Find the regression line associated with the set of points. (Round all coefficients to four decimal places.) HINT (See Example 2
1 answer:
The equation of the regression line is : Ŷ = 0.8571+0.8878X
Given the set of points :
(1, 2), (4,4), (9,9)
X axis : ___ Y axis
1 ___________2
1 ___________2 4 __________ 4
1 ___________2 4 __________ 4 9 __________ 9
The regression line associated could be obtained using technology such as excel, linear regression solvers or a graphing calculator.
Using technology :
Input the values of X and Y into their appropriate column and plot :
The regression equation obtained is :
Ŷ = 0.8571 + 0.8878X
Where :
Ŷ = predicted value of Y(dependent variable)
X = Independent variable
Slope = 0.8878
Intercept = 0.8571
The regression plot is attached below
Learn more : brainly.com/question/18405415?referrer=searchResults
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Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.
<h3>Central Limit Theorem</h3>The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.
To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213
Answer: $34.08
<u>Step-by-step explanation:</u>
Difference = Compound Interest - Simple Interest
= 8834.08 - 8800.00
= 34.08