MA-250 Probability and Statistics

Added on - 11 Sep 2021

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Predicting number of patient
smokers
by
MA 250 Statistics
Columbia College
Fall 2018
1.How many data itemswere in your data set?
Answer
There are 32 data items. This is based on the count
2.Determine theMean
Answer
Mean=xi
n=15.7+13.2+22.6+...+13.1+20.7+15.5
32=474.7
32=14.83438
3.Determine theMedian
Answer
Median=16thvalue+17thvalue
2=14.6+14.7
2=29.3
2=14.65
4.Determine theMode(if one exists)
Answer
Mode = the most frequent value
Mode=7
5.Sortthe data anddraw a labeled scatterplotof the data
Answer
6.Determine theequation of the line of best fitof the sorted data anddrawits graphon
the data set (#5 & #6 should be on the same graph)
Answer
The line of the best fit is obtained as follows;
y=7.42+0.4494x
7.Determine thecorrelation coefficient
Answer
The correlation coefficient is given as;
R=R2=0.9666=0.9832
8.How good a fitis the regression line to the actual data?
Answer
Since the coefficient of determination is 0.9666; this implies that 96.66% of the variation
in the dependent variable (number of patients who quit smoking) is explained by the year
(independent variable). Thus we can conclude that the regression line is very good in
fitting the actual data.
9.Interpret the meaning of the slopeof the regression line or explain why it has no
meaning.
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