MATH 225N WEEK EIGHT LINEAR REGRESSION PREDICTION ASSIGNMENT COMPLETE SOLUTION SET 2026, Exams of Mathematical Modeling and Simulation

MATH 225N WEEK EIGHT LINEAR REGRESSION PREDICTION ASSIGNMENT COMPLETE SOLUTION SET 2026

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2025/2026

Available from 02/02/2026

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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
pf3
pf4
pf5

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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.

◉ 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. Ha:p>0. Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Answer: - 1. ◉ 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. ◉ 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. H0:X=11.2, Ha:X<11. ◉ 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. ◉ 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

(sample) proportion is within 5 percentage points of the true population proportion of customers who are males? Answer: 664 ◉ Liam wants to estimate the percentage of people who lease a car. He surveys 240 individuals and finds that 54 lease a car. Find the margin of error for the confidence interval for the population proportion with a 95% confidence level. Answer: 0. ◉ The number of square feet per house are normally distributed with a population standard deviation of 137 square feet and an unknown population mean. A random sample of 19 houses is taken and results in a sample mean of 1350 square feet. Find the margin of error for a 80% confidence interval for the population mean. Answer: 40. ◉ Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary school children and finds that 280 have a social media account. Identify the values needed to calculate a confidence interval at the 99% confidence level. Then find the confidence interval. Answer: p'=0. σp′ = 0. z α/2 = 2. (0.597, 0.643)

◉ The following dataset represents the number of registered students for 60 college courses, sorted and arranged in rows of 5. What is the 50th percentile of the data? Answer: 57 ◉ The population standard deviation for the heights of dogs, in inches, in a city is 7.9 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken? Answer: 6 0 ◉ The finishing time for cyclists in a race are normally distributed with an unknown population mean and standard deviation. If a random sample of 25 cyclists is taken to estimate the mean finishing time, what t-score should be used to find a 98% confidence interval estimate for the population mean? Answer: 2. ◉ Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical software. Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places. Answer: y=1.44x+3. ◉ Karen is studying the relationship between the time spent exercising per day and the time spent outside per day and has collected the data shown in the table. The line of best fit for the data is y^=0.16x+45.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables.