MS 150 Statistics fall 2008 mx • Name:

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

Blue marble speed measurment diagram rulers blue marble roll start blue marble stopwatch start blue marble stopwatch end wood block 30 centimeters

  1. __________ What level of measurement is the data?
  2. __________ Find the sample size n for the data.
  3. __________ Find the minimum.
  4. __________ Find the maximum.
  5. __________ Find the range.
  6. __________ Find the midrange.
  7. __________ Find the mode.
  8. __________ Find the median.
  9. __________ Find the sample mean x.
  10. __________ Find the sample standard deviation sx.
  11. __________ Find the sample coefficient of variation CV.
  12. __________ If this data were to be divided into five bins, what would be the width of a single bin?
  13. 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:
  1. Sketch a relative frequency histogram chart of the data anywhere it fits, labeling your horizontal axis and vertical axis as appropriate.
  2. ____________________ What is the shape of the distribution?
  3. ____________________ 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
  4. ____________________ Is the z-score for 60 cm/s an ordinary or unusual z-score?

Part II: Linear regression

Momentum P before vs. Momentum P after background rectangle major grid lines axes x-axis and y-axis coordinate labels for the circles below (248,235) (271,260) (272,266) (273,301) (277,254) linear regression line data points as circles text layers Momentum P before vs. Momentum P after 09/10/08 P before (g cm/s) P after (g cm/s) y-axis labels 235 242 248 255 261 268 275 281 288 294 301 x-axis labels 248 251 254 257 260 263 265 268 271 274 277

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)
248235
271260
272266
273301
277254
  1. __________ Does the relationship appear to be linear, non-linear, or random?
  2. __________ Calculate the slope of the linear regression for the data.
  3. __________ Calculate the y-intercept of the linear regression for the data.
  4. __________ If the momentum P before is 265 g cm/s, what is the predicted momentum P after?
  5. __________ If the momentum P after is 250 g cm/s, what is the predicted momentum P before?
  6. __________ Is the correlation positive, negative, or neutral?
  7. __________ Determine the correlation coefficient r.
  8. __________ What is the strength of the correlation: strong, moderate, weak, or none?
  9. __________ Determine the coefficient of determination r².
  10. __________ What percent of the variation in the momentum before explains the variation in the momentum after?