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- Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below. x1 x2 x3 x4 73 80 75 152 93 88 93 185 89 91 90 180 96 98 100 196 73 66 70 142 53 46 55 101 69 74 77 149 47 56 60 115 87 79 90 175 79 70 88 164 69 70 73 141 70 65 74 141 93 95 91 184 79 80 73 152 70 73 78 148 93 89 96 192 78 75 68 147 81 90 93 183 88 92 86 177 78 83 77 159 82 86 90 177 86 82 89 175 78 83 85 175 76 83 71 149 96 93 95 192 a) Perform a regression analysis with x4 as the response variable. Use x1, x2, and x3 as explanatory variables. Look at the coefficient of…It’s that time of year again when Grandma Kim is having a fundraiser for the church. Everyone is bringing something to sell and I am bringing brownies, cookies, and muffins. Each brownie contains 2 teaspoons of milk, 2 ounces of flour and 4 ounces of sugar. Each cookie contains 1.5 teaspoons of milk, 1 ounce of flour, and 3 ounces of sugar. Each muffin contains 1 teaspoon of milk, 2 ounces of flour, and 1.25 ounces of sugar. Currently, I have 48 teaspoons of milk, 81 ounces of flour, and 80 ounces of sugar. Then, each brownie is on sell for $5.00, each cookie is on sell for $3.00 and each muffin is on sell for $2.50. What is the maximum profit that will be made for the fundraiser? To find the solution pivot.Juan Hernandez, a Cuban athlete who visits the Unite States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffle bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each items are as follows. Items Weight (lb) Profit ($)1. Denim jeans 2 902. CD players 3 1503. Compact discs 2 30 Juan wants to determine the combination of items he should pack in his duffel bag that will maximize his profit. The problem is an example of a type of integer programming known as a "knapsack" problem. Formulate and solve this problem.
- Hi. Would anyone be so helpful and answer this question with an explanation on how to get to the answer? Thanks much. I've included a picture of the problem. I hope it suffices. ThanksPlease help. Imagine you can't remember the license plate of your car, but you know it starts with the letters RE and contains digits 4 and 5, like REX745 or REE544. How many different license plates match this description? Write your answer as the product of two numbers. Here a license plate contains 3 letters followed by 3 digitsAfter running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two-week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?
- The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 62000 cells. The FDA then tasks you with checking to see if this is accurate. You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 762004 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample. a. Why is the sampling distribution approximately normal? b. What is the mean of the sampling distribution? c. What is the standard deviation of the sampling distribution? d. Assuming…Pizza Gut sells only pizza. They offer five types of crust, five types of cheese, four meat toppings and four vegetable toppings. If you must order exactly one type of cheese, one meat topping and one vegetable topping on your pizza, how many different pizzas can you order at Pizza Gut?Please help me
- DO ALL PASRT PLEASE!!!!!!!!!!!A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…There was a box of biscuits on the table. Arianne and Betty ate half of the biscuits. Then Charlie came along and noticed the biscuits. He ate one-third of what was left in the box. Diana, who was waiting around nearby, decided to take one-fourth of the biscuits left in the box. Then Eddie came rushing up and took one biscuit to munch on while watching TV. When Fe looked at the box, she saw there were two biscuits left. How many biscuits were in the box to begin with.