ŷ= 1.795x +2.195 is the equation for the line of best fit for the data
<h3>How to use regression to find the equation for the line of best fit?</h3>
Consider the table in the image attached:
∑x = 29, ∑y = 74, ∑x²= 125, ∑xy = 288, n = 10 (number data points)
The linear regression equation is of the form:
ŷ = ax + b
where a and b are the slope and y-intercept respectively
a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )
a = (10×288 - 29×74) / ( 10×125-29² )
= 2880-2146 / 1250-841
= 734/409
= 1.795
x' = ∑x/n
x' = 29/10 = 2.9
y' = ∑y/n
y' = 74/10 = 7.4
b = y' - ax'
b = 7.4 - 1.795×2.9
= 7.4 - 5.2055
= 2.195
ŷ = ax + b
ŷ= 1.795x +2.195
Therefore, the equation for the line of best fit for the data is ŷ= 1.795x +2.195
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Answer:
C
Step-by-step explanation:
∠ TUL + ∠ LUV = ∠ TUV , substitute values
x + 16 + 11x = 172 , that is
12x + 16 = 172 ( subtract 16 from both sides )
12x = 156 ( divide both sides by 12 )
x = 13 → C
<span>Equation at the end of step 1 :</span><span><span> (((4•(y2))-5y)+(3y-(7•(y2))))-((2y2+6y)-5)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> (((4•(y2))-5y)+(3y-7y2))-(2y2+6y-5)
</span><span> Step 3 :</span></span><span>Equation at the end of step 3 :</span><span> ((22y2 - 5y) + (3y - 7y2)) - (2y2 + 6y - 5)
</span><span> Step 4 :</span><span> Step 5 :</span>Pulling out like terms :
<span> 5.1 </span> Pull out like factors :
<span> -5y2 - 8y + 5</span> = <span> -1 • (5y2 + 8y - 5)</span>
I hope tht help
Hey friend your answer is
"AM"
hope it is helpful
Answer:
Answer is D 2x^3 + 7x^2 - 23x + 12
Step-by-step explanation:
(x^2 + 5x - 4)(2x - 3)
Expand by multiplying each term in the first expression by each term in the second expression.
The easy way would be multiplying the first expression by 2x then set those numbers off to the side.
Then multiply the first expression by -3 and set those numbers off to the side as well.
Then add the numbers you put off to the side together.
This should result in: 2x^3 - 3x^2 + 10x^2 - 15x - 8x + 12
Combine the alike terms together
=2x^3 + 7x^2 -23x + 12
