MATH 225N WEEK EIGHT LINEAR REGRESSION
PREDICTION ASSIGNMENT COMPLETE
SOLUTION SET 2026
◉ In which of the following situations can multiple regression be
performed? Select all that apply. Answer: - predicting the current salary
of an employee, given the initial salary and the number of years the
employee has been in his or her current position
- predicting the number of home runs a baseball player will hit in the
next season, given the number of home runs the player hit in the
previous season and the number of doubles the player hit in the previous
season
◉ Timothy wants to estimate the mean number of siblings for each
student in his school. He records the number of siblings for each of 75
randomly selected students in the school. What is the statistic? Answer:
the mean number of siblings for the randomly selected students
◉ Which of the following results in the null hypothesis μ=38 and
alternative hypothesis μ<38? Answer: A fitness center claims that the
mean amount of time that a person spends at the gym per visit is fewer
than 38 minutes.
◉ If A and B are independent events with P(A)=0.4 and P(B)=0.5, find
P(A AND B). Answer: 0.2
, ◉ A teacher claims that the proportion of students expected to pass an
exam is greater than 80%. To test this claim, the teacher administers the
test to 200 random students and determines that 151 students pass the
exam.
The following is the setup for this hypothesis test:
H0:p=0.80
Ha:p>0.80
Find the test statistic for this hypothesis test for a proportion. Round
your answer to 2 decimal places. Answer: -1.59
◉ On average, Cameron has noticed that 15 trains pass by her house
daily (24 hours) on the nearby train tracks. What is the probability that at
most 6 trains will pass her house in a 11-hour time period? (Round your
answer to three decimal places.) Answer: 0.468
◉ The answer choices below represent different hypothesis tests. Which
of the choices are left-tailed tests? Select all correct answers. Answer:
H0:X=19.7, Ha:X<19.7
H0:X=11.2, Ha:X<11.2
◉ Find the area to the right of the z-score 1.40 and to the left of the z-
score 1.58 under the standard normal curve. Answer: 0.0237
◉ Tanya loves to walk in the park everyday after work. Given the
frequency table below for a list of miles walked daily over the past few
PREDICTION ASSIGNMENT COMPLETE
SOLUTION SET 2026
◉ In which of the following situations can multiple regression be
performed? Select all that apply. Answer: - predicting the current salary
of an employee, given the initial salary and the number of years the
employee has been in his or her current position
- predicting the number of home runs a baseball player will hit in the
next season, given the number of home runs the player hit in the
previous season and the number of doubles the player hit in the previous
season
◉ Timothy wants to estimate the mean number of siblings for each
student in his school. He records the number of siblings for each of 75
randomly selected students in the school. What is the statistic? Answer:
the mean number of siblings for the randomly selected students
◉ Which of the following results in the null hypothesis μ=38 and
alternative hypothesis μ<38? Answer: A fitness center claims that the
mean amount of time that a person spends at the gym per visit is fewer
than 38 minutes.
◉ If A and B are independent events with P(A)=0.4 and P(B)=0.5, find
P(A AND B). Answer: 0.2
, ◉ A teacher claims that the proportion of students expected to pass an
exam is greater than 80%. To test this claim, the teacher administers the
test to 200 random students and determines that 151 students pass the
exam.
The following is the setup for this hypothesis test:
H0:p=0.80
Ha:p>0.80
Find the test statistic for this hypothesis test for a proportion. Round
your answer to 2 decimal places. Answer: -1.59
◉ On average, Cameron has noticed that 15 trains pass by her house
daily (24 hours) on the nearby train tracks. What is the probability that at
most 6 trains will pass her house in a 11-hour time period? (Round your
answer to three decimal places.) Answer: 0.468
◉ The answer choices below represent different hypothesis tests. Which
of the choices are left-tailed tests? Select all correct answers. Answer:
H0:X=19.7, Ha:X<19.7
H0:X=11.2, Ha:X<11.2
◉ Find the area to the right of the z-score 1.40 and to the left of the z-
score 1.58 under the standard normal curve. Answer: 0.0237
◉ Tanya loves to walk in the park everyday after work. Given the
frequency table below for a list of miles walked daily over the past few
