Students in physical science laboratory four rolled marbles down a track. The velocity for each marble was calculated and is reported in the table.
v (cm/s)
43
46
48
52
52
52
53
58
__________ What level of measurement is the data?
__________ Find the sample size n for the data.
__________ Find the minimum.
__________ Find the maximum.
__________ Find the range.
__________ Find the midrange.
__________ Find the mode.
__________ Find the median.
__________ Find the sample mean x.
__________ Find the sample standard deviation sx.
__________ Find the sample coefficient of variation CV.
__________ If this data were to be divided into five bins, what would be the width of a single bin?
Determine the frequency and calculate the relative frequency using five bins.
Record your results in the table provided.
Class upper limits (x)
Frequency (f)
Rel. Freq. p(x)
Sum:
Sketch a relative frequency histogram chart of the data anywhere it fits, labeling your horizontal axis and vertical axis as appropriate.
____________________ What is the shape of the distribution?
____________________ Use the sample mean x and standard deviation sx calculated above to determine the z-score for a marble that rolled at 60 cm/s
____________________ Is the z-score for 60 cm/s an ordinary or unusual z-score?
Part II: Linear regression
In physical science laboratory four
the students measured the momentum P before a collision of marbles should be equal to the momentum P after the collision.
P before (g cm/s)
P after (g cm/s)
248
235
271
260
272
266
273
301
277
254
__________ Does the relationship appear to be linear, non-linear, or random?
__________ Calculate the slope of the linear regression for the data.
__________ Calculate the y-intercept of the linear regression for the data.
__________ If the momentum P before is 265 g cm/s, what is the predicted momentum P after?
__________ If the momentum P after is 250 g cm/s, what is the predicted momentum P before?
__________ Is the correlation positive, negative, or neutral?
__________ Determine the correlation coefficient r.
__________ What is the strength of the correlation: strong, moderate, weak, or none?
__________ Determine the coefficient of determination r².
__________ What percent of the variation in the momentum before explains the variation in the momentum after?