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Answer:
a)
We have a perfect linear relationship between the two variables
b)
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
c) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.
And the intercept 5 represent the minimum score expected for any game
Step-by-step explanation:
We have the following data:
Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score in the game (y) 5 8 11 14 17 20 23 26 29
Part a
The correlation coefficient is given:
For our case we have this:
n=9
We have a perfect linear relationship between the two variables
Part b
Where:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Part c
For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.
And the intercept 5 represent the minimum score expected for any game