Yes. The residency question at the city level means where you live. Therefore, in your case, you would be a nonresident of East Lansing. and therefore your tax rate is 0.50%.
You will be filing Form EL-1040 as a nonresident. Only income earned in the city of East Lansing is taxable by East Lansing.
For more specifics, see these resources
2019 EL Form Instructions
2019 Form EL-1040
2019 Form EL-1040 Form Attachments
