Divide 28 in the ratio of 3:1
2 answers:
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Answer:
0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Step-by-step explanation:
Given the data in the question;
sample size n = 28
slope of the least squares regression line of y on x or sample estimate = 0.0623
standard error = 0.0224
95% confidence interval
level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05
degree of freedom df = n - 2 = 28 - 2 = 26
∴ the equation will be;
⇒ sample estimate ± ( t-test) ( standard error )
⇒ sample estimate ± ( ) ( standard error )
⇒ sample estimate ± ( ) ( standard error )
⇒ sample estimate ± ( ) ( standard error )
{ from t table; ( ) = 2.055529 = 2.056
so we substitute
⇒ 0.0623 ± ( 2.056 )( 0.0224 )
Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Maricella’s strategy is incorrect as the values added on the left and right side of the equation changes the original equation to
.
Further explanation:
Maricella begin by adding on the left side of the equation and
on the right side of the equation
.
The value added on the left is equal to zero so it does not change the equation but the value added on the right is 2, a non-zero digit so it changes the equation as shown below.
Therefore, the strategy used by Maricella will change the equation and so the solution of the equation will be incorrect.
One way of solving such a linear equation is by adding or subtracting the required value on each side of the equation. and then simplifying the further equation.
Similarly, the other way to solve any linear equation is by separating the variable terms on one side of the equation and constant terms on the other side of the equation.
After this simplify the linear equation to obtain the solution of the equation for .
Whereas Maricella’s strategy fails to solve the equation since the values added and subtracted in the equation changes the original equation completely.
Learn more:
1. Linear equation application brainly.com/question/2479097
2. To solve one variable linear equation brainly.com/question/1682776
3. Binomial and trinomial expression brainly.com/question/1394854
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Linear equation
Keywords: equation, linear equation, Maricella, right side, left side, strategy, solve for , adding, subtracting, variable, constant, solution of the equation, value, original equation, variable terms, constant terms.
