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In all measurements and calculations, magnitude (number) and units are always included.

Write the equation of the line including the appropriate units for each number.

Hint:
Linear equations are represented by (y=mx+b). The units for x and y are provided in the graph. The unit for slope m is based on dividing the unit of y by the unit of x. The last number in the equation is the y-intercept b which has the same unit as the vertical axis.

y = Ax+ B
A: -27.8 m/s
B: 97.4 m
RMSE: 5.59 m
r: -0.875
I need help please

Sagot :

the equation of the line allows us to find the answer is

            y = -27.8 t + 97.4

The equation of a line in a linear relationship between two variables, its general expression is

         y = A x + B

in this case the slope is the quantity that the independent variable in this case A = -27.8 m / s

The cut-off point that is the value of the dependent variable for x = is b = 97.4 m

In this case we see that the slope has a unit of [m / s] and the dependent variable is a unit of length, therefore the independent variable must have a unit of time [s] so that the entire equation is in units of length

          y = -27.8 t + 97.4

         [m] = [m / s] [s] + [m]

         [m] = [m]

The other two magnitudes with are necessary to write the equation r is the mean square root and gives an idea that the values ​​also fit the line, the best value is 1

In conclusion, the equation of the line allows us to find the answer is

            y = -27.8 t + 97.4

learn more about the equation inear here:

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