No, your 16 year old student does not have to file a Michigan return.
Michigan Department of Treasury "...You must file a Michigan Individual Income Tax return if you have income that would be included in federal adjusted gross income that exceeds your allowed Michigan exemption allowance(s). Note: For the 2018 tax year, each Michigan personal and dependent exemption allowance is $4,050 plus $2,700...".
The link below provides information on Michigan filing requirements that you may find useful.
https://www.michigan.gov/taxes/0,4676,7-238-75545_43715---,00.html
No, your 16 year old student does not have to file a Michigan return.
Michigan Department of Treasury "...You must file a Michigan Individual Income Tax return if you have income that would be included in federal adjusted gross income that exceeds your allowed Michigan exemption allowance(s). Note: For the 2018 tax year, each Michigan personal and dependent exemption allowance is $4,050 plus $2,700...".
The link below provides information on Michigan filing requirements that you may find useful.
https://www.michigan.gov/taxes/0,4676,7-238-75545_43715---,00.html