Question

In: Statistics and Probability

An emergency service wishes to determine whether a relationship exists between the outside temperature and the...

An emergency service wishes to determine whether a relationship exists
between the outside temperature and the number of emergency calls it receives
for a 7-hour period. The data are shown. (25 points)
Temperature x 25 10 27 30 33
No. of calls y 7 4 8 10 11
a) Find the correlation coefficient r (If you use any software or online calculator, please
take the screenshot. You will get extra points if you do by hand.)

b) Find the regression equation (If you use any software or online calculator, please
take the screenshot. You will get extra points if you do by hand.)

c) Graph the regression equation. (If you use any software or online calculator, please
take the screenshot. You will get extra points if you do by hand.)

Solutions

Expert Solution

a) To find the correlation coefficient following table calculation is done as:

The correlation is calculated as:

So, the correlation is:

b) To calculate the regression following is calculated based on the previous table calculation as:

The regression coefficients (the slope m, and the y-intercept n) are obtained as follows:

So, the regression equation is:

c) The graph of the regression equation will be like:

orchestra answered 1 year ago
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