Linear, Quadratic, & Exponential Regression

Front

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

Back

-.12x² + 2.11x + 4.22

Front

Find the height of the ball when it traveled a distance of 10 feet.

Back

13.3 ft

Front

Find the best fitting quadratic model for the data given. Options: 1.2x² + 13x + 504.3, 12x² + 13x + 504.3, .12x² + 1.3x + 504.3

Back

1.2x² + 13x + 504.3

Front

Calculate the linear regression equation of the data recorded by a person traveling by car.

Back

y = 61.93x - 1.79

Front

Predict the distance traveled after 10 hours using the equation y = 61.93x - 1.79.

Back

617.5 miles

Front

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. Options: y = 100(8.7)^x, y = 100(1.87)^x, y = 100(.87)^x, y = 100(.13)^x

Back

y = 100(.87)^x

Front

Write the exponential regression equation for this data. Options: Y = 8.16(2.7)^X, Y = 81.6(2.7)^X, Y = 8.16(.27)^X, Y = 8.16(27)^X

Back

Y = 8.16(2.7)^X

Front

Use the exponential equation from number 7 to predict the number of grams after 10 days.

Back

187636.2 grams

Front

Possible line of best fit for the data: y = -5/2x + 20, y = -x + 19, y = x + 20, y = 2/3x + 15

Back

y = -5/2x + 20

Front

Is the pictured graph exponential growth, exponential decay, or linear or none?

Back

Exponential Growth