STAT 515 Statistical Methods I (Spring 2026)

Dr. Karl Gregory

Class times: 10:05 - 11:20 am Tuesdays and Thursdays in Close-Hipp 502

Office hours: 1:00 - 2:00 pm Mondays and Wednesdays and 9:00 - 10:00 am Thursdays in LeConte College 216C.

TA office hour: Patrick Jin, 11:30 am - 12:30 pm and 2:30 - 3:30 pm on Tuesdays in LeConte College 111


syllabus


Slides Annotated R code eBook
Lec 1 Lec 1 annotated Basics of sets
Basics of probability
Lec 2 Lec 2 annotated Counting rules
Lec 3 Lec 3 annotated Conditional probability
Independence
Bayes' rule
Lec 4 Lec 4 annotated Random variables
Discrete random variables
Lec 5 Lec 5 annotated Rstudio
R code
Bernoulli and binomial distributions
Hypergeometric distribution
Sampling with versus without replacement
Lec 6 Lec 6 annotated Continuous random variables
Lec 7 Lec 7 annotated R code Normal distribution
End of Exam I material
Lec 8 Lec 8 annotated R code Poisson and exponential distributions
Lec 9 Lec 9 annotated R code Random sample
Mean of a random sample
Histogram
Variance of a random sample
Normal quantile-quantile plot
Central limit theorem
Sample proportion
Lec 10 Lec 10 annotated First confidence interval for a normal mean
Large sample confidence interval for a mean
Confidence interval for a proportion
Lec 11 Confidence interval for a normal variance
Lec 12 Revised confidence interval for a normal mean

z-table
t-table
chi-square-table


Upload pdf of homework in Blackboard by 11:59 pm on the due date.

Homework Topics Due Solutions
hw 1 Basics of sets, basic probability Thursday, Jan 22 hw 1
hw 2 Counting, conditional probability, Bayes' rule, independence Thursday, Jan 29 hw 2
hw 3 Random variables, expected value, variance, hypergeometric, binomial Tuesday, Feb 10 hw 3
hw 4 Binomial, Normal probabilities and quantiles, quantile-quantile plots Wednesday, Feb 18 hw 4
hw 5 Sampling distribution of mean from Normal population, Poisson, exponential Thursday, Mar 5 hw 5
hw 6 CI for mean with variance known, CI for variance, large-sample CI for mean/proportion Thursday, Mar 19


Exams Solutions
Exam I on Thursday, Feb 19th, One sheet of hand-written notes, one-sided, no calculators student solutions
scores vs attendance
Exam II on Tuesday, Apr 7th
Final Exam on Tuesday, May 5th, at 9:00 am


Fall 2021 Exams Solutions
Exam I Exam I sol
Exam II Exam II sol
Final Final


scatterplot showing pointwise confidence and prediction intervals in simple linear regression


Home