Find a linear model for the following data table. Round the slope to three decimal places.

A) $y = 3.721 x + 3.28$
B) $y = 3.279 x + 3.72$
C) $y = 3.721 x + 7$
D) $y = 7 x + 3.72$

Question

Find a linear model for the following data table. Round the slope to three decimal places.

A) $y = 3.721 x + 3.28$ 
B) $y = 3.279 x + 3.72$ 
C) $y = 3.721 x + 7$ 
D) $y = 7 x + 3.72$

Quizplus · Accepted Answer

We can use the formula for a linear model, y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula m = (y2 - y1)/(x2 - x1) where (x1, y1) and (x2, y2) are any two points on the line. Using the data table, we can choose the points (0, 3.28) and (1, 7.01) to get:

m = (7.01 - 3.28)/(1 - 0) = 3.721

Plugging this slope and the y-intercept (3.28) into the formula for the linear model, we get:

y = 3.721x + 3.28

Therefore, the best choice is A.

Find a Linear Model for the Following Data Table y=3.721x+3.28y = 3.721 x + 3.28y=3.721x+3.28

Find a Linear Model for the Following Data Table $y = 3.721 x + 3.28$