I'm regressing households' spending (PCE) on disposable income (PDI) between 1980 and 2018 for the U.S economy. I noticed that the coefficient of PDI is higher than 1. I first think that coeff. of PDI may be extreme due to possible autocorrelation or non-stationarity.
While conducting the ADF test, I tried the random walk, drift, and a trend.
However, according to the results of the test, PCE and PDI series are stationary with a drift.
I also applied the Gregory-Hansen cointegration test and find out that series are cointegrated in the long run at the breakpoint.
How can I solve this problem?