# Questions tagged [self-study]

A routine exercise from a textbook, course, or test used for a class or self-study. This community's policy is to "provide helpful hints" for such questions rather than complete answers.

5,850 questions
3k views

### How to carry out a Likert scale analysis?

Context: My research aims to assess whether parents who have been involved in a relationship with a social worker are at higher risk of child abuse/neglect. I am trying to establish whether there ...
89 views

2k views

### Small sample linear regression: Where to start

FULL DISCLOSURE: This is homework. I have been provided with a small data set (n=21) the data are messy, looking at it in a scatterplot matrix provides me with little to no insight. I've been ...
2k views

### How to test for parallelism for two linear models?

I'm taking a graduate course in regression analysis and I'm suck on a particular homework question that should be very simple to me! I have the following model: ...
13k views

### Regression Proof that the point of averages (x,y) lies on the estimated regression line

How do you show that the point of averages (x,y) lies on the estimated regression line?
2k views

### Statistics Proof that $E[(X-Y)^2] = 0$

If X and Y are standardized variables and are perfectly positively correlated with respect to each other, how can i prove that $E[(X-Y)^2] = 0$?
2k views

### Finding marginal densities of $f (x,y) = c \sqrt{1 - x^2 - y^2}, x^2 + y^2 \leq 1$

As the title says, I'm looking for the marginal densities of $$f (x,y) = c \sqrt{1 - x^2 - y^2}, x^2 + y^2 \leq 1.$$ So far I have found $c$ to be $\frac{3}{2 \pi}$. I figured that out through ...
329 views

### Log graph question

So let's say you have a distribution where X is the 16% quantile. Then you take the log of all the values of the distribution. Would log(X) still be the 16% quantile in the log distribution?
3k views

### How should one approch Project Euler problem 213 (“Flea Circus”)?

I would like to solve Project Euler 213 but don't know where to start because I'm a layperson in the field of Statistics, notice that an accurate answer is required so the Monte Carlo method won't ...