You try JMP trial version. Recently, you can use it within one month. But you understand top level of statistical software, Next, you check other free soft.
can you specify your question regarding the dimensions of Y (response) and X (set of covariates)? Are you looking for an statistical software that performs multivariate analysis in terms of a multivariate response (dim(y): n x k) or to handle multiple covariates in regression-type analysis (dim(y): n x 1, dim(x): n x p)?
Regarding JMP: this is really a good software, especially for planning and analysing experiments. However, I would be concerned of recommendations to drop variables into boxes and to expect all relevant information. Analysis should be somewhat more thoughtful.
In addition, reading Excel sheets and applying formats to variables is not a unique characteristic of JMP; this is handled by R, SAS or STATA too. However, you will need more knowledge of the respective language.
I use R and is a good free software. There are a lot of tutorials in youtube and materials in internet. Also you can use R commander for more tipical analysis so you don´t need the syntaxis.
I would say that R is the most flexible solution. It's totally free, there are lots of routines out there written by a very large community of experts and amateurs alike and if you decide to delve into it more than you need for a simple analysis, you get the extra benefit of developing your programming skills - something that is considered a must nowadays.
I also have one suggestion for software known as PAST (http://folk.uio.no/ohammer/past/). Its free, user friendly and most importantly relied by most of the well-impact journals. I wish one can try.
Well there are so many software to perform multivariate analysis, including PAST (https://folk.uio.no/ohammer/past/), XL STAT (https://www.xlstat.com/en/); it has 30 days free trail version. But the most popular and commonly used are SPSS, Minitab, R program and Python.