4. Table C2-4 shows the total number of customer complaints
(relating to late delivery, damaged packaging, or product
quality/defects) reported and the total number of customer accounts
serviced for the past four years.
a. Show the scatter diagram and compute the covariance for the two
sets of values (treating the data as a population and compute and
interpret the correlation coefficient to see if there is a positive
or negative correlation between the variables.IN EXCEL
PLEASE.
Table C2-4: Customer Complaints and Customer Accounts Served | ||
Year | Total Customer Complaints | Total Accounts Served |
2013 | 98 | 130 |
2014 | 86 | 164 |
2015 | 62 | 193 |
2016 | 103 | 143 |
Scatter Plot
Covariance is computed using Excel function
COVARIANCE.P(Complaints data, Accounts Served
data)
Covariance = -357.125
Correlation Coefficient is computed using Excel function
CORREL(Complaints data, Accounts Served
data)
Correlation Coefficient = -0.947036378
Interpretation :
The absolute value of the correlation coefficient is closer to 1
implying the correlation is very strong
The correlation coefficient is negative implying the correlation is
negative
Thus there is a very strong negative correlation between
the variables.
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