ST362A/ST562A Regression Analysis Assignment 1
Due: Monday, September 27, 2021 (11:59pm Gradescope)
ST362A: Questions 1-6, with total 37 points.
ST562A: Questions 1-7, with total 43 points.
1. (10 points) Write a two-page letter-size summary on what you have learned from any
introductory statistics course such as ST230, ST231 etc. Both type or hand-written are
accepted.
Solution: skipped.
2. (5 points) Conduct a search and list some examples or applications of regression analysis
(minimum 2 examples).
Solution: skipped.
1
, 3. (5 points) We are interested in comparing the average supermarket prices of two leading
colas. Our sample was taken by randomly selecting eight supermarkets and recording the
price of a six-pack of each brand of cola at each supermarket. The data are shown in the
following table:
pop I pop2
Supermarket
1
Brand 1 Brand 2
$2.25 $2.30 piece
2 $2.47 $2.45
OO5
3 $2.38 $2.44 o OZ
4 $2.27 $2.29 O 06
5 $2.15 $2.25 o 02
6 $2.25 $2.25 10,10
7 $2.36 $2.42 0.00
o 06
8 $2.37 $2.40
O 03
Find a 90% confidence interval for the di↵erence in mean price of brand 1 and brand 2.
from the same
Solutions since each pair of prices
are not independent this is a paired
supermarket
we calculate a list ofdifferences
comparison Therefore
MIAN
I O 0375 Sd z_É
D 03807887 h d L
interval for the difference
The q of confidence
of Brand 1 and Brand 2 is
in mean price
•
d I TE n i
d
0 03807887
o 0375 II 1.894579
jg
0.0630655 0,0119934
So the go confidenceinterval for the difference in
0630655
mean price of brand 1 and brand is C
2 o
0.01199345
2
?⃝
Due: Monday, September 27, 2021 (11:59pm Gradescope)
ST362A: Questions 1-6, with total 37 points.
ST562A: Questions 1-7, with total 43 points.
1. (10 points) Write a two-page letter-size summary on what you have learned from any
introductory statistics course such as ST230, ST231 etc. Both type or hand-written are
accepted.
Solution: skipped.
2. (5 points) Conduct a search and list some examples or applications of regression analysis
(minimum 2 examples).
Solution: skipped.
1
, 3. (5 points) We are interested in comparing the average supermarket prices of two leading
colas. Our sample was taken by randomly selecting eight supermarkets and recording the
price of a six-pack of each brand of cola at each supermarket. The data are shown in the
following table:
pop I pop2
Supermarket
1
Brand 1 Brand 2
$2.25 $2.30 piece
2 $2.47 $2.45
OO5
3 $2.38 $2.44 o OZ
4 $2.27 $2.29 O 06
5 $2.15 $2.25 o 02
6 $2.25 $2.25 10,10
7 $2.36 $2.42 0.00
o 06
8 $2.37 $2.40
O 03
Find a 90% confidence interval for the di↵erence in mean price of brand 1 and brand 2.
from the same
Solutions since each pair of prices
are not independent this is a paired
supermarket
we calculate a list ofdifferences
comparison Therefore
MIAN
I O 0375 Sd z_É
D 03807887 h d L
interval for the difference
The q of confidence
of Brand 1 and Brand 2 is
in mean price
•
d I TE n i
d
0 03807887
o 0375 II 1.894579
jg
0.0630655 0,0119934
So the go confidenceinterval for the difference in
0630655
mean price of brand 1 and brand is C
2 o
0.01199345
2
?⃝
