Linear Regression Analysis<\/p>\n
Student\u2019s Name<\/p>\n
Institution Affiliation<\/p>\n
Course Name and Code<\/p>\n
Professor\u2019s Name<\/p>\n
Date<\/p>\n
Linear Regression Analysis<\/p>\n
The type of relationship. <\/p>\n
Based on the scatter plot plotted, there exists a strong positive linear relationship between rate of service and worker hours. <\/p>\n
Develop a linear regression model to explain the variation in the service rating.<\/p>\n
The linear regression model is as follows:<\/p>\n
????\u0302=66.7111+1.0617????<\/p>\n
The coefficient of determination (R\u00b2) =83.81%<\/p>\n
Therefore, 83.81% of the variation in the rate of service can be explained by the variation in the worker hours, while the other variation could be explained by other factors outside the model. <\/p>\n
Describe the model, showing the results of the pertinent hypothesis tests, using a significance level of 0.10.<\/p>\n
Hypothesis<\/p>\n
Here, we test whether there exists a significant relationship between rate of service and Worker hours. Thus, <\/p>\n
H0: \u03c1=0<\/p>\n
H1: \u03c1\u22600<\/p>\n
Test statistic<\/p>\n
From the regression output;<\/p>\n
The correlation coefficient (r)= 0.9155<\/p>\n
t=7.8828<\/p>\n
Degrees of freedom<\/p>\n
n-2=14-2=12.<\/p>\n
P_value<\/p>\n
Using the excel function, \u201c=2*(1-T.DIST(7.8828, 12, TRUE))\u201d<\/p>\n
P_value=4.37173E-06=0.0000<\/p>\n
\u03b1=0.10<\/p>\n
P_value (0.0000) < \u03b1 (0.10)<\/p>\n
Therefore, since P_value < \u03b1 we reject the null hypothesis and conclude that there is enough evidence to support that there is a significant relationship between the rate of service and worker hours at the significance level of 0.10. <\/p>\n","protected":false},"excerpt":{"rendered":"
Linear Regression Analysis Student\u2019s Name Institution Affiliation Course Name and Code Professor\u2019s Name Date Linear Regression Analysis The type of<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-34587","post","type-post","status-publish","format-standard","hentry"],"yoast_head":"\n