Quiz about Linear Quadratic Exponential Regression

Question 1

Write the exponential regression equation for the data.

Accepted Answer

Y=8.16(2.7)^x

Answer

Y=81.6(2.7)^x

Answer

Y=8.16(.27)^x

Answer

Y=8.16(27)^x

Question 2

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

Accepted Answer

h(t) = -4.9t² + 295t + 0.6

Answer

h(t) = 99t² + 858

Answer

h(t) = -4.9t² + 295t + 2

Answer

h(t) = 99t² + 1,470.3

Question 3

A school recorded the number of students who attended the monthly student council meeting throughout the school year in the table shown. Determine the equation that best models the data.

Accepted Answer

$$s=-t^2+6t+216$$

Answer

$$s=-4t+238$$

Answer

$$s=4t+238$$

Answer

$$s=t^2+6t+216$$

Question 4

Find the equation of the line of best fit for the given data

Accepted Answer

y = 4.19x -163.41

Answer

y = 163.41x+1.49

Answer

y =- 163.41x+ 4.19

Answer

y =- 4.19x+163.41

Question 5

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

Accepted Answer

h(t) = -4.9t² + 295t + 0.6

Answer

h(t) = 99t² + 858

Answer

h(t) = -4.9t² + 295t + 2

Answer

h(t) = 99t² + 1,470.3

Question 6

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.

Accepted Answer

974

Answer

25,101

Answer

940

Answer

952

Question 7

Formulate a quadratic function to model this relationship using quadratic regression.

Accepted Answer

$$h\left(t\right)\ =\ -5.4t^2+21.2t+2$$

Answer

$$h\left(t\right)\ =\ -4.9t^2+6.86t+1.8$$

Answer

$$h\left(t\right)=-1.8\left(t-1\right)^2+2.8$$

Answer

$$h(t)=-13t^2+5.2t+0.5$$

Question 8

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

Accepted Answer

f(x) =
2.1x² - 8.6x + 10.1

Answer

f(x) =
2x² - 9x + 10

Answer

f(x)=
3x² + 9x - 10

Answer

f(x) =
3.1x² - 9.2x - 10.3

Question 9

Using quadratic regression to write a quadratic function to represent the function of the graph.

Accepted Answer

$$y=-\frac{1}{3}x^2+x+4$$

Answer

$$y=-\frac{1}{2}x^2+x$$

Answer

$$y=-5x^2-9x+1$$

Answer

$$y=-0.667x^2+2x$$

Question 10

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

Accepted Answer

y = 1.5x + 12

Answer

y = 12x + 1.5

Answer

y = 0.67x - 8

Answer

y = -8x + 0.67

Question 11

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

Accepted Answer

y = 7x² - 3x

Answer

y = 3x² - 2x + 1

Answer

y = 6x² + 3x - 2

Answer

y = 7x² - 3x + 1

Linear Quadratic Exponential Regression

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