Question

7 formula 2 points
find a linear model using your calculator (stat) that fits the data in the table.

x	y
6	18.4
9	19.2
14	20.6

what is the slope of the linear model?
round your answer to two decimal places.
answer

Explanation:

Step1: Recall slope formula

The slope formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can use two - point form. Let's take the first two points $(x_1,y_1)=(6,18.4)$ and $(x_2,y_2)=(9,19.2)$.

Step2: Calculate the slope

Substitute the values into the formula: $m=\frac{19.2 - 18.4}{9 - 6}=\frac{0.8}{3}\approx0.27$.

Answer:

$0.27$