Problem $1.$ You have collected data $($shown below$)$ from travel surveys about the number of recreational

trips a household takes in a month:

Perform a linear regression on the number of recreational trips made, using a $10\%$ significance level to

identify relevant variables.

On average, how many trips would you expect a household of four members to make in a given month,

assuming two of them are children under $12,$ one of them is a worker, they own two vehicles, and their

annual income is $$56,000?$

What is the effect on the number of recreational trips if the household size is increased by one?

Your supervisors are curious about the role household size and composition plays in recreational trip$-$

making. However, they haven't taken any courses in statistics or engineering $($that$\text{'}$s why they hired

you as a specialist!$).$ Answer their question without using any technical or mathematical language.