Probability and Statistics |
Study Guide, Practice
Questions & Exam
Review
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, Stem Plot (stem-and-leaf plot) 5-number summary (max, Q1, median, Q3, max)
Smaller data sets; useful to display distributions and
potential outliers; has the advantage that it keeps data
values displayed. (quantitative)
Box Plot 5-number summary (max,
Q1, median, Q3, max) Larger data sets; shows the
5-number summary, shows spread; ignores individual
data values and the number of values (allowing to
compare sets of different sizes)
Histogram Based on the shape of the
distribution, uses mean + standard deviation OR
median + IQR to describe center and spread
Larger data sets; shows shapes of distribution and
potential outliers; ignores the individual data values
slope-intercept form y = mx + b, where m is slope of the line and b is the y-intercept.
Standard Deviation Rule: (68-95-99.7 Rule)
68% of the data is within 1 standard deviation of the mean.
95% of the data is within 2 standard deviations of the mean.
99.7% of the data is within 3 standard deviations of the mean
positive correlation scatterplot reveals an "uphill trend." As the explanatory variable increases, the
response variable increases.
Negative Correlation scatterplot reveals a "downhill trend." As the explanatory variable increases, the
response variable decreases.
No Correlation scatterplot reveals no trend between the variables
Correlation Coefficient (r) measures the direction and strength of the linear relationship between the
variables.
The closer r is to +1, the stronger the positive correlation.
The closer r is to -1, the stronger the negative correlation.
The closer r is to 0, the weaker the correlation.
y=-0.082x+11 Using the linear regression we can predict that the monthly rent, y, for a home
50 miles from the center will be about: 𝑦=−0.082(50)+11=−4.1+11=6.9 or $690.