N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Scattergraphs Scattergraphs Exam Type Questions Constructing Scattergraphs

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 8cm 5cm 2cm 4cm

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.We are learning to interpret a Scattergraph. 1.Understand the Key- Points of a Scattergraph. Scattergraphs 2. Know the term positive and negative correlation.

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Scattergraphs Construction of Scattergraph Sam Jim Tim Gary Joe Dave Bob This scattergraph shows the heights and weights of a sevens football team Write down height and weight of each player.

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Scattergraphs Construction of Scattergraph x x x x x x Strong positive correlation x x x x x x Strong negative correlation When two quantities are connected we say there is a correlation between them.

(b) Why is there a dot at (0,0) ? Scattergraph Data was collected on fares charge by taxi company’s. (a) Is there correlation between height and weight. (c)How far could you travel for £13.00 ? About 5 to 6km Yes, a positive correlation No distance no charge ! (d)How much will it cost to travel 5km ? Between £10 and £13

(b)How many gloves sold at 20 o C ? Data was collected on the temperature and the sales of gloves ? (a)Is there correlation between height and weight. (c)Estimate gloves sold at 30 o C ? 6 pairs Yes, a negative correlation 8 pairs. (d)Estimate temperature when no gloves sold. 45 o C Scattergraph

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Now Try TJ N4 Lifeskills Exercise 1 Ch32 (page 254) Scattergraphs

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

N4 LS 14-Jun-16Created by Mr Lafferty Maths Dept Learning Intention Success Criteria 1.To construct and interpret Scattergraphs. 1.Construct and understand the Key-Points of a scattergraph. Scattergraphs Construction of Scattergraphs 2. Know the term positive and negative correlation.

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Scattergraphs Construction of Scattergraph x x x x x x Strong positive correlation x x x x x x Strong negative correlation Best fit line Best fit line When two quantities are strongly connected we say there is a strong correlation between them.

(a)Is there correlation between maths and physics scores. Scattergraphs Data was collected on pupils scores in Maths and Physics. (b)Draw in the best-fit line. (d)If you scored 80% for maths estimate your score for physics. 100% Yes, a positive correlation (c)Use your line to estimate the maths score if you score 60% in physics. About 45%

(b)Draw in the best-fit line. A survey was carried out on the number of hours spent studying and the number of questions answered incorrectly in the Maths SQA Exam. (a)Is there correlation between wrong answers and study hours. (d)If you study for 9 hours how many answers would you expect to get wrong. None ! Yes, a negative correlation Scattergraphs (c)Use your line to estimate the number incorrect answers for 2 hours study ? 14 questions Common sense more study better mark !

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Scattergraphs Construction of Scattergraph Is there a correlation? If yes, what kind? Age Price (£1000) S t r o n g n e g a t i v e c o r r e l a t i o n Draw in the best fit line

N4 LS 14-Jun-16Created by Mr. Lafferty Maths Dept. Now Try TJ N4 Lifeskills Exercise 2 Ch32 (page 256) Scattergraphs Construction of Scattergraphs Have you updated your Learning Log ?

14-Jun The scattergraph shows the age and mileage of cars in a garage. (a)Draw a line of best fit through the points on the graph. (b) Use your line of best fit to estimate the mileage of a 4 year old car.

14-Jun-16 Intermediate 1 Past Papers 1 A teacher records the number of absences and end of term test mark for each of her students. The scattergraph shows the results. (a)Draw a line of best fit through the points on the graph. ( b) Use your line of best fit to estimate the mark of a student who had 8 absences. 1

14-Jun (a)Draw a line of best fit through the points on the graph. (b) Use the graph to estimate the personal best time of a swimmer who swims 75 lengths in each training session. A group of swimmers record the number of lengths they swim in each training session. their personal best time (in seconds) for swimming 100 metres in competition. The scattergraph shows the results.