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The slope of the line Y= 800 - 4X is -4. For any linear function Y = a + bX, b is the slope of the line. So, in this case, b = -4. From this we know that the line intersects the y-axis at 800 and is downward sloping and to the right. We could also calculate the slope using any two points on the line.
The scatter plot is a mainstay of statistical visualization. It depicts the joint distribution of two variables using a cloud of points, where each point represents an observation in the dataset. This depiction allows the eye to infer a substantial amount of information about whether there is any meaningful relationship between them.
For a function of three variables, a level set is a surface in three-dimensional space that we will call a level surface. For a constant value c c in the range of f(x, y, z) f (x, y, z), the level surface of f f is the implicit surface given by the graph of c = f(x, y, z) c = f (x, y, z).
The equation of the regression line is y = 0.687x + 27.4 y = 0.687 x + 27.4, where y y is the final exam score and x x is the midterm exam score. If Frank scored 85 on the midterm, then our prediction for his final exam score is 0.687 × 85 + 27.4 = 85.795 0.687 × 85 + 27.4 = 85.795.
The term “curve” is used for any line in a graph that shows a relationship between two variables. We draw a line that passes through points A through E. Our curve shows club revenues; we shall call it R 1. Notice that R 1 is an upward-sloping straight line. Notice also that R 1 intersects the vertical axis at $200 (point A).
If a relationship exists, the scatterplot indicates its direction and whether it is a linear or curved relationship. Fitted line plots are a special type of scatterplot that displays the data points along with a fitted line for a simple regression model. This graph allows you to evaluate how well the model fits the data.
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scatter plot. A scatter plot is a plot of the dependent variable versus the independent variable and is used to investigate whether or not there is a relationship or connection between 2 sets of data. Slope. Slope is a measure of the steepness of a line. A line can have positive, negative, zero (horizontal), or undefined (vertical) slope.
