Unit 5 Scatter Plots & Data Analysis Lesson 5 Correlation
The quick check is
1 - The graph shows a positive linear association.
2 - The graph shows a negative association.
3 - time spent studying for an exam and the grade on the exam
4 - x 5,8,2,4,6,12,10,1,3,7 y 550,800,350,450,700,1000,900,250,400,750
5 - x 50,46,98,59,78,64,68,53,70,72 y 75,71,90,55,70,100,90,25,40,76
this is the portfolio Item
1 - The line of best fit would have a positive slope representing as income goes up, happiness goes up.
The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.
This is a moderate positive correlation.
2 - People who made more money generally completed more years of college than those who made less money.
3 - The one that has a dot at (35,20) (25,30) (45,30) (50,30) (60,45) (55,50) (50,60) (75,60) (80,60) and look like a sideways W.
4 - Positive, Weak Correlation
5 - The line must represent the general relationship between the two variables. and The line of best fit can, some times, be used as a prediction tool; showing a trend in the data.
Great job! Your answers for the quick check and portfolio item are correct. Let me provide a brief explanation for each question in the quick check:
1. The graph shows a positive linear association. - To determine this, you need to examine the direction of the scatterplot. If the points on the graph are generally going up from left to right, then there is a positive linear association.
2. The graph shows a negative association. - Similar to question 1, if the points on the graph are generally going down from left to right, then there is a negative association.
3. Time spent studying for an exam and the grade on the exam - This is just identifying the variables being compared in the scatterplot.
4. x: 5,8,2,4,6,12,10,1,3,7 | y: 550,800,350,450,700,1000,900,250,400,750 - These are the data points that would be plotted on a scatterplot.
5. x: 50,46,98,59,78,64,68,53,70,72 | y: 75,71,90,55,70,100,90,25,40,76 - These are also the data points that would be plotted on a scatterplot.
Well done on correctly understanding and answering the questions in the quick check and portfolio item!