1. [1.25/7 Points] DETAILS PREVIOUS ANSWERS 2. [2/6 Points] DETAILS PREVIOUS ANSWERS b.) What conclusion can you draw from this result? MY NOTES ASK YOUR TEACHER this is a small % error, indicating agreement between theory and experimental MY NOTES ASK YOUR TEACHER this is a large % error, indicating disagreement between theory and experimental Experiment: You measure the physical world by varying a physical quantity x and measuring its effect on physical On/a; there is no objective standard for what is small or large % error The following data were obtained in an experiment to determine the velocity vs. time for a particle in one- quantity y, creating a set of x and y pairs of data. dimensional motion. Please cut/paste it into your spreadsheet program, and perform the requested analysis. III.) Advanced Error Analysis: Submit your results below. Theory: Suppose the equation given in each part below is the accepted theoretical equation that relates x to y. Note: these equations also contain constants a = 3 and q = 6. (We'll ignore units in this problem.) a.) What are the bounds of the 95% confidence interval for the experimental slope? Experimental Data: t [s] v [m/s] For each case, how should you plot your data, in order for it to appear linear? (for example, so that it would be mmin= Units redacted] 8 052.0 appropriate to perform a linear fit on it.) mmax [Units redacted] 2.00 056.0 a.) If the theoretical equation was: y = x/a - q 3.00 3060.0 then your experimental graph should be linear if you plotted: b.) Does the theoretical value fall into this range?. 4470.4 yes 5.00 5068.0 V on the vertical axis no x 5.00 5454.8 on the horizontal axis 7.00 7076.0 and would be expected to have a slope of: 8.00 . and what can conclusion can you draw from this comparison? (Select all that apply.) 8080.0 and a vertical axis intercept of: there is no evidence of discrepancy between experiment & theory 9.00 9084.0 b.) Repeat if instead y = 92 + (ax)3 there is evidence of discrepancy between experiment & theory 0.00 1 1096.8 on the vertical axis O we have proven the theory with this experiment Theoretical value: x13 on the horizontal axis O we have disproven the theory with this experiment Also, suppose your theory predicts the slope of this line should be: slope: mtheory = 1119.70 [Units redacted] vertical axis intercept: IV.) Using your model for predictions: What is your experimental model's best prediction for: 1.) Fill in selected results of your linear fit as requested. Also figure out and include the units for each quantity. c.) Repeat if instead cos(y) = a'sin(x) a.) the velocity of the particle at 8.2 seconds? the most probable slope: = m/s/s cos(y ) V on the vertical axis m/s sin(x) on the horizontal axis and its standard error: 0 = m/s/s slope: b.) the time when the particle has a velocity of 8000 m/s? vertical axis intercept: the most probable vertical intercept: m/s d.) Repeat If instead In(y) = a.sin(x) +q coefficient of determination: R2 = In(y) V y on the vertical axis 11.) Basic Error Analysis: sin(x) V on the horizontal axis a.) What is the % error between the experimental , and its theoretical value? (Remember to include sign.) slope