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WorksheetsLinear, Quadratic, and Exponential Regression
Total questions: 20
Worksheet time: 20mins
What type of regression would you use for this data?
Quadratic
Linear
Radical
Exponential
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
Determine the curve of best fit using quadratic regression on your calculator.
(a)
y=0.95x2−2.08x−0.75
y=−2.7x+7.4
y=−.05x−3.26
y=0.95x2+2.08x+0.75
Write the exponential regression equation for the data.
f(x)=8.16(2.7)x
p(x)=81.6(2.7)x
y=8.16(.27)x
g(x)=8.16(27)x
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
What does H(7) =? round to one decimal place
Use the calculator to process a QUADRATIC REGRESSION to answer the following question
What does H(7) =? round to one decimal place
Using quadratic regression to write a quadratic function to represent the function of the model representing the vertical distance, y, in feet traveled by the cricket, where x is the horizontal distance traveled.
y=−21x2+x
y=−31x2+x+4
y=−5x2−9x+1
y=−0.667x2+2x
Determine the curve of best fit using quadratic regression on your calculator.
y=0.95x2−2.08x−0.75
y=−2.7x+7.4
y=−.05x−3.26
y=0.95x2+2.08x+0.75
Write the exponential regression equation for the data.
f(x)=8.16(2.7)x
p(x)=81.6(2.7)x
y=8.16(.27)x
g(x)=8.16(27)x
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
Use the exponential regression to find an equation that fits the data, where x is the years since 1990.
y=8.92•1.23x
y=1.23•8.92x
y=8.92+1.23x
y=8.92x+1.23
Using quadratic regression to write a quadratic function to represent the function of the graph.
y=−21x2+x
y=−31x2+x+4
y=−5x2−9x+1
y=−0.667x2+2x
Using quadratic regression to write a quadratic function to represent the function of the model representing the vertical distance, y, in meters traveled by the kangaroo, where x is the horizontal distance traveled.
y=−21x2+x
y=−31x2+x+4
y=−5x2−9x+1
y=−0.667x2+2x
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
Write the exponential regression equation 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
Which of the following quadratic equations best represents the following data?
y = 7x2 - 3x
y = 3x2 - 2x + 1
y = 6x2 + 3x - 2
y = 7x2 - 3x + 1
A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.
y = 1.5x + 12
y = 12x + 1.5
y = 0.67x - 8
y = -8x + 0.67
