Linear Quadratic and Exponential Regression

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

• -18x² + 2.11x + 4.21

• -.06x² +1.06x + 7.9

• -6x² +1.06x + 79

• -.12x² + 2.11x + 4.22

Find the best fitting quadratic model for the data given.

• 2x² + 13x + 504.3

• 12x² + 13x + 504.3

• .12x² + 1.3x + 504.3

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

• y = 61.93x - 1.79

• y = -1.79x + 61.93

• y = 0.016x + 0.03

• y = 0.03x + 0.016

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 the data.

Determine the curve of best fit using quadratic regression on your calculator.

(a)  

Based on the table, use quadratic regression to determine which function can best be used to model this situation?

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

Write the exponential regression equation for the data.

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10

• f(x)=
   3x² + 9x - 10

• f(x) =
   3.1x² - 9.2x - 10.3

• f(x) =
  2.1x² - 8.6x + 10.1

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

• 974

• 25,101

• 940

• 952