Exponential Quadratic Linear Regression

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

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

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

• f(x) = 25.05x + 5.57

• f(x) = 5.57x + 25.05

• f(x) = -5.57x + 25.05

• f(x) = 5.57x - 25.05

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

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

• linear

• exponential

• quadratic

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

• linear

• exponential

• quadratic

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

What function model best represents the data in the table?

• linear

• exponential

• quadratic

What function best models the data in the table?

• linear

• exponential

• quadratic

Identify the following function. 

• Linear

• Exponential

• Quadratic

• Neither