Answer:
I didn't Sanderstead sorry
Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
Answer:
(s +1)²(s +5)
Step-by-step explanation:
Factors of the first denominator are ...
s² +2s +1 = (s +1)²
Factors of the second denominator are ...
s² +6s +5) = (s +1)(s +5)
The least common denominator will be the product of the unique factors to their highest power.
LCD = (s +1)²(s +5)
I find it most useful to leave the denominator in this form. Your computer may require it be multiplied out.
LCD = (s² +2s +1)(s +5) = s³ +2s² +s + 5s² +10s +5
LCD = s³ +7s² +11s +5
Answer:
n = 2/3
Step-by-step explanation:
