Absolute Value

A person dives into a pool from its edge to swim to the other side. The table shows the depth in feet of the person from the surface of the water after x seconds. The data can be modeled by a QUADRATIC function. Which function best models the data?

Tags

AI.9.8.B

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a QUADRATIC function. Which function best models the data?

Tags

AI.9.8.B

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a QUADRATIC function. Which function best models the data?

Tags

AI.9.8.B

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. The table can be modeled with a QUADRATIC function. Which function can best be used to model this situation?

Tags

AI.9.8.B

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball. Answers may be rounded to the hundredth.

• y= -0.11x² + 2.11x + 4.21

• y= 2.11x² +4.22x - 0.12

• y=4.22x² -0.12x + 2.11

• y= -0.12x² + 2.11x + 4.22

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

• y = 4x² + 1

• y = 3x² + 8x - 3

• y = 4x²

• y = 3x² + 3x - 1

Find the best fitting quadratic model for the data given.

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