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1. For a linear equation, y = - 4x -2, what is the y-intercept and what is the algebraic definition of it? (5 points) a.
1. For a linear equation, y = - 4x -2, what is the y-intercept and what is the algebraic definition of it? (5 points)
- a. The y-intercept = 2. It is the y-coordinate of a point where the graph of y = - 4x -2 cuts across the y-axis at (0,2)
- b. The y-intercept = - 2. It is the y-coordinate of a point where the graph of y = - 4x -2 cuts across the y-axis at (0,-2)
- c. The y-intercept = 2. It is the y-coordinate of a point where the graph of y = - 4x -2 cuts across the y-axis at (2,0)
- d. The y-intercept = - 2. It is the y-coordinate of a point where the graph of y = - 4x -2 cuts across the y-axis at (-2,0)
2. For a linear equation, y = - 4x -2, what is the slope and what is the algebraic definition of it? (5 points)
- a. The slope = -4x. For each unit increase of x, y decreases by -4.
- b. The slope = -4x. For each unit increase of y, x decreases by -4.
- c. The slope = -4. For each unit increase of x, y decreases by -4.
- d. The slope = -4. For each unit increase of y, x decreases by -4.
3. Which of the following statement is true? (5 points)
- a. A line with a positive slope is rising from right to left, a line with a negative slope is falling from right to left, and a horizontal line neither rises nor falls and has no slope.
- b. A line with a positive slope is rising from left to right, a line with a negative slope is falling from left to right, and a horizontal line neither rises nor falls and has no slope.
- c. A line with a negative slope is rising from left to right, a line with a positive slope is falling from left to right, and a horizontal line neither rises nor falls and has a slope of zero.
- d. A line with a positive slope is rising from left to right, a line with a negative slope is falling from left to right, and a horizontal line neither rises nor falls and has a slope of zero.
4. Which of the following statements is FALSE? (5 points)
- a. The standard deviation is a measure of how far, on average, the data values deviate from the mean.
- b. The value of the standard deviation can increase dramatically with the inclusion of one or more outliers (data values that are very far away from all of the others).
- c. If all values of a data set are the same, thestandard deviationiszero(because each value is equal to the mean).
- d. The value of the standard deviation is usually positive. It is only negative when most values in the data set are less than the mean.
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