Answer :
The predicted percentage of adolescents having a cell phone in 2022 for state 13 if the percentage in 2012 was 25.3 is given as follows:
49.85.
How to obtain the predicted percentage?
From the image given at the end of the answer, we are given a table of the percentages from 2012 and from 2022, thus a linear regression equation is built from this table.
The points on the table are given as follows:
(11.9, 25.9), (15.3, 27.1), (16.8, 27.4), (19, 28.9), (21.1, 31.7), (21.3, 41.1), (21.4, 40), (21.5, 42), (22.1, 50.9), (24.6, 43.7), (28.7, 52.6), (30.8, 72.3).
Inserting these points into a linear regression calculator, the line of best fit is given as follows:
y = 2.335x - 9.23.
In which:
- x is the percentage in 2012.
- y is the predicted percentage for 2022.
Hence the predicted percentage for 2022 is given as follows:
y = 2.335(25.3) - 9.23 = 49.85.
Missing Information
The problem is given by the image shown at the end of the answer.
More can be learned about linear regression at https://brainly.com/question/29613968
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