This February and March, the middle school students had their most successful food drive, topping last year's total by 57 items. They started the food drive on day 0 with 8 cans of fruit juice which had been donated too late to be included in the November food drive. Contributions poured in at a constant rate of 12 food items per day. By the time the drive was over, the cans covered the cafeteria stage. What is the dependent variable? What is the independent variable? Find the slope described in the situation.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Page 7 of 9
9. This February and March, the middle school students had their most successful food drive,
topping last year's total by 57 items. They started the food drive on day 0 with 8 cans of
fruit juice which had been donated too late to be included in the November food drive.
Contributions poured in at a constant rate of 12 food items per day. By the time the drive
was over, the cans covered the cafeteria stage.
a.
What is the dependent variable?
b. What is the independent variable?
c. Find the slope described in the situation.
d. Find a point described in the situation.
e. Write an equation of the line in point-slope form.
f. Write an equation of the line in slope-intercept form.
g. Use either equation to tell how many food items had been collected by the 10th day.
h. Use either equation to tell how many days it took to collect 488 items](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c4966f6-c8df-42e1-a327-e5a3d41d55a0%2Ff729b72b-82f8-48a1-9c09-2a8747787c15%2Fqlmo7zh_processed.jpeg&w=3840&q=75)
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