Sample size: 30
Mean x (x̄): 2.5
Mean y (ȳ): 3.8
Intercept (a): 1.2
Slope (b): 1.01
Regression line equation: y=1.2+1.01x
Correlation Coefficient:0.58
What is the strength of your data? Weak positive correlation
Question 1 (x-values) - Number of game systems
Question 2 ( y- values) - Number of siblings that you have
Pick an x value from your data
Since my regression line is y = 1.2 x + 1.01 I am going to make a prediction to see How many siblings would you have if my family has 7 game systems.
Use your x value to predict your y value
y = 1.2 x + 1.01 x = 7
y = 1.2 (7) + 1.01
y = 9.41
Is this prediction reliable? Why or why not?
I can predict that if someone has 7 game systems they will also have approximately 9 siblings at a 63% chance of being accurate.