Liner Regression

Question

Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y=mx+b�=��+�	x	1	2	3	4	5	6
y	94	115	141	158	182	200

Answer 1

So this came out kind of funny but I think it is a chart of x values and y values.

to find the slope of the line, we use the slope formula:

m=(y₂-y₁)/(x₂-x₁)

x and y should come from the corresponding pairs in the chart.

so let’s use points (1,94) and (5,182)

*these were not lined up so I am assuming these are the pairs that go together in the table

m = (182-94)/(5-1)

m= 88/4 = 22

then we use the point slope formula to find the slope intercept formula

point slope: (y - y₁) = m(x - x₁)

(y-94) = 22 (x - 1)

y - 94 = 22x - 22

solve for y:

y = 22x + 72