Exercise

# Correlation of offspring and parental data

In an effort to quantify the correlation between offspring and parent beak depths, we would like to compute statistics, such as the Pearson correlation coefficient, between parents and offspring. To get confidence intervals on this, we need to do a pairs bootstrap.

You have already written a function to do pairs bootstrap to get estimates for parameters derived from linear regression. Your task in this exercise is to make a new function with call signature `draw_bs_pairs(x, y, func, size=1)`

that performs pairs bootstrap and computes a single statistic on pairs samples defined. The statistic of interest is computed by calling `func(bs_x, bs_y)`

. In the next exercise, you will use `pearson_r`

for `func`

.

Instructions

**100 XP**

- Set up an array of indices to sample from. (Remember, when doing pairs bootstrap, we randomly choose indices and use those to get the pairs.)
- Initialize the array of bootstrap replicates. This should be a one-dimensional array of length
`size`

. - Write a
`for`

loop to draw the samples. - Randomly choose indices from the array of indices you previously set up.
- Extract
`x`

values and`y`

values from the input array using the indices you just chose to generate a bootstrap sample. - Use
`func`

to compute the statistic of interest from the bootstrap samples of`x`

and`y`

and store it in your array of bootstrap replicates. - Return the array of bootstrap replicates.