Pls help with this question.....i will give the brainliest 500 points
2 answers:
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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:
His total gross pay for the week is $588.25.
Step-by-step explanation:
Consider the provided information.
Jarry has a salary of $43 per day and he worked for 4 days.
Thus, the salary of 4 days is:
4 × $43= $172
The average tips is 18% of his total gross food orders.
Last week he had total food orders of $2,312.5. Therefore, the total tips he received is:
Total tips he received is $416.25.
His total gross pay for the week = The salary of 4 days + Total tips he received.
His total gross pay for the week = $172 + $416.25
His total gross pay for the week = $588.25
Hence, his total gross pay for the week is $588.25.
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
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</span>
Pass the incognito "4x" to the first term, changing the signal when changing sides.
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simplify by (-1)
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<span><span>
</span></span><span>Substitute in equation (I) to find the value of "Y".
</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
Answer:
</span><span>y = –4x + 10 (II)
------------------------
</span>
Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>
-------------------------
</span>
<span>
-------------------------
</span>
-----------
</span>
</span></span><span>Substitute in equation (I) to find the value of "Y".
</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
Answer: