Question

1. the table shows how many holes the coyote falls in per episode on the roadrunner cartoon: a) make a scatter plot b) draw a line of best fit c) write an equation of the line of best fit, using calculator d) predict the number of holes in 10 episodes

total episodes|total holes
1|2
3|5
4|7
6|13

1. the table shows how many diet cokes ms lucero drank last week: e) make a scatter plot f) draw a line of best fit g) write an equation of the line of best fit, using calculator h) predict the number of holes in 10 episodes

total days|total cokes
1|0
3|5
4|9
6|11

Explanation:

Step1: Calculate slope $m$

$m=\frac{\sum_{i = 1}^{n}(x_i-\bar{x})(y_i - \bar{y})}{\sum_{i = 1}^{n}(x_i-\bar{x})^2}$, with $x$ as episodes and $y$ as holes. For points $(1,2),(3,5),(4,7),(6,13)$: $\bar{x}=\frac{1 + 3+4+6}{4}=3.5$, $\bar{y}=\frac{2 + 5+7+13}{4}=6.75$. After calculations, $m = 2.1$.

Step2: Calculate y - intercept $b$

Use $y=mx + b$ and a point, say $(1,2)$. $2=2.1\times1 + b$, so $b=- 0.1$.

Step3: Predict for 10 episodes

Substitute $x = 10$ into $y=2.1x-0.1$, $y=2.1\times10-0.1 = 20.9\approx21$.

Answer:

21