MATH 225N WEEK 7 LAB ASSIGNMENT BUNDLED SET 2026 COMPLETE ANSWER KEY, Exams of Mathematical Modeling and Simulation

MATH 225N WEEK 7 LAB ASSIGNMENT BUNDLED SET 2026 COMPLETE ANSWER KEY

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2025/2026

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MATH 225N WEEK 7 LAB ASSIGNMENT
BUNDLED SET 2026 COMPLETE ANSWER KEY
โ—‰ b) Describe the overall pattern of the distribution and any
departures from that pattern. Answer: Skewed right with gaps
between 3 & 4.4 and from 6.2 to 7.5. The spread is from 1.1 to 7.5.
There appears to be one outlier 7.5. The center is about 2.4.
โ—‰ The fraction of the variation in the values of y that is explained by
the least-squares regression of y on x is... Answer: the square of the
correlation coefficient
โ—‰ 5. In addition to the regression line, the report on the Mumbai
measurements says that r^2 = 0.95. This suggests that Answer: 95%
of the variation in height is accounted for by the regression line
โ—‰ Acid rain question
Identify the slope of the line and explain what it means in this
setting Answer: -0.0053. For each additional week in the study, the
predicted pH decreased by 0.0053 units.
โ—‰ Acid rain question
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MATH 225N WEEK 7 LAB ASSIGNMENT

BUNDLED SET 2026 COMPLETE ANSWER KEY

โ—‰ b) Describe the overall pattern of the distribution and any departures from that pattern. Answer: Skewed right with gaps between 3 & 4.4 and from 6.2 to 7.5. The spread is from 1.1 to 7.5. There appears to be one outlier 7.5. The center is about 2.4. โ—‰ The fraction of the variation in the values of y that is explained by the least-squares regression of y on x is... Answer: the square of the correlation coefficient โ—‰ 5. In addition to the regression line, the report on the Mumbai measurements says that r^2 = 0.95. This suggests that Answer: 95% of the variation in height is accounted for by the regression line โ—‰ Acid rain question Identify the slope of the line and explain what it means in this setting Answer: - 0.0053. For each additional week in the study, the predicted pH decreased by 0.0053 units. โ—‰ Acid rain question

Identify the y intercept of the line and explain what it means in this setting Answer: 5.43. The predicted pH level at the beginning of the study (weeks=0) is 5.43. โ—‰ Acid rain question According to the regression line, what was the pH at the end of this study? Answer: 4. โ—‰ 4. You use the same bar of soap to shower each morning. The bar weighs 80 grams when it is new. It's weight goes down by 6 grams per day on average. What is the equation of the regression line for predicting weight from days of use? Answer: Predicted weight= 80- 6x (x=days) โ—‰ What is the correlation r for this data set? Answer: 0. โ—‰ Question 5) After a frost warning was issued, the owner of a large orange grove asked his workers to spray all his trees with water. The water was supposed to freeze and form a protective covering of ice around the orange blossoms. Nevertheless, the owner suspected that some trees suffered considerable damage due to the frost. To estimate the proportion of trees that suffered more than 50 percent damage due to the frost, he took a random sample of 100 trees from his grove. What is the response variable in this experiment? Answer: For each sampled tree, whether it suffered more than 50 percent damage or at most 50 percent damage

โ—‰ If we select a student from the school at random, what is the probability that the student is: Female? Answer: 0. โ—‰ If we select a student from the school at random, what is the probability that the student is: b) someone who eats breakfast regularly? Answer:. โ—‰ If we select a student from the school at random, what is the probability that the student is: a female and eats breakfast regularly? Answer: โ—‰ The height of American men aged 18 to 24 are approximately normal with a mean of 68 inches and a standard deviation of 2. inches. About 20% of these men are taller than. Answer: 70 inches โ—‰ The scores on the real estate licensing examination given in a particular state are normally distributed with a standard deviation of 70. What is the mean test score if 25% of applicants score above 475 Answer: 428

โ—‰ The expected profit when playing the raffle is: Answer: 585 โ—‰ What is the standard deviation of the weights of the packed boxes? Answer: 2. โ—‰ Find the mean and standard deviation if the results of the two dice are added. Answer: B) = 9, = 3. โ—‰ Section 6.3 MC: Determine the probability that the coin comes up tails AT LEAST 15 times. Answer: D) 0. โ—‰ Section 6.3 MC: Geometric settings... Answer: B) do not have a fixed number of trials โ—‰