PLEASE USE PYTHON METHOD The function y(x) represented by the data below has a maximum at x = 0.7692.  Compute this maximum by Nevilles interpolation over four nearest neighbor data points. x = 0, 0.5, 1, 1.5, 2, 2.5, 3 y = 1.8421, 2.4694, 2.4921, 1.9047, 0.8509, -0.4112, -1.5727

use spyder python if possible  answer using variables given in black photo

Please use best fit on python and show codes

Peform this in Python. Utilize vectorized calculations and not use any form of loops.  Make a data frame consisting of 20 and 10 columns. Eachcolumn j should consist of 20 values from a normal distribution with mean (j-1) and standard deviation 0.5j. For example, the third column should be normal(mean=2, sd=1.5). Using this data frame, do each of the following (using code, of course): Find the mean and standard deviation for each column. Write code that counts the number of columns for which the sample mean and sample standard deviation are within 20% of the values used to generate the data. Write code that writes the columns from part b to a new data frame. For each value in the new data frame, subtract its column mean and divide by the column standard deviation.