what is the graph for Y-hat = -0.333x +35.3
To graph the equation Y-hat = -0.333x + 35.3, you can follow these steps:
1. Draw the x-axis (horizontal axis) and the y-axis (vertical axis) on a graph paper.
2. Identify the slope and y-intercept of the equation:
- The slope is -0.333, which means that for every unit increase in x, the value of y decreases by 0.333.
- The y-intercept is 35.3, which is the value of y when x is 0.
3. Plot the y-intercept on the y-axis. In this case, the y-intercept is 35.3, so locate the point (0, 35.3) on the graph.
4. Use the slope to find additional points on the graph. Since the slope is negative, you can choose a point to the right or left of the y-intercept.
- For example, let's choose x = 3. Substitute this value into the equation: Y-hat = -0.333(3) + 35.3 = 34.301.
- Plot the point (3, 34.301) on the graph.
5. Connect the plotted points with a straight line.
The resulting line represents the graph of the equation Y-hat = -0.333x + 35.3.