Linear Regression Project Economics Coursework Research

Linear Regression Project
Name
Institution
Date
LR-1
Purpose: To analyze the sugar content in grams contained in children’s brand fruit juices. I chose this topic because I have a 9-week-old daughter and I want to make the best choices for her when she is able to drink juices.
Data: the sugar content and corresponding calories in children fruit juices
Children’s brand fruit juicesSugary content (x)Calories (y)Welch's Chillers30130Happy Drinks 27120Robinsons Fruit Shoot29119Bug Juice26110Minute Maid Coolers 25100Hi-C 2280Capri Sun 1660Hawaiian Punch1560Kool-Aid (Jammers, Twists, packets) 1660Fruit Rush 1040
LR-2


The general trend for the children fruit juices is that the higher the calories, the higher the sugar content and vice versa.
LR-3


Linear of Best Fit (Regression Line)
Mean x (x̄): 21.6
Mean y (ȳ): 87.9
Intercept (a): -10.6069
Slope (b): 4.56051
Equation of the regression line is Y=4.56x-10.6, where x is the sugar content and y is the calories content
(LR-4) Slope
The Slope is 4.56 as the sugary content is positively correlated to the calorie content. This indicates that the calorie intake increases by 4.56 (kcal) when there is a 1 g increase in sugar content.
(LR-5) Values of r 2 and r:

Regression StatisticsMultiple R0.987359R Square0.974877Adjusted R Square0.971737Standard Error5.344845Observations10
The value of correlation coefficient (r) is 0.9874 and the coefficient of de...