0.376*800
=(0.376*8)*100
=3.008*100
=300.8
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.
343 = 7*7*7, so the square root is 7*sqrt(7), because there is one 7 left in the square root after taking out the other 2.
Final answer:
7*sqrt(7), or about 18.52
Hope I helped :)
Ok Use PEMDAS Since 8 and 6 is in pharenthesis you do that first which equals 5+4x2^2 Then you do Exponents which is 2^2 that equals 4 so that means you have 5+4x4 No you multiply 4x4 which equals 16 And now add 5 That will make 21
