What’s the correct answer for this?
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
Learn more about regression equation on:
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Answer: 105 couple tickets and 40 individual tickets
For this I will use the "Graphing Method"
First, we need to set up two equations.
-> Let x be the number of couple tickets.
-> Let y be the number of individual tickets.
-> It is "2x" because a couple means two.
$12x + $8y = $1,580
2x + y = 250
Next, we will graph this.
-> The point at which the two lines intersect is our solution.
-> See attached.
-> x = 105, so 105 couple tickets
-> y = 40, so 40 individual tickets
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
