Please find attached 10 questions of a practice exam. Solve and show work. Please use Latex or any other program for answers, if not, please show very clear hand writing! Studying materials is attached too.

I’m working on a algebra question and need support to help me understand better.

I’m working on a algebra question and need support to help me understand better.

Solve the following equations using u-substitution. Please show all your work for full

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Group Research Final Report. Guidelines. Statistics & Data Analysis. IE University. Prof. Alberto Sanz Final report should be a Google Collaboratory Notebook SHARED with all group members and with the PROFESSOR with EDIT permit. A typical research report may follow the structure below: Title. Include here authors, institutional links and e-mail. Abstract (Max. 200 words) Key words: (Typically 5 key words) Word count: Make explicit the extension (number of words) of your report, including footnotes and references. 

1. Introduction/research question: Introduce the topic of your interest. [Tip: A “funnel” approach, from general to specific concepts, tend to be useful. In such structure, the introduction typically converges into the Research question] You are expected to state a specific and explicit research question. “Why” questions tend to be good research questions.

2. Theory and Hypothesis. In this section you are expected to articulate a theoretical explanation of the phenomena to be studied. From these rationales you should deduct empirically testable hypothesis in the form “ if this (theoretical) argument is true, at least should be observed that H1: ……” [i.e.: H1. The older the customers, the higher their income.] Your design should consider from 5 to 9 hypotheses. 

3. Dependent Variable (DV) and Independent Variables (IIVV) Typically, the DV is a measurement of the phenomena you want to study, explain or predict. Many times the DV is implicit in -and can easily be deducted from- the research question. Typically independent variables are “measurements” of the factors that you consider that may play a role in the “explanation” or prediction of the DV. Independent Variables always have been mentioned in the hypotheses. Your design should consider from 5 to 9 Independent variables. 2 [Tip: If the nature of your research allows for it, it will be appreciated if you consider independent variables of different types of measurement:(nominal, ordinal and continuous) ] 

4. Data. In this section you should identify the specific dataset(s) that you will use to test your hypothesis. 

5. Results. In this section you should: Firstly, (5.1) describe the dependent variable and then the independent variables using the adequate numeric and graphic methods, up to the reporting standards seen in class. Secondly, (5.2) perform the adequate test of your hypotheses. [Tip: A short sentence containing a comment on each result is always appreciated] You are expected to produce adequate presentation of the results of this section. [Tip.: During the course we devoted time and presentations to professional presentation of our results. Review your lab work notes and the slides in order to find good examples of data presentation] 

6. Discussion and conclusion. In this section you should discuss your findings and question the theory presented above in the light of your data review and hypothesis testing. And then state your conclusions. 

1. Can the repeated-measures ANOVA technique in can be used to analyze a design with only one independent variable? Explain your answer in detail.

2. Is Tukey HSD test appropriate for data analyzed with a repeated-measures ANOVA? Explain your answer in detail.

Data Set 12-1

3. Calculate SS_tot using data set 12-1. Show all of your work.

4. Calculate SS_treat using data set 12-1. Show all of your work.

5. Developmental psychologists study children at different ages. In this study, the children were tested three times, at ages 5, 6 and 7. At each age, they worked a set of 25 problems. Each problem was a measure of the child’s understanding of the concept of conservation (the concept that quantity remains the same despite changes in shape). The scores below represent percentage correct on the set of 25 problems. Calculate a repeated-measures ANOVA, Tukey HSD tests, and write an interpretation.