MATHEMATICS COLLEGE

Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and round your final answers to three decimal places. For subtractive or negative numbers use a minus sign. (Example: -300) y-intercept, b0 = Slope, b1 = MSE = One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?

Answers

Answer 1

Answer:

Answer:

a)The data shows a downward trend pattern

Step-by-step explanation:

See attached images

Answer 2

Answer:

Final answer:

In simple linear regression, the parameters for the line that minimizes the MSE can be found. To determine if a regression model suggests a goal is being met, compare predicted values to the goal value.

Explanation:

In simple linear regression analysis, the parameters for the line that minimizes the Mean Squared Error (MSE) can be found. The y-intercept (b0) and slope (b1) of the line can be calculated using the data. To determine if the regression model suggests that a goal is being met, you would compare the predicted values from the regression model to the goal value. If the predicted values are less than or equal to the goal value, then the goal is being met.

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes; mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?

Answers

Answer:

The range will be 103 because 148-45 = 103

The table gives the probability distribution of the annual rate of return on the stock of MNP Company, Inc. What is the expected value of the rate of return?

Answers

The expected value of the rate of return is 23.5%

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given is a table which gives the probabilitydistribution of the annual rate of return on the stock of MNP Company, Inc. We have to find out the expected value of the rate of return

Let X be the return and p probability

Then

X 15% 20% 30% 35% Total

p 0.2 0.4 0.3 0.1 1

x(p) 3 8 9 3.5 23.5

Hence Expected rate of return

E(x)= 23.5%

Hence, the expected value of the rate of return is 23.5%

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According to a medical journal, the average daily U.S. diet contains 6,000 mg of sodium. How many grams is this?

Answers

OK so for every gram it is 1,000 mg so the answer to your question will be for 6,000 mg it will be 6 grams.

An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day. Required:
How many additional wells should be drilled to obtain the maximum amount of oil per day?

Answers

Answer:

The additional wells for maximum amount of oil per day is 3 wells.

Step-by-step explanation:

Given;

initial number of wells, n = 6

total production, T = 1800

average production per well, = 1800/6 = 300 barrels per day

Let the additional well = y

total number of wells after optimization = 6 + y

new production per well = 300 - 25y

new total production = (6+y)(300-25y)

t = 1800 - 150y + 300y - 25y²

t = 1800 + 150y - 25y²

dt / dy = 150 -50y

for maximum value, dt/dy = 0

150 - 50y = 0

50y = 150

y = 150 / 50

y = 3

Therefore, the additional wells for maximum amount of oil per day is 3 wells.

Final answer:

By setting up the equation of the total daily oil production and finding its maximum, we learn that approximately 13 additional wells should be drilled to maximize the daily oil production.

Explanation:

To find out how many additional wells should be drilled to obtain the maximum

amount of oil

per day, we must firstly set up an equation to represent the situation. The total daily oil production is equal to the number of wells multiplied by the daily production per well. Given the conditions in the question, we can express this as:

Total daily oil production = (6 + x) * (1800 - 25x)

where x represents the number of additional wells that should be drilled. In order to find the maximum of this function, we would have to differentiate this equation and set the derivative equal to 0 then solve for x. This would be up to the individual's level of mathematical experience. However, one can use a financial calculator or a graphic calculator to find the maximum and get approximately 13 additional wells.