Question

The table represents the liner relationship between the number of dogs in a household and the cups of food eaten per week. Calculate the line of best fit to predict the number of cups of food eaten by 8 dogs.

Answer 1

The predicted number of cups of food eaten by 8 dogs is 76

The line of best fit is y = 2.33x + 57.11

How to predict the number of cups of food eaten by 8 dogs.

From the question, we have the following parameters that can be used in our computation:

The scatter plot

From the line of fit on the scatter plot, we have

(33, 134) and (42, 155)

The slope (m) of the line is

m = (155 - 134)/(42 - 33)

m = 2.33

A linear equation is represented as

y = mx + c

So, we have

y = 2.33x + c

Using the point (33, 134), we have

2.33 * 33 + c = 134

76.89 + c = 134

c = 134 - 76.89

c = 57.11

So, we have

y = 2.33x + 57.11

Predicting the number of cups of food eaten by 8 dogs.

y = 2.33 * 8 + 57.11

y = 75,75

Approximate

y = 76

Hence, the number of cups is 76