# Linear Relationships Assignment Help

Linear Relationships Assignment Help Sport scientists at XXX have been testing elite football players and want to know if there is a relationship between the back squat exercise and vertical jumping or forward sprinting. They want to do this to understand if they need to modify their training program to meet the specific needs of the elite footballers.

Explore the relationships between maximum back squat and the vertical jump, and 10m sprint exercises. Include in your exploration a discussion of the correlation between the two exercises.

## Steps to help answer the question

• Graph the data in Table 2.1 for each relationship in separate graphs
• Describe each relationship using an equation for a straight line. (Excel may be used but equations must be confirmed using hand calculations)
• Determine the correlation coefficient associated with each relationship
• Explain the differences between the relationships and any meaning you can draw from your data

## Useful information

Table 2.1: Relationship between weight lifted in a back squat and height (cm) of a vertical jump and time (seconds) for a 10 m sprint for 20 athletes.

 Weight lifted in one back squat (kg) Height in vertical jump (cm) Time (sec) for one 10m Sprint 110 48 2.14 127 54 1.90 115 53 2.19 125 55 1.88 150 58 1.58 180 65 1.43 145 59 1.56 135 62 1.76 130 56 1.90 176 56 1.48 130 55 1.86 176 62 1.44 155 57 1.51 130 54 1.79 118 52 2.01 112 50 2.11 135 57 1.88 120 55 1.95 146 63 1.66 127 54 1.88

The task asks you to explore the relationships between maximum back squat and the vertical jump, and 10m sprint exercises.

What you need to do here is produce scatterplots, plotting points for one variable against another, then describe the relationship apparent using a straight line, which you can fit to the scatterplot using Excel.

Question 2 (statistics)

What is the optimal age for a national leader?

Two political science students were discussing the age of one of Canada’s Prime Ministers, Joseph Clark, who happened to be less than 40 years of age. They discussed if there was a typical age for a national leader and if this varied between countries.

Compare the ages of the leaders of Australia and Canada. Comment on any similarities or differences from your findings.

## Steps to help answer the question

• Calculate the five number summary for each sample and display graphically. Excel can be used, but values should be confirmed by hand calculations.
• Use Excel to calculate a different measure of central tendency and its associated measure of spread for each sample.
• Compare the two samples using all measures calculated above and where possible comment on a typical age.

## Linear Relationships Assignment Help

##### Useful information

Table 3.1 Age (to the nearest year) of the past fifteen leaders of two countries.

 Australia Canada 55 54 60 40 57 57 68 45 56 46 63 47 56 48 45 47 53 51 48 47 57 46 50 55 49 43 56 60 61 52

Responses for questions 1, 2 and 3 below must each be written up in 3 sections, using the headings:

Getting started

• Analyse the problem to show your understanding of it.
• Interpret and give meaning to any numerical data given.
• Select a method of solution.

Calculations

• Perform the necessary calculations.
• Communicate the solution in a logically sequenced way

Conclusion

• Evaluate and analyse your results and method.
• Comment on any assumptions or limitations that affected your results.
• Justify the practicality of the method of solution
• Discuss alternative methods that could have been used
• Discuss the relevance to the real world

• All written descriptions must be in correctly structured sentences.
• Descriptions should be in formal language (e.g. third person -no use of I, me or us throughout).
• Figures and tables must be fully labelled and include headings.

Getting started

Analyse the problem to show your understanding of it. (In your own words, describe the problem, one or two sentences).

Interpret and give meaning to any numerical data given. (Describe any numbers, graphs/tables/charts etc. in the question).

Select a method of solution. (How will you calculate the answer).

Conclusion

Evaluate and analyse your results and method. (Answer the question in one or two sentences).

Comment on any assumptions or limitations that affected your results. (What are we assuming about the problem/situation? What limits our understanding of the question?).

Justify the practicality of the method of solution (Was the method you used useful? Easy to use? Practical? Why/Why not?).

Discuss alternative methods that could have been used (How else could you calculate the answer? Is there another way to find the answer?).

Discuss the relevance to the real world (How does this relate to everyday life?).