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п»їProblems on Regression and Relationship

Prepared by: Dr . Elias Dabeet

Q1. Doctor Green (a pediatrician) desired to test if there is a relationship between the quantity of meals used by a child per day (X) and the child weight (Y). Included you will see a stand containing the data on five of the children. Use the table to answer the subsequent:

Child

Quantity of meals consumed per day (X)

child excess weight (Y)

XВІ

YВІ

XY

Ahmad

10

8

121

64

88

Ali

18

11

256

121

176

Osama

12

9

a hundred and forty four

81

108

Husien

19

13

361

169

247

Total

49

41

882

435

619

a. Identify the simple geradlinig regression equation.

b. Identify the correlation coefficient. Interpret it in words. c. What is the expected child weight in case the number of foods increased simply by 2 foods per day?

Q2. A medical center supervisor would like to find the romance between the range of nurses on a job as well as the number of patients examined to get a shift. The following is the effect for a test of 5 days. Let the number of patients ( y ) end up being the dependent variable.

Nurses ( by )

People ( y )

being unfaithful

12

3

14

five

11

eight

13

a. Compute,,,,.

w. Determine the coefficient of correlation. Translate its that means.

c. Determine the estimated basic linear regression equation.

d. If the volume of nurses over a job adjustments by a few, what is the related change in the number of examined people.

Q3. Research was executed on the relationship between marketing expenditures and amount of sales for any medical gadget product, the information are inside the following desk:

Advertising Costs ( $1000 ) by

Amount of Sales ( 1000 units ) sumado a

2

a couple of

4

several

5

2

7

six

8

4

a. Determine the believed linear regression equation.

b. Determine the coefficient of correlation plus the coefficient of determination. Translate their symbolism.

c. Illustrate the relationship between By & Sumado a ( Direct, Inverse). Clarify.

c. In the event the advertising bills changes by simply 2 models, what is the corresponding change in quantity of sales of the medical device?

Q4. A computer program has published out r as comparable to 0. 8214 for the correlation between your amount of fat used daily in kg (X) and the volume of percent increase in risk for CHD (Y). Find out if the program is correct after that estimate the precise amount of increase in exposure to possible CHD in the event fat used is almost 8 kg.

Kid Number

Daily fat usage

(X)

Embrace CHD risk

(Y)

one particular

1

2

2

2

1

several

3

4

4

some

3

your five

5

7

6

6th

5

7

7

six

Q5. A medical study at the school of orthopedics conducted a report to determine the correlation between height and excess weight of feminine children. An example of 6th children were selected plus the data is in the following stand.

Height

Pounds

12

18

10

seventeen

14

twenty three

11

19

12

20

9

15

1 . Decide the correlation coefficient. Understand the answer in words.

2 . Determine the linear regression equation.

several. Predict the weight of any female kids whose height is 13.

Problems about Probability:

Q6. If one individual is chosen randomly coming from a set of 75 persons which are classified by according to three categories of age groups and 3 categories of dumbbells:

Slim ( S )

Normal ( N )

Fat ( F )

Total

( 05-24 years ) A

15

12

2

twenty-seven

( 25-44 years ) B

12

12

3

25

( 45-64 years ) C

7

11

5

3

Total

32

33

12

75

1 )

2 .

a few.

four. Are the incidents B and S impartial? Why?

your five.

6th.

Q7. A figure instructor features noted from past experience that 73% of the learners in the course carry out their homework. On the other hand, this individual found that of those who perform their homework 90% go the training course, while of the people who usually do not do their homework just 25% go the program. Use the previously mentioned percentages, solution the following:

a. i. a. What is the probability which a randomly chosen student can pass the course. a. i. n. Given that students did not go the program, what is the probability that he/she completed the homework....

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