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# Simple Linear Regression

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I am having a difficult time understanding this concept as a whole. I can explain it in writing, but when it comes to calculations, it is very difficult. In the following case, I need to review the outputs for the service time data relates to predicting services times for 1, 2, 3, 4, 5, 6, and 7 copiers. I have attached the data set that does along with the below questions:

a. Description/Point Estimates: Central Tendency: write out the simple linear regression equation; specify and interpret bo and b1, using the units of the variables.

b. Description/Point Estimates: Dispersion: identify and interpret the standard error s, using the units of the variables.

c. Description/Point Estimates: r squared: identify and interpret the r squared, using the units of the variables.

d. Description/Point Estimates: r: identify and interpret r.

e. Inferences about the population regression coefficient: hypothesis test: specify the null and alternative hypotheses about the population regression coefficient; identify the p-value for the population regression coefficient, and use it to evaluate the Ho and Ha, include your interpretation, using the variables of the case.

f. Inferences about the population regression coefficient: confidence interval: specify and interpret the 95% confidence interval for the population regression coefficient, using the units of the variables.

g. Inferences about the predicted value of the dependent variable, using a given value of the independent variable: take as your given x value the mean of the x values: specify and interpret the 95% confidence interval and the 95% prediction interval, using the units of the variables. Be sure to clearly distinguish in your interpretation the difference between the 95% confidence interval and the 95% prediction interval, for the given value of x.

*Please note, the data set is attached. I copied and pasted a chart and put it in a word document. Thank you in advance for your assistance!

##### Solution Summary

Simple linear regression is examined. A description and point estimates is examined.

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Simple Linear Regression
I am having a difficult time understanding this concept as a whole. I can explain it in writing, but when it comes to calculations, it is very difficult. In the following case, I need to review the outputs for the service time data relates to predicting services times for 1, 2, 3, 4, 5, 6, and 7 copiers. I have attached the data set that does along with the below questions:

a. Description/Point Estimates: Central Tendency: write out the simple linear regression equation; specify and interpret bo and b1, using the units of the variables.
Coefficients Standard Error t Stat P-value
Intercept 11.46409 3.439026 3.333528 0.00875
Copiers 24.60221 0.804514 30.5802 2.09E-10

The estimated regression model is
Services times = 11.46409 +24.6022*Copiers
The regression coefficients can be interpreted as
• For a unit increase in number of copiers , the service time increase by 24.6022 minutes
• When number of copiers is zero, service time =11.46409 minutes
b. Description/Point Estimates: Dispersion: identify and interpret the ...

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.