Hello!
The y intercept of the parabola is when one of it's function's hits/intersects the y axis. The y intercept of the parabola y = x^2 is (0,0).
You may be wondering where is that, and why is it there. Y = x^2 is a parent function.
Check the image below for better explanation from me.
(0,0) = y - intercept
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:
LHS=cos^4(A/2)-sin^4(A/2)
={cos^2(A/2)}^2 -{sin^2(A/2)}^2
={cos^2(A/2) - sin^2(A/2)}{cos^2(A/2) +sin^2(A/2)}
=cosA×1
=cosA
<span><span>a8a6)1/7/a2</span> </span>Final result :<span> a12
———
7
</span>Step by step solution :<span>Step 1 :</span> 1
Simplify —
7
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<span>Equation at the end of step 1 :</span><span> 1
((a8) • (a6)) • — ÷ a2
7
</span><span>Step 2 :</span><span> 1
Divide — by a2
7
</span><span>Equation at the end of step 2 :</span><span><span> 1
((a8) • (a6)) • ———
7a2
</span><span> Step 3 :</span></span>Dividing exponential expressions :
<span> 3.1 </span> <span> a14</span> divided by <span>a2 = a(14 - 2) = a12</span>
Final result :<span> a12
———
7
</span><span>
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