Question

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 number of coin flips 0 10 20 30 40 50 60 70 80 90 number of heads up 0 7 12 18 23 30 35 38 42 45 according to the line of best fit, about how many times would the coin land heads up in 100 flips? 50 51 53

Explanation:

Step1: Calculate Σx, Σy, Σxy, Σx²

Σx=450, Σy=250, Σxy=15440, Σx²=28500

Step2: Compute slope (m)

m=(1015440 - 450250)/(10*28500 - 450²)=41900/82500≈0.508

Step3: Compute intercept (b)

b=(250 - 0.508*450)/10≈2.15

Step4: Predict for x=100

y=0.508*100 +2.15≈53

Answer:

53