Need help with this homeworkFirst Part Conduct an investigation taking into consideration the...

Question

Need help with this homeworkFirst Part Conduct an investigation taking into consideration the following concepts: Correlation coefficient Simple linear regression Dependent variable Independent variable Regression line Explain the assumptions of the simple linear regression model. Explain the usefulness of the scatter plot as a possible starting point for developing a simple linear regression model. Explain what the standard error of estimate measures in the simple linear regression model. Use a word processor, such as Word, to complete the Assignment. Second Part. The following sample observations were randomly selected: X: 5 3 6 3 4 4 6 8 Y: 13 15 7 12 13 11 9 5 Consider the following aspects when submitting your test: Present your answers with the aspects learned so far about correlation and simple linear regression. Determine the correlation coefficient Determine the regression equation Find the value of the dependent variable when X = 7. This data used in Modules 2 to 5, represents the number of telephone calls per day in a call center (30 days) 	39 	42 	30 	48 	35 	40 	27 	25 	28 	34 	33 	38 	25 	34 	32 	28 	42 	35 	34 	37 	40 	30 	31 	36 	40 	45 	36 	41 	34 	29 For these previous data: (a) calculate a 95% confidence interval for the true value of the population mean (b) what is the probability that the sample mean of these data is less than 34 phone calls per day. Explain your results as well as any assumption to solve parts (a) and (b) Third Part How can we use statistics  and what we had learned in this homework in our daily life? Please use the APA style manual when submitting your proof in MS Word document.

Mohd · Accepted Answer

First Part
Conduct an investigation taking into consideration the following concepts:
Correlation coefficient
The sole purpose of correlation coefficients are to evaluate strength of relationship between two continuous variables. There are three methods to evaluate correlation coefficients Pearson, Spearman, and kendall. Generally we use Pearson correlation in linear regression. Correlation coefficients vary from -1 to 1. Negative correlation coefficient(coefficient value between -1 to 0) indicates inverse relationship between variables. Positive correlation(coefficient value between 0 to 1) coefficient indicates direct relationship between variables. 
Simple linear regression
Simple linear regression is a statistical tool which enables us to describe and investigate relationships between two continuous variables. In simple linear regression we have one predictor and one response variable. 
First variable can be represented as a response variable (quantitative dependent variable). Second Variable can be represented as an explanatory variable or independent variable. Explanatory variables are also termed as predictors.
Dependent variable:
The change in dependent variable depends on independent variables. If we examine children's age and height. Height will be a dependent variable and age will be an independent variable. As we know, if we increase the age , the height of the child is likely to be higher. Child age does not depend on any variable except itself. 
Independent variable:
If we examine children's age and height. Height will be a dependent variable and age will be an independent variable. As we know, if we increase the age , the height of the child is likely to be higher. Child age does not depend on any variable except itself. 
Regression line:
The linear relationship between two variable can be formulated as below.
y = mx + c
Where 
y = dependent variable
m = Slope of the line
x = independent variables
C= Intercept of the line.
Explain the assumptions of the simple linear regression model.
Assumption 1:

Sun	Mon	Tue	Wed	Thu	Fri	Sat
30	31	1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	1	2	3

First Part Conduct an investigation taking into consideration the following concepts: Correlation coefficient Simple linear regression Dependent variable Independent variable Regression line Explain...

Answer To: First Part Conduct an investigation taking into consideration the following concepts: Correlation...

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment