If this analysis is based on 15 data pairs, what is the 95% confidence interval for the slope of the regression line?

Mathematics

1 answer:

NemiM [27]2 years ago

8 0

Answer:

A. (-2.28, 3.38)

Step-by-step explanation:

The confidence interval of the slope :

b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (15 - 2) = 13

Tcritical = 2.160369

b = slope Coefficient = 0.54924

S.E = 1.311

Hence, we have :

Confidence interval = 0.54924 ± (2.160369 * 1.311)

Confidence interval = 0.54924 ± 2.832243759

Lower boundary = 0.54924 - 2.83224 = - 2.283

Upper boundary = 0.54924 + 2.83224 = 3.3814

The answer option is A. (-2.28, 3.38)

You might be interested in

how do you determine if the answer to a problem is negative or positive in division multiplication addition and subtraction

erica [24]

In multiplication, a negative times a positive has a negative answer. if both are positive or both are negative, the answer is positive.
5 * -5 = -25
-5* -5 = 25

in divisions say you have
-5/5 = -1
-5/-5= 1
5/-5= -1

in addition and subtraction, subtracting a negative means to add the two numbers. adding a negative means to subtract the second number.

5+ (-5) = 0
5- (-5) = 10

7 0

2 years ago

Read 2 more answers

Y = x^2 + 2x - 8 Solve with zeros

Katen [24]

Answer:

x=-4 x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor