Question

A survey asks participants how many people are in their household and the number of pets they own. The table shows the results.

(screenshot of the table below, ignore question A.)

Question B) Use technology to find an equation of the line of best fit. Round the slope and the y-intercept to the nearest hundredth.

y=

Question C) Predict how many pets a household with 8 people will have.

Answer 1

The scatter plot for the data is attached below. The equation for the line of best fit is ; Y = 0.47x + 0.05.

The number of pets a household with 8 people would have is 4.

Using technology , equation for the line of best fit for the data is ;

• y = 0.47x + 0.05
• slope = 0.47 ; intercept = 0.05

The number of pets a household with 8 people will have is ;

• x = 8

substitute x = 8 into the equation;

y = 0.47(8) + 5

y = 3.81

Hence, the number of pets the household will have is 4.