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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. According to the line of best fit, about how many times would the coin land heads up in 100 flips? 48 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 According to the line of class=

Respuesta :

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, [tex]y = 0.5079x + 2.1455[/tex]

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.

Ver imagen tardymanchester

Lydia does an experiment and according to the line of the best fit, the coin will land 53 times heads up if flipped a 100 times.

What is an experiment?

An experiment is a procedure undertaken to make a discovery to demonstrate a known fact.

According to the line of best fit, to find out how many times the coin will land head up in a 100 flips, we would create a fairness table:

  • Number of times coins are flipped: 0, 10, 20, 30, 40, 50, 60, 70, 80, and 90.

  • Number of times head up: 0, 7, 12, 18, 23, 30, 35, 38, 42, and 45.

The best fit for the data using linear regression is:

  • Y= 0.5079x + 2.1455

In heads up for 100 flips, we substitute X=100 and graphically, we plot the equation at this point which is X=100, which will give 52.935.

Approximately, 53.

Therefore, the head up in 100 flips is 53 and the correct answer is option D.

Learn more about experiment here:

https://brainly.com/question/4323710

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