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

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

Answer

Explanation:

Step1: Calculate x̄ and ȳ

x̄=45, ȳ=25

Step2: Compute slope m

m≈41900/82500≈0.5079

Step3: Find intercept b

b≈25 - 0.5079*45≈2.14

Step4: Predict for x=100

y≈0.5079*100 + 2.14≈53

Answer:

53