Analyze the model(only need help with that part) A) what is the practical signif

Question

Analyze the model(only need help with that part) A) what is the practical signifance of the y-intercept B)ideally what should be the y-intercept of the model y have encountered and what suggestions you would make to others doing the lab for the first time comments about difficulties you b. Describe how you gathered your data. Include Finding a Model qq a. Find the best-fit linear model for these data. .x2ox +-. 200 )2-A4 b. Find the best-fit quadratic model for these data ·2cY7x2 YOT: c. Determine which model is a better fit for these data and describe how you made 2. your choice. Be sure to discuss the criteria used in determining which is a better fit. Analyzing the Mode a. What is the practical significance of the y-intercept? b. Ideally, what should be the y-intercept of your model? 3. Viewing the Data Draw a scatter plot of the data. Us axis. Also, include a graph of the linear mod 4. e correct units and provide clear scales for each el and the quadratic model over the data. ing the Missing Data se your model to answer the following questions: If the ballis dropped from a height of 1soin. what will be it What percentage of the Drop-height is the Rebound-height? If the ball rebounds to iscin.. what was its Drop-height? =180 uestions

Explanation / Answer

for the given data

x-> height of drop

y -> rebound height

linear interpolation

0.826x - 0.29 = y, R^2 = 0.996

quadratic interpolation

y = 4.208x^2 + 0.807x - 0.109, R^2 = 0.995

as linear model has R^2 value closer to 1, hence linear model is abetter fit

now,

b. for y = 0.826x - 0.29

when drop height = 0

it means rebound height = -0.29 m, but y can never be negative

hence

for non negative y

0.826x - 0.29 > 0

x > 0.29/0.826

hence

practical significance of the y intecept is the rebound height when the ball is dropped form 0 height

now, this shoudl be ideally 0, but we do get some intercept. this intercept helps us to know the minimum drop height required to get non negative rebound height

c. ideal value for y intercept must be 0 as the ball should not move when it is not dropped ( or dropped form 0 height)

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