you should solve this by equation, but you can check your answer by using a calculator.
one such calculator can be found here:
http://www.alcula.com/calculators/statistics/linear-regression/
enter your data as:
0 1 2 3 4 5
93 90 79 66 60 56
click on SUBMIT DATA to see your linear regression graph
click on correlation to see what the correlation factor is
click on scatter plot to see what the data looks like without the regression line.
working it by using the formulas is a lot more labor intensive.
those formulas and how to use them are shown in the following references
http://easycalculation.com/statistics/learn-regression.php
http://easycalculation.com/statistics/learn-correlation.php
based on those formulas, i created a table in excel that shows you what the data would look like applied to your problem.
that table is shown below:
x values y values x*y x^2 y^2
0 93 0 0 8649
1 90 90 1 8100
2 79 158 4 6241
3 66 198 9 4356
4 60 240 16 3600
5 56 280 25 3136
based on that data the important parameters have been calculated to be:
sum of x y x*y x^2 y^2
equals 15 444 966 55 34082
n >>> 6
slope = -8.228571429
y-intercept = 94.57142857
correlation = -0.983101215
regression equation is y = mx + b
m = slope and b = y-intercept
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these numbers should agree with what you derive using the online calculator taking into account rounding to a comparable number of digits to the right of the decimal point.
the mean of x is equal to 15/6 = 2.5
the mean of y is equal to 444/6 = 74