Question

Write the equation for the line of best fit

Answer 1

Given:

The given graph shows the scatter points.

We need to determine the equation for the line of best fit.

Slope of the equation:

From the figure, it is obvious that the slope of the line is $m=2.33$

Rounding off to the nearest tenth, we get;

$m=2.3$

Thus, the slope of the equation is $m=2.3$

Value of y - intercept:

From the figure, it is obvious that the y - intercept is $b=33.153$

Rounding off to the nearest tenth, we get;

$b=33.2$

Thus, the y - intercept of the equation is $b=33.2$

Equation of the line:

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting $m=2.3$ and $b=33.2$, we get;

$y=2.3x+33.2$

Thus, the equation for the line of best fit is $y=2.3x+33.2$

Answer 2

Answer:

y = 2.3x + 33.2

Step-by-step explanation:

Slope: 2.33

Nearest tenth: 2.3

y-intercept: 33.153

Nearest tenth: 33.2

y = 2.3x + 33.2