Answer:
77 "
Step-by-step explanation:
'mean' is the average of all of the heights
( 84 + 84 + 77 + 63 + 70 + 70 + x) / 7 = 75
x = 77
The are of a square is determined by squaring the side. And the length will hence, be determined by square rooting the area.
∴ length of this square is = √84 = 9.165
Y + 8 = 4(x - 5)
distribute the 4 to both x and -5
4(x) = 4x
4(-5) = -20
y + 8 = 4x - 20
isolate the y, subtract 8 from both sides
y + 8 (-8) = 4x - 20 (-8)
y = 4x - 28
plug in the x given, if the y matches the answer given, it is the correct answer.
-8 = 4(5) - 28
-8 = 20 - 28
-8 = -8 (True)
D) (5,-8) should be your answer
hope this helps
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