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# Regression and ANOVA Analysis: Prepare Meals, Driving Time (Math Problem Sample)

Instructions:

Use regression and ANOVA to analyze the data below. Write a 2 Page paper summarizing the following points

source..Content:

Name

Course

Institution

Regression and ANOVA analysis

The total number of observations is 12 for all the variables. Below is the explanations of the regression analysis and ANOVA test of the observed data.

Regression analysis

Studying

According to the data observed on studying time, regressing time series with studying the following regression equation results; y = 5.612 + 0.0133 x. The equation shows that there is a positive linear relationship between time period and study time. This equation depicts that the individual has 5.6 minutes of studying that increases as time advances. The coefficient of x is 0.0133 and it implies that as time advances by one period, the time of studying will be increased by 0.0133. This equation has a correlation coefficient of 0.1735 that shows that there is a low positive correlation between time and study time and as time period increases, the study time increases too. There is a coefficient of determination of 0.0301 showing that only 3% of the variations of study time with time series that can be explained by the given data (Edwards, 2011).

Prepare meals

On the other hand, regressing time series with time spent on preparing meals, the following regression equation results; y = 9.2309 – 0.2952 x. The equation shows that there is a negative linear relationship between time period and time spent on preparing meals. This equation depicts that the individual has 9.2 minutes of preparing meals that decreases as time advances. The coefficient of x is -0.2952 and it implies that as time series advances by one period, the time of preparing meals will be decreased by 0.2952. This equation has a correlation coefficient of -0.4487 that shows that there is a moderate negative correlation between time and time spent on preparing meals and as time period increases, the meals’ preparation time reduces. There is a coefficient of determination of 0.2013 showing that only 20% of the variations of meals’ preparation time with time series that can be explained by the given data.

Talking on the phone

Regressing time series with time spent talking on the phone yields the following regression equation; y = 5.6918 + 0.017 x. The...

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