Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
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