Answer:
A) y-intercept = 1.8182
B) they would won 26 games
Step-by-step explanation:
In the figure attached the graph of the problem is shown. It was made in Excel. This kind of software, like scientific calculators, allows us to make regressions, that is, to find the curve (in this case, a line) that best fit the data.
Part A) From the equation, we can see that the y-intercept of the line is 1.8182
. It represents the numbers of games won without practise, that is, the number of months of practise are equal to zero.
Part B) In the plot we can see that the best fit is the equation:
y = 1.8545x + 1.8182
Points used to make the graph:
x, y
0, 1
1, 3
2, 5
3, 9
4, 10
5, 12
6, 13
7, 14
8, 17
9, 18
10, 20
The x-variable represents the Number of Months of Practice and the y-variable the Number of Games Won. To predict the number of games that could be won after 13 months of practice we have to replace x = 13 in the equation and compute y, as follows:
y = 1.8545*13 + 1.8182
y ≈ 26
So, they would won 26 games