Select the correct answer from each drop-down menu.
Right slant line, 8 scatter plots on graphs marked Sylvia (left), Patrick (right) with X and Y axes as Weight (1,000 pounds) and Mileage Per Gallon. Left graph line begins at (1.5, 30) till (7, 23). Right graph line begins at (2, 30) till (7, 25).
Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data.
Sylvia’s line
a line of best fit because her line
. Patrick’s line
a line of best fit as his line
.
Sylvia's line is not a line of best fit because her line doesn't closely follow the scatter plots. Patrick's line is a line of best fit as his line closely follows the scatter plots.
i dont know
Based on the information provided, here are the correct answers:
Sylvia’s line is not a line of best fit because her line doesn't closely follow the scatter plots.
Patrick’s line is a line of best fit as his line closely follows the scatter plots.
To determine whether Sylvia's and Patrick's lines are lines of best fit, we need to understand what a line of best fit represents.
A line of best fit is a straight line on a scatter plot that represents the general trend or direction of the data points. It provides a visual representation of the relationship between two variables, in this case, weight (in thousands of pounds) and mileage per gallon.
To determine if a line is a good fit for the data, we need to assess if it passes near the majority of the scatter plots, minimizing the distance between the line and the data points.
Now, let's analyze Sylvia's line. According to the given information, Sylvia's line starts at (1.5, 30) and ends at (7, 23). We can plot these two points on the left graph.
To do that, we locate the point (1.5, 30) along the x-axis at 1.5 thousand pounds and the y-axis at 30 miles per gallon. Similarly, we locate the point (7, 23) along the x-axis at 7 thousand pounds and the y-axis at 23 miles per gallon. Then we draw a straight line passing through these two points.
Next, let's analyze Patrick's line. According to the given information, Patrick's line starts at (2, 30) and ends at (7, 25). We can plot these two points on the right graph.
To do that, we locate the point (2, 30) along the x-axis at 2 thousand pounds and the y-axis at 30 miles per gallon. Similarly, we locate the point (7, 25) along the x-axis at 7 thousand pounds and the y-axis at 25 miles per gallon. Then we draw a straight line passing through these two points.
Now, to determine if Sylvia's line is a line of best fit, assess whether it passes near the majority of the scatter plots on the left graph. Similarly, assess whether Patrick's line passes near the majority of the scatter plots on the right graph.
Once you've examined the proximity of each line to the scatter plots, you can select the correct answer from each drop-down menu.