Question

The scatterplot shows the number of beach visitors and the average daily temperature. Based on the scatterplot, what is the best prediction of the number of beach visitors if the average daily temperature is 88°F?
A) 275
B) 350
C) 425
D) 500

Answer 1

Answer:

350

Step-by-step explanation:

We are given a scatter plot which t shows the number of beach visitors and the average daily temperature.

Now to find the best prediction of the number of beach visitors if the average daily temperature is 88°F

So, we will use two point slope form.

Taking two points from scatter plot :(84,225) and (92,450)

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(84,225)$

$(x_2,y_2)=(92,450)$

Substitute the values in the formula :

$y-225=\frac{450-225}{92-84}\left(x-84\right)$

where x is the temperature

y is the number of visitors

Now to find the best prediction of the number of beach visitors if the average daily temperature is 88°F , substitute x = 88

$y-225=\frac{450-225}{92-84}\left(88-84\right)$

$y=337.5$

Thus According to given options 350 is the right answer

Hence the best prediction of the number of beach visitors if the average daily temperature is 88°F is 350

Answer 2

Using the scatter plot, we can obtain the prediction for the number of beach visitors when the average daily temperature is 88°F by drawing a line of best fit which cuts through at least 3 points. When we do this we obtain the best estimate to be 350 visitors.
Answer: B] 350 visitors