Introduction to Statistical Reasoning
Instructor: Ivo Dinov, Asst. Prof.
Departments of Statistics & Neurology
Friday, Wed. 20, 2002, turn in after lecture
HW submission rules
. On the front page include the
(HW_4_1) Can an estimator be unbiased, but imprecise? For the following data what
is an unbiased estimator of the population mean? Compute the corresponding
estimate [the sample average] and its precision [
- (HW_4_2) Compute the correlation coefficient, R(X,Y)
, for the following data. Please do this by hand and show all of your
work. Find a linear equation which describes the best linear regression fit
(least squares fit) of Y on X.
- (HW_4_3) Find the equation of the line, l1,
passing through the points (-3, 5) and (1, 2). Identify the slope,
m1, and Y-intercept, b1, of the
line. A line, l2, is perpendicular to l1 if
its slope is -1/m1. Find the equation
of the line, l2, perpendicular to l1, which
goes through the point (X=0, Y=3). What are l2's slope,
m2, and Y-intercept, b2?
\Ivo D. Dinov, Ph.D., Departments of Statistics and Neurology, UCLA School