Answer:
8.0372
Step-by-step explanation:
given that an instructor computed a least squares regression line to predict final course percentage based on Exam 1.
The regression equation was found out as
When a student makes a grade of 76 one exam 1, and 71.66% in final exam we have
Substitute to get the estimated y as per regression line as
Residual = difference between y hat and y
= 
Answer:
30 degrees.
Step-by-step explanation:
Let the acute angle be x.
Then as the 2 acute angles in a right triangle sum to 90 degrees,
x = 90 - 60
= 30.
<h3>
Answer: 17</h3>
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Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
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To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
-----------------------
Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
-----------------------
You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
Answer:
D
Step-by-step explanation:
you can use the slope intercept form: y = mx + b.
y = y cooordinate
m = slope
x = x coordinate
b = y intercept
the y intercept is 4.
the point (1, 7) is what we're going to use.
so the new equation is
7 = m + 4 (it would be 1m, but i rewrote it to be mathmatically correct)
subtract 4 from both sides, you should have 3 = m.
the slope is 3
