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Troyanec [42]
3 years ago
10

What is the linear function equation that best fits the data set?

Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0
To form an equation for a straight line, we need the value of gradient and the y-intercept

The formula to find gradient is \frac{S_{xy} }{ S_{xx} }

S_{xy}=∑(xy)- \frac{(∑x)(∑y)}{n}
S_{xy}= 111- \frac{(22)(56)}{8}
S_{xy}= \frac{1232}{8}=-43

S_{xx}=∑x^{2} - \frac{∑x}{n}
S_{xx}=75- \frac{22^{2}} {8}
S_{xx}=14.5

m= \frac{S_{xy}}{S_{xx}}
m= \frac{-43}{14.5}=-2.9≈-3

where m is the gradient

to find c (y-intercept)
c=mean of y-(m)(mean of x)= \frac{56}{8} -(-3)( \frac{22}{8})=15.25≈15

Hence the equation of the straight line is y=-3x+15
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Step-by-step explanation:

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The monthly cash inflow is $273.6

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