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An Analysis of the Maximum Temperatures for the Summer in
Decatur, Illinois
Change the above to represent the temperature and season that you're working
with.
Context of the data
Write the context of the data.
Graphs
Create the following graphs.
Pie Chart for how the day feels
Frequency Table for how the day feels
Histogram of Temperatures
Box Plot of Difference in Temperatures
Dot Plot of Normal Temperatures
Scatter Plot of Temperatures (y) vs Normal Temperatures (x)
Place the regression line on the plot. Look for any unusual observations.
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Descriptive Statistics
Descriptive Statistics for Temperatures
Include the sample size, mean, standard deviation, variance, minimum, 1 st quartile,
median, 3rd quartile, and maximum.
Graphical Summary for the Difference in Temperatures
Histogram of Temperatures centered at mean with each bar one standard
deviation wide
Standard Deviation Analysis
Complete the table and use it to determine whether or not the rules apply.
w/in 1 st dev
w/in 2 st dev
w/in 3 st dev
Percent of sample
Empirical Rule
approx 68%
approx 95%
approx 99.7%
Chebyshev's Rule not applicable
at least ¾
at least 8/9
Does the Empirical Rule apply?
Does Chebyshev's Rule apply?
Inferential Statistics
For each of the following, copy the output from Minitab and then decide whether
or not the results are too unusual to occur by chance alone.
Paired Samples t-test
Test the claim that recent temperatures are the same as the thirty year normal
temperatures.
One-Way ANOVA
Test the claim that the mean temperature each year is the same.
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Anderson-Darling Normality Test
Test the claim that the differences between the observed and normal temperatures
are normally distributed. Include a normal probability plot.
Goodness of Fit Test
Test the claim that days feel cold 25% of the time, normal 50% of the time, and
warm 25% of the time.
Correlation and Regression
Test the claim that there is no correlation between the temperatures and the normal
temperatures.
Perform regression with the response variable temperature and predictor variable
normal temperature.
Data
Display and copy the data here.