# Mathematics

## Calculate This Scenario

If I have two Products (Product A and Product B) and I want to ship these products to customers as follows:Product A (# of units: 4000)Product B (# of units: 4000)The products must be shipped through using Pallets.Each Pallet can hold 1000 units of Products A or 2000 units of Product B.Transportation cost for both Products (A and B) is the same. $1 dollar per pallet.Question: How many pallets I need to ship theses products? What is the final price the customer must for shipment?

## Probability Concepts

CHAPTER 5: A SURVEY OF PROBABILITY CONCEPTSVideo #29: How to build a contingency table with Pivot table (Length: 3:40)Video #30: How to use Permut and Combin formulas (3:47)Video #31: How to apply Bayes Theorem (Length: 4:33CHAPTER 6: DISCRETE PROBABILITY DISTRIBUTIONSVideo #32: How to build and graph discrete probability distribution (Length: 3:36)Video #33: How to apply binomial distribution (Length: 4:48)Video #34: How to apply hypergeometric distribution (Length: 4:41)Video #35: How to apply Poisson.dist (Length: 3:31)

## Apply Statistical

This assignment is intended to help you learn how to apply statistical methods when analyzing operational data, evaluating the performance of current marketing strategies, and recommending actionable business decisions. This is an opportunity to build critical-thinking and problem-solving skills within the context of data analysis and interpretation. Youll gain a first-hand understanding of how data analytics supports decision-making and adds value to an organization.Scenario:Pastas R Us, Inc. is a fast-casual restaurant chain specializing in noodle-based dishes, soups, and salads. Since its inception, the business development team has favored opening new restaurants in areas (within a 3-mile radius) that satisfy the following demographic conditions:Median age between 25 45 years oldHousehold median income above national averageAt least 15% college educated adult populationLast year, the marketing department rolled out a Loyalty Card strategy to increase sales. Under this program, customers present their Loyalty Card when paying for their orders and receive some free food after making 10 purchases.The company has collected data from its 74 restaurants to track important variables such as average sales per customer, year-on-year sales growth, sales per sq. ft., Loyalty Card usage as a percentage of sales, and others. A key metric of financial performance in the restaurant industry is annual sales per sq. ft. For example, if a 1200 sq. ft. restaurant recorded $2 million in sales last year, then it sold $1,667 per sq. ft.Executive management wants to know whether the current expansion criteria can be improved. They want to evaluate the effectiveness of the Loyalty Card marketing strategy and identify feasible, actionable opportunities for improvement. As a member of the analytics department, youve been assigned the responsibility of conducting a thorough statistical analysis of the companys available database to answer executive managements questions.Report:Write a 750-word statistical report that includes the following sections:Section 1: Scope and descriptive statisticsSection 2: AnalysisSection 3: Recommendations and ImplementationSection 1 – Scope and descriptive statisticsState the reports objective.Discuss the nature of the current database. What variables were analyzed?Summarize your descriptive statistics findings from Excel. Use a table and insert appropriate graphs.Section 2 – AnalysisUsing Excel, create scatter plots and display the regression equations for the following pairs of variables:In your report, include the scatter plots. For each scatter plot, designate the type of relationship observed (increasing/positive, decreasing/negative, or no relationship) and determine what you can conclude from these relationships.Section 3: Recommendations and implementationBased on your findings above, assess which expansion criteria seem to be more effective.Could any expansion criterion be changed or eliminated? If so, which one and why?Based on your findings above, does it appear as if the Loyalty Card is positively correlated with sales growth? Would you recommend changing this marketing strategy?Based on your previous findings, recommend marketing positioning that targets a specific demographic. (Hint: Are younger people patronizing the restaurants more than older people?)Indicate what information should be collected to track and evaluate the effectiveness of your recommendations. How can this data be collected? (Hint: Would you use survey/samples or census?)

## Regression Equation

Walden Attachment – Looking at the Excel output, and the Regression Equation they wrote out, interpret the slope of their Regression Equation. Use the Regression Equation to make a prediction and show the work for your predicted value based on your expression. For Example, if the attachment used Year to predict Price, plug in a Year value into the regression equation and use it to predict the Price of a vehicle. Does this predicted Price value make sense with their data? Jackson Attachment – It is important to remember that typically a two-factor regression model cannot accurately describe the entire situation. Look at the dependent variable on attachment. Name at least 2 independent factors you would use to run a Multiple Linear Regression (MLR) and explain why you feel they are related. Then use those factors to run a Multiple Linear Regression (MLR) on the attached data and see if the variables you chose are related to the dependent variable they chose. What is your MLR equation? Is your MLR significant? Are any of the Independent factors significant? What is the R2 value? Explain and interpret this value and how it relates to the MLR. Make sure you include your MLR Excel output as an attachment in your response post.

## Math Problem

On Saturday, Ashley planned to make pancakes for breakfast. To make 1 ½ batch of pancakes, she needs 2 1/3 cups of flour. There are 5 ¼ cups of flour in the kitchen. How much flour was left after she made the pancakes? For more information on Math Problem read this: https://en.wikipedia.org/wiki/Mathematical_problem

## Arithmetic and Algebra

A Psychology Professor is interested in understanding the variability in final exam grades for his 100-level freshman Psychology Statistics class. He hypothesizes that class absences would be negatively correlated with final exam grades and that the students pre-college levels of math proficiency would be positively correlated with final exam grades. He also hypothesizes that the relationship between absences and final grades would be moderated by levels of Math proficiency. The professor collects data for 35 students. Based on Placement Test Scores, obtained during pre-semester orientation/registration, 12 students had low (Developmental level) Math skills. Thirteen students were proficient in basic 9th-grade Arithmetic and Algebra only. And, 10 students had advanced Math skills at the Calculus level. Math levels were recorded as 1 = Low Math Skills; 2 = Moderate Skills, and 3 = High math skills. At the end of the semester, and for each student, the number of class absences was recorded, as were their final exam grades. Using the data appearing in the attached Week 3 Moderator Statistics Grades.sav SPSS data file, conduct a multiple regression analysis to examine the direct and interactive (moderator) effects of absences and Math level on final exam grades. Summarize the results using the correct APA style. Be sure to include the appropriate Tables and Graphs. Please use my sample summary for moderation as a guide for your summary. As youll see, my sample summary shows you what statistics to present and summarize in your papers, and how to present them in APA style format. Assignment Requirements. 1-Describe the sample, the goals of the study, and the variables employed to conduct the study 2-Describe the analysis strategy How will you analyze the data. 3-State the Null and Alternative Hypotheses 4-Conduct the multiple regression analysis in which grades is the DV (outcome), Math Levels, and Absences, as well as their centered interaction, are the IV (predictors). 5-Present and summarize the results for the Multiple Regression Analysis including the effects for both IVs as well as the interaction. 6-Conduct, present, and summarize the results for the simple slopes analyses for each level of Math proficiency. So, using the split file procedure in SPSS you must conduct 3 simple regression analyses in which the variable Grades is the DV (outcome) and Absences is the IV (predictor). 7-Create the appropriate table of results for the multiple regression analysis (you must refer to this table within the summary). 8-Create the appropriate table for the simple slopes analyses. 9-Create a simple slopes plot showing the regression of grades on absences for each Math level. You must refer to this figure within the summary. 10-Submit the summary as an MS-Word file, and please submit the SPSS output in a separate file. That way I can see the analyses that you ran. 11-Please carefully read my sample summary and model your summary after it. Also, you must read chapter 15 in the Warner text. 12-Please note that this analysis and summary must be your own original work, you may not share you work with any classmates. I created the practice data and sample summary as an in-class problem, and I encourage you with work together on the practice problem. But not on the graded assignment For more information on Arithmetic and Algebra read this: https://en.wikipedia.org/wiki/Arithmetic

## Correlation And Regression

If a regression analysis was to be completed on body mass index (BMI), what could be an independent variable in that analysis? Why? If we could, what other independent variables should be included in the analysis? What statistic(s) would show the value of that regression in understanding BMI? Alternatively, find an article that uses regression analysis to study a medical concern. In that study, what was the dependent variable, and what was the independent variable(s)? Further, how would you use this study to highlight the difference between correlations and causation? For more information on Correlation And Regression read this: https://en.wikipedia.org/wiki/Multiple_correlation

## Math Essay

What does ‘doing mathematics ethically’ mean to you? For more information on Math Essay read this: https://en.wikipedia.org/w/index.php?search=Math+Essay&title=Special%3ASearch&go=Go&ns0=

## Statistical Inference

Suppose that there are two candidates in the upcoming presidential election, candidate A and candidate B. Sara note that she has discussed the presidential election candidates with 15 friends, and 10 said that they are voting for candidate A. Sara is therefore convinced that candidate A will win the election because A gets more than 50 percent of votes. Answer the following questions in a Word document and submit: Based on what you now know about statistical inference, is Sara’s conclusion a logical conclusion? Why or why not? How many friend samples Sara should have in order to draw the conclusion with a 95 percent confidence interval? Why? How would you explain your conclusion to Sara without using any statistical jargon? Why? For more information on Statistical Inference read this: https://en.wikipedia.org/wiki/Statistical_inference

## Hyphotesis Testing

Initial Post Instructions Describe a hypothesis test study that would help your work or conclusions in some way. Describe what variable would be tested and what would be your guess of the value of that variable. Then include how the result, if the null were rejected or not, might change your conclusions or actions in some way. For more information on Hypothesis Testing read this:https://en.wikipedia.org/wiki/Statistical_hypothesis_testing

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