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Owner: ajulian3
Created: Jul 27, 2017
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AJulian Project 3

Areli Julian

Stats 125 - Project 3

July 20, 2017

Introduction

This statistical report will provide information on a study conducted on nutritional fast food data in 2017.  The information reported has been obtained through Statcrunch.  The sample size for the study consisted of 126.  The columns that were utilized to report the following findings were the Serving Size (X-Value) as the predictable variable and Calories (Y-Value) as the response variable.

Analysis

The regression equation for the information reported is as follows:  y = 82.5589 + 2.0062x. The correlation coefficient is 0.8640 and the coefficient of determination is 0.7466; therefore, we can translate that 74.66% of the variation in calories explained the regression equation and impact of the serving size.  Calories consistently increase as the serving size increases as well.  The regression is appropriate considering that the linear pattern aligns to the data as reflected on the scatter plot, therefore, a linear regression is appropriate.

Conclusion

The data utilized for this report was based on nutritional fast food data in 2017 with a sample size of 126.  The variables utilized to conclude these findings were the impact of serving size as the predictable variable to calories as the response variable. It is apparent that as the serving size increases, the calories increase.  Consequently, a regression is appropriate for this data set because there is a clear linear pattern that demonstrates the linear regression.  The percentage 74.66 (%) explains the regression and changes between serving size and calories which was obtained through the coefficient of determination 0.7466.  It is evident that the relationship is strong as the scatter plot reflects consistency in the linear direction.

Result 1: Scatter Plot - Project 3   [Info]

Result 2: Simple Linear Regression Report - Project 3   [Info]
Simple linear regression results:
Dependent Variable: Calories
Independent Variable: Serving Size (g)
Calories = 82.558913 + 2.0062134 Serving Size (g)
Sample size: 126
R (correlation coefficient) = 0.8640315
R-sq = 0.74655044
Estimate of error standard deviation: 126.79267

Parameter estimates:
ParameterEstimateStd. Err.AlternativeDFT-StatP-value
Intercept82.55891326.112097 ≠ 01243.16171140.002
Slope2.00621340.10497417 ≠ 012419.111495<0.0001

Analysis of variance table for regression model:
SourceDFSSMSF-statP-value
Model15871886.15871886.1365.24922<0.0001
Error1241993471.416076.382
Total1257865357.5

Data set 1. Nutritional Data for Fast Food 2017 - Project 3   [Info]