PUzzle design challenge analysis
In this section of my project, I analyzed my data for gender, age, and time for the people who solved my cube. I also drew a lined scatter plot based on my data.
Conclusion
1. Why is it important to model an idea before making a final prototype?
You can test the model and modify to make the model better before you make the actual prototype, rather than just making a prototype with errors
2. Which assembly constraint(s) did you use to constrain the parts of the puzzle to the assembly such that it did not move? Describe each of the constraint types used and explain the degrees of freedom that are removed when each is applied between two parts. You may wish to create a sketch to help explain your description.
I used assembly constraints such as flush and mate. I used flush to put the puzzle parts together and mate to align the cubes so they don't have bumps on the outside of the cube
3. Based on your experiences during the completion of the Puzzle Design Challenge, what is meant when someone says, “I used a design process to solve the problem at hand”? Explain your answer using the work that you completed for this project.
Design process means you designed it in a process from brainstorming to actually making the model later.
4. How does the gender of the puzzle solver affect solution time? Be specific and provide evidence to support your answer.
Females took a longer time than males in general. Females in my testing took 16 minutes and 3 minutes but males took in a range of 20 seconds to 3 minutes
5. How does the age of the puzzle solver affect solution time?
The data shows that older people take longer to solve the cube
a. Make a specific statement related to the rate of increase or decrease of solution time with respect to age. Provide evidence that supports your statement.
The correlation between the solution time and age is positive. As age increases, the solution time in creases too.
b. Write an equation using function notation that represents puzzle solution time in terms ofage. Be sure to define your variables and identify units.
There cannot be a function because there are too many variables and outliers.
c. Predict the solution time on the first attempt of a child who is 3 years of age. Show your work.
Solution time on the first attempt of a 3 year will be about 10 seconds according to my data. But, I personally think they will take about 20 minutes because they are not so experienced in challenging problems
d. Predict the solution time on the first attempt of a person who is 95 years of age. Show your work.
I believe a person who is 95 years of age will take about 1 hour on their first attempt according to my data demonstrated above.
e. Do these predictions make sense? Why or why not?
They make sense if you look at my data, because they are estimations based on my data. But in real life, if you think of it as not based on my data, it doesn't make sense
f. What is a realistic domain for the function?
Realistic domain for this function is the age. So it should be greater than 0 and probably less than 100.
g. Collect additional data to verify your mathematical model.
My additional data is shown above.
1. Why is it important to model an idea before making a final prototype?
You can test the model and modify to make the model better before you make the actual prototype, rather than just making a prototype with errors
2. Which assembly constraint(s) did you use to constrain the parts of the puzzle to the assembly such that it did not move? Describe each of the constraint types used and explain the degrees of freedom that are removed when each is applied between two parts. You may wish to create a sketch to help explain your description.
I used assembly constraints such as flush and mate. I used flush to put the puzzle parts together and mate to align the cubes so they don't have bumps on the outside of the cube
3. Based on your experiences during the completion of the Puzzle Design Challenge, what is meant when someone says, “I used a design process to solve the problem at hand”? Explain your answer using the work that you completed for this project.
Design process means you designed it in a process from brainstorming to actually making the model later.
4. How does the gender of the puzzle solver affect solution time? Be specific and provide evidence to support your answer.
Females took a longer time than males in general. Females in my testing took 16 minutes and 3 minutes but males took in a range of 20 seconds to 3 minutes
5. How does the age of the puzzle solver affect solution time?
The data shows that older people take longer to solve the cube
a. Make a specific statement related to the rate of increase or decrease of solution time with respect to age. Provide evidence that supports your statement.
The correlation between the solution time and age is positive. As age increases, the solution time in creases too.
b. Write an equation using function notation that represents puzzle solution time in terms ofage. Be sure to define your variables and identify units.
There cannot be a function because there are too many variables and outliers.
c. Predict the solution time on the first attempt of a child who is 3 years of age. Show your work.
Solution time on the first attempt of a 3 year will be about 10 seconds according to my data. But, I personally think they will take about 20 minutes because they are not so experienced in challenging problems
d. Predict the solution time on the first attempt of a person who is 95 years of age. Show your work.
I believe a person who is 95 years of age will take about 1 hour on their first attempt according to my data demonstrated above.
e. Do these predictions make sense? Why or why not?
They make sense if you look at my data, because they are estimations based on my data. But in real life, if you think of it as not based on my data, it doesn't make sense
f. What is a realistic domain for the function?
Realistic domain for this function is the age. So it should be greater than 0 and probably less than 100.
g. Collect additional data to verify your mathematical model.
My additional data is shown above.