Answer:
y = 2x
Step-by-step explanation:
The equation that represents a proportional relationship that has a constant of proportionality equal to 2 is y = 2x
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:
Step-by-step explanation:
1. x -> opposite side of 48°
o → hypotenuse
b → adjacent side of 48°
o = 20.27
b = 0.67*20.27
b = 13.58
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2) i → opposite side of 25°
n → adjacent side of 25°
i = 12.6
n = 27.3
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3) a → opposite side of 70°
e → adjacent side of 70°
a = 23.5
e = 8.5
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4)
x = 59.25
z = 46.5
