I ask because this is a major hardware problem.
Unfortunately this symptom indicates a hardware problem,
specifically, it is the result of a bad printhead (or the logic board that controls it).
I would be surprised if it were being sold (legitimately) as new anywhere since it is such an old model at this point.
The head is a "wear item" that fails with age/use. As this is a 2011 model printer, it is well past its 3 year service life, so this type of failure is not surprising. Even if new, this component wears just from sitting in a warehouse for years.
There is one step you can take here, to clean and reset the system, but it is very unlikely to help. 99.9% of the time, this does come down to a hardware fault. These Kodaks are widely regarded as some of the worst printers ever made, they were very poorly designed and built and have very high failure rates. They were so bad that Kodak nearly went bankrupt supporting all the warranty claims, and stopped making inkjets entirely shortly after this model.
While it can be fixed, it is not worthwhile to do so. You would have to, at a minimum, replace the printhead, which costs about $60, A logic board would run you $200-250. For $80-100 you can replace the entire machine with a brand new model, with current technology and a fresh warranty, which makes more sense than buying the new part for an older printer.
Of course if it truly was new, then you may have some warranty recourse through kodak, but I honestly wouldn't even expect them to honor it at this point based on the age and being out of production for so long. Your best option may be to take it up with amazon to see if you can still file an AtoZ claim with them (if it was sold new). If you bought it used, you can really only chalk this up to it being an old and worn out printer at this point.
Depending how you'd like to proceed, I can advise on the cleaning/reset steps if you wish to try, help with finding parts, finding a local repair shop, or recommending replacement options for you. Just let me know.
Best regards, ***** ***** for the news,