Mathematics Homework Help

Help me study for my Statistics class. I’m stuck and don’t understand.

I have attached the questions below, i just need help and explanation on how to solve these.

See attached image for question #1

2) Use the information from problem 1. Perform a complete test of the hypothesis that the population
correlation coefficient (ρ) is 0. Show all steps (note – obviously this should be a one sided test! Make sure you
know why!).

3) Now let’s assume you wanted to predict weights from heights. In other words, now let’s use the same data
from problem (1) and do a regression instead.

(a) Calculate b0 and b1.

(b) Carefully draw your least square regression line on the plot you made in 1(a). (Don’t just “sketch”,
be a little careful).

4)

(a) Now do a significance test of H0: β1 = 0. Show all your calculations (including your residual
calculations). Again, note that this should be a one sided test (why?).

(b) Compare your t
*
from 4(a) with your t
*
from problem 2. Are they the same? This is not a coincidence,
although once you do more complicated analyses, you can’t rely on this “equivalence”.