In physical science laboratory six
the students measured the distance d in cm a marble of mass m would roll after being released from a ramp at a constant height h. All groups chose to roll the marble multiple times and take the average of the marble distance d.
d (cm)
180
180
190
190
200
200
220
230
230
230
230
230
230
230
240
__________ 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.
21.31 Freebie: This is the standard deviation sx.
If you obtain a different value, then you typed in the wrong data!
Calculate the standard deviation sx and check for agreement.
__________ Find the sample coefficient of variation CV.
__________ If this data were to be divided into six classes, what would be the width of a single class?
Determine the frequency and calculate the relative frequency using six classes.
Record your results in the table provided.
distance CUL (cm)
Frequency (f)
Relative Frequency
Sum:
Sketch a 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?
p(d = 230) = ____________________ What is the probability a marble will roll 230 cm?
____________________ Use the sample mean x and standard deviation sx calculated above to determine the z-score for a marble that rolled at 173 cm.
____________________ Is the z-score for 173 cm an ordinary or unusual z-score?
____________________ Based on the z-score, would a 173 cm roll be considered an outlier?
Part II: Linear regression
In physical science laboratory six
the students measured the distance d a marble of mass m would roll after being released from a ramp at a constant height h. The following table contains mass m versus average distance d data for four marbles.
Type
mass (g)
dist (cm)
ball bearing (BB)
0.4
18
small marble
1.8
125
marble
5.6
214
shooter
19.4
318
__________ Calculate the slope of the linear regression for the data.
__________ Calculate the y-intercept of the linear regression for the data.
__________ Use the slope and intercept to predict the distance d
that a marble with a mass m of 1.1 g would roll.
__________ Use the slope and intercept to predict the mass m
that would produce a distance d of 303 cm.
__________ Does the relationship appear to be linear, non-linear, or random?
__________ 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 mass m
explains the variation in the distance d?
__________ Does the linear regression line look like a good predictor of distance for masses significantly larger than 20 grams?