Note that the dependent variable evolve with the time. Independent variables that you consider are static for a certain period with the Likert’s Scale. Generally, time series data should go with another variable’s data that should also evolve with the time. Running a regression of a time series date with the Likert’s Scale could be biased, since there would be a problem of generalisation in research. The results can be meaningful only for one-time only for the period in which the data for independent and dependent variables are lying together.

However, if the independent variables are available with time-span of time-series dependent variable, the regression can be possible. But, there is something for thought that normally, measuring the Likert’s Scale variables with time-evolvement is difficult, because Likert’s Scale variables are subject to human perceptions. Hope this will help you to decide what to in your studies. Good luck.

The results can be meaningful only for one-time only for the period in which the data for independent and dependent variables are lying together.

Consider: is it possible to have a significant correlation between the rate of change in diesel prices for the period 1960-2018 (dependent variable) and the skills of the drivers (1- very bad ... 7 - professional, excellent skills). :) :) :)

If you are exploring the same population, on the same issues Likert’s Scale over a period of time.

There is a useful discussion here, see:

https://www.researchgate.net/post/What_statistical_analysis_should_I_use_for_Likert-Scale_data

https://stats.stackexchange.com/questions/85879/detecting-causality-in-likert-time-series-data

Good luck !

Thank you all for your comments and I agree with all. Just to give you a background, I asked the participants' perceptions if they think the independent variables i put together affected the dependent variable (1 - strongly disagree, ... , 3 - neither nor, ..., 5 -strongly agree). I then used a one sample t-test on the likert scale data only to see if the mean values are significantly different from the neutral value to make my conclusions. I hope the direction i am going is appropriate. Any more suggestions?

Hi Abel, Your way of analysis is good to know the uniqueness of the variable. How to do the single variable assessment with t/z-test can be available in the following paper. Just get on with the methodology for the same, since it is a marketing related paper. Hope this will help you. GL.

Article The Relationship of Brand Equity to Purchase Intention