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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Hi sam, do you want to know the answer? Try using a protractor, you will see the degree is 125, its like a obtuse angle
Answer:
y=-2x-5
Step-by-step explanation:
Answer:
Option B. 
Step-by-step explanation:
Let
b------> the number of buses
we know that
-----> inequality that represent the situation
Solve for b
Answer:
2/3 probability that the answer choice which rohit selects for question is wrong.
Step-by-step explanation:
Completing the question :- what is probability that the answer choice which rohit selects for question is wrong.
Answer :
Since there are 3 possible options provided out of which 1 is correct. So probability of correct answer is 1/3. probability of incorrect answer is 2/3.
So, there is 2/3 probability that the answer choice which rohit selects for question is wrong.
