The number of assumptions made without good evidence (neither rain nor having a cable subscription is automatically more TV time - especially the presence of cable says nothing about how parents control their childs media diet and is just an indicator of wealth) and the blindness for alternative explainations for these supposed relationships.
They started from a typical armchair hypothesis and then looked for a way to interpret data to fit that hypothesis. That by itself is not remarkable, but the quality of the interpretation is questionable at best and outright malicious as worst.
They address the connection between rain and TV time in the article:
>The authors first use data from the American Time Use Survey to confirm the link between precipitation and television watching. The results suggest a strong relationship - a child under age 3 watches an average of 27 additional minutes of television on a day with one inch of precipitation (which is equivalent to a day of heavy rain) than on a day with no precipitation.
They started from a typical armchair hypothesis and then looked for a way to interpret data to fit that hypothesis. That by itself is not remarkable, but the quality of the interpretation is questionable at best and outright malicious as worst.