Linear regression is the most widely used statistical technique; it is a way

Discuss Linear Regression.

Linear regression is the most widely used statistical technique; it is a way to model a relationship between two sets of variable. It also quantifies the relationship between one or more predictor variables and one outcome variable. Linear regression is used for predictive analysis and modeling. For example, linear regression can be used to quantify the relative impacts of age, gender, and diet (the predictor variables) on height (the outcome variable).

 

Please make sure you are familiar with the Example Problems in your reading assignments as well as the problems in the videos for this module.

You are required to do the following problems prior to taking the test. Please show your work and explain your answers by uploading it on the same discussion attachment for this assignment.

Question 1

Lieutenant Dan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits his soldiers made to the gym each week and the average amount of time they exercised per visit. He took the following data.

Soldiers	1	2	3	4	5	6
Number of visits per week	1	3	4	2	3	5
Average time spent exercising per visit (hours)	2	1.5	1	2	2	0.30

 

Determine the correlation coefficient significant. Please explain how you derived the answer.

 

 

 

 

 

 

 

Question 2

Lieutenant Dan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits his soldiers made to the gym each week and the average amount of time they exercised per visit. He took the following data.

Soldiers	1	2	3	4	5	6
Number of visits per week	1	3	4	2	3	5
Average time spent exercising per visit (hours)	2	1.5	1	2	2	0.30

Using the best fit line, estimate the average time spent exercising per visit for 4 visits per week. Please explain how you derived the answer

 

 

Question 3

If the number of degrees of freedom for a chi-square distribution is 32.  Determine the population mean and standard deviation. Please explain how you derived the answer

 

 

Question 4

A six-sided die is rolled 120 times. Determine the expected frequency for the cells in the right hand side of the column for use in the Chi Square Distribution. Please explain how you derived the answer

Face Value	Frequency	Expected Frequency
1	15
2	29
3	15
4	16
5	30
6	15

 

 

 

Question 5

Employers want to know which days of the week employees are absent in a five-day work week. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of 60 managers were asked on which day of the week they had the highest number of employee absences. The results were distributed as in the Table Below. Determine the Chi Square Test Statistic. Please explain how you derived the answer

	Mon	Tues	Wed	Thurs	Fri
Number of Absences	16	8	12	10	14