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The Scatterplot Shown Below Represents a Typical Shape of a Cubic

Question 30

Multiple Choice

The scatterplot shown below represents a typical shape of a cubic regression model y = β0 + β1x + β2x2 + β3x3 + ε. The scatterplot shown below represents a typical shape of a cubic regression model y = β<sub>0</sub> + β<sub>1</sub>x + β<sub>2</sub>x<sup>2</sup> + β<sub>3</sub>x<sup>3</sup> + ε. Which of the following is true about values of the regression coefficients? A) β<sub>1</sub> > 0; β<sub>2</sub> > 0; β<sub>3</sub> > 0 B) β<sub>1</sub> < 0; β<sub>2</sub> > 0; β<sub>3</sub> > 0 C) β<sub>1</sub> < 0; β<sub>2</sub> < 0; β<sub>3</sub> > 0 D) β<sub>1</sub> > 0; β<sub>2</sub> < 0; β<sub>3</sub> > 0 Which of the following is true about values of the regression coefficients?


A) β1 > 0; β2 > 0; β3 > 0
B) β1 < 0; β2 > 0; β3 > 0
C) β1 < 0; β2 < 0; β3 > 0
D) β1 > 0; β2 < 0; β3 > 0

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