lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads…
lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. the table shows her data. coin fairness test according to the line of best fit, about how many times would the coin land heads up in 100 flips? 48 50 51 53
Answer
Explanation:
Step1: Calculate the slope
Let (x) be the number of coin flips and (y) be the number of heads. We can use two points ((10,7)) and ((90,45)). The slope (m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{45 - 7}{90 - 10}=\frac{38}{80}=0.475)
Step2: Calculate the y - intercept
Using the point - slope form (y - y_1=m(x - x_1)), with ((x_1,y_1)=(10,7)) (y-7 = 0.475(x - 10)) (y-7=0.475x-4.75) (y = 0.475x+2.25)
Step3: Predict for (x = 100)
Substitute (x = 100) into (y=0.475x + 2.25) (y=0.475\times100+2.25) (y = 47.5+2.25=49.75\approx50)
Answer:
50