Answer:
Option 4 - 53
Step-by-step explanation:
Given : 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.
To find : According to the line of best fit, about how many times would the coin land heads up in 100 flips?
Solution :
We create the table of coin fairness table
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
Now, using linear regression calculator,
We get the best line fit for the data
i.e, 
Now, for heads up in 100 flips we substitute x=100
Graphically we plot the equation and see the point at x=100
The point is (100,52.935)
Or approximately the coin land heads up in 100 flips is 53.
Therefore, Option 4 is correct.
Refer the attached figure.