Statistics and Probability Answers

Solve for r and interpret the result

X 2,4,6,7,10

Y 8,10,12,6,16

the standard deviation of adults riding a bus is 1.5

a book has four misprints per page(on avarage ),what is the probabilitythat a page open at random will have no misprints on it?

Construct a curve then shade the region corresponding to the obtained area from The weights (in kg) of 11-STEM B follow a normal distribution and has a mean of 50 and a standard deviation of 5. How many students have weights greater than 57?

The weights(kg) of 11 stem B follow a normal distribution and has a mean of 50 and a standard deviation of 5 how many students have weights greater than 57?

THE FOLLOWING ARE THE HEIGHT IN CENTIMETER AND HEIGHTS IN KILOGRAM OF 5 TEACHERS IN A CERTAIN SCHOOL.DETERMINE THE RELATIONSHIP BETWEEN THE HEIGHT (CM) AND WEIGHT (KG) OF THE TEACHERS

TEACHER A,B,C,D,E,F,G

HEIGHT (CM) X 163,160,168,159,170

WEIGHT (KG) Y 52,50,64,51,69

Survey tests on leadership skills and self-concept were administered to student-leaders.

Both tests use a 10-point Likert Scale, with 10 indicating the highest scores for each test.

Scores for the student-leaders on the tests follow:

Student Code A B C D E F G H I J

Self-concept 9.5 9.2 6.3 4.1 5.4 8.3 7.8 6.8 5.6 7.1

Leadership Skill 9.2 8.8 7.3 3.4 6.0 7.8 8.8 7.0 6.5 8.3

a. Compute the correlation coefficient r.

b. Interpret the results in terms of (a) strength and (b) direction of correlation.

c. Find the regression line that will predict the leadership skill if the self-

concept score is known.

d. Predict the leadership skill of a student leader whose self-concept skill is

1.5.

a. r =

=

=

=

=

=

r =

b. There is a _____________________between the self-concept skill and leadership skill of the students.

x y xy x² y²

9.5 9.2

9.2 8.8

6.3 7.3

4.1 3.4

5.4 6.0

8.3 7.8

7.8 8.8

6.8 7.0

5.6 6.5

7.1 8.3

"\\sum"= "\\sum"= "\\sum"= "\\sum"= "\\sum"=

c)

= a + bx a= ( "\\sum" y)("\\sum" x²) - ("\\sum" x)("\\sum" xy) / n("\\sum" x²) -"\\sum" x²

^{= = = a=}

b= ("\\sum" xy) - ("\\sum" x) ("\\sum" y) / n("\\sum"x² ) -("\\sum" x)²

d)= _____________

= ____________(1.5)_

= ____________

1. a) = 97.732 – 2.61x

= 97.732 – 2.61(0)

=

b) = 97.732 – 2.61x

= 97.732 – 2.61(10)

=

c) the graph