Equation that fits best in data is [tex]y = -30x + 4[/tex] .Although there are no options , kindly match this equation to options available!
Step-by-step explanation:
We are given a graph with y & x-axis , with 4 points given and best fit for data can be found out by joining points . On joining points , we see that best fit is a line . General equation of a line is : [tex]y = mx + c[/tex] ,
where m = slope of line & c = intercept.
Let's calculate slope m :
Consider any two given points , let's have ( 4,0) & (3,30) :
Slope = m
⇒ m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
⇒ m = [tex]\frac{0-30}{4-3}[/tex]
⇒ m = [tex]-30[/tex]
So , equation now becomes : [tex]y = mx + c[/tex]
⇒ [tex]y = -30x + c[/tex]
at x = 0 we have y = 4
[tex]y = -30x + c[/tex]
[tex]4 = -30(0) + c[/tex]
[tex]c = 4[/tex]
Therefore, equation that fits best in data is [tex]y = -30x + 4[/tex] .Although there are no options , kindly match this equation to options available!
