Open the desmos link below to go along with this lesson. I suggest you split your computer screen with the desmos and this GeoGebra.[br][br][u]desmos link[/u]: https://www.desmos.com/calculator/idcdlmuqic[br][br]Watch the oranges video below and record the weight for the number of oranges in the box into your desmos table. [br][br][b]here is the url in case the video just below won't work:[/b] [br][u]oranges video[/u]: https://player.vimeo.com/video/304121358[br][br][u]Desmos directions[/u]:[br]1. Type values in the table to plot points in the plane. Make sure you have the coordinates in the right order, (x, y).[br]2. Click on the wrench to add labels and change the window settings, especially necessary when the x- and y-axes have different scales.[br]3. The green line at y = 0.5 can be changed by dragging the points at (-2, 0.5) and (2, 0.5).[br]4. Adjust the moveable points to fit the line to the data set as closely as possible (make the line go in the same direction as all the points and through the middle of the points).
[u]Desmos directions[/u]:[br]1. Type values in the table to plot points in the plane. Make sure you have the coordinates in the right order,[br] (x, y).[br]2. Click on the wrench to add labels and change the window settings, especially necessary when the x- and y-axes have different scales.[br]3. The green line at y = 0.5 can be changed by dragging the points at (-2, 0.5) and (2, 0.5).[br]4. Adjust the moveable points to fit the line to the data set as closely as possible.
Estimate a value for the slope of the line that you drew. What does the value of the slope represent?[br]
About 0.2. The value represents the approximate weight of each orange added to the box.[br][br][br]
Estimate the weight of a box containing 11 oranges. Will this estimate be close to the actual value? Explain your reasoning.[br][br][br]
About 2.8 kilograms (2.6 + 0.2 = 2.8). The estimate should be close to the actual value since there is only 1 additional orange added, and while there is some variability, it is not great.
Estimate the weight of a box containing 50 oranges. Will this estimate be close to the actual value? Explain your reasoning.
About 10.6 kilograms (2.6 + 40*0.2 = 10.6). This estimate will probably not be very close. With data only going to 10 oranges, the variability in orange weight will make the estimate harder and harder to get close with more oranges.
Estimate the coordinates for the vertical intercept of the line you drew. What might the y-coordinate for this point represent?[br]
About 0.3 kilograms. The y-coordinate estimates the weight of the box with no oranges in it.
Which point(s) are best fit by your linear model? How did you decide?
When there were 6 oranges in the basket, it was closest to my line. I decided this because the line almost goes through that point.
Which point(s) are fit the least well by your linear model? How did you decide?
When there were 7 oranges in the basket, it was the worst estimate. I decided this since this point is the farthest from the line.
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[/img][br]We'll keep this data and scatter plot for a future lesson.
How would the scatter plot and linear model change if the box itself was heavier?
The dots and line would shift up.
Can you think of reasons why the real weight of 50 oranges might be different from the answer we get by using an estimate from the linear model?
50 oranges may not fit in one box, so additional boxes may be needed, which will change the linear pattern in the data. [br]Many of[br]the additional oranges may be very small or very large and not fit the general trend seen with these 10 oranges. [br]While the estimate from the line is interesting and may be better than a wild guess, it should not be considered a very good estimate.
Since we measured 10 oranges, how does that affect your confidence in the estimate for 50 oranges?
It makes me very skeptical that the estimate will be accurate. Although the data may look like a line for this section, there may be very different things happening farther away.
How would the scatter plot and linear model change if grapefruits were used instead of oranges?
The weight would be increased for each point, and the slope of the line would be greater.