The number of calories in a food item depends on many factors, including the amount of fat in the item. The data below shows the amount of fat (in grams) and the number of calories in 7 beef sandwiches at McDonalds. The scatterplot displaying the relationship is shown to the right. Collection 1 Scatter Plot : Sandwich Fat Calories 800- Big Mac Quarter Pounder w/ Cheese Dbl Quarter Pounder w/ Cheese Hamburger Cheeseburger Double Cheeseburger 29 550 600- 26 520 42 750 400 9 250 200 12 300 23 440 McDouble 19 390 10 15 20 25 30 35 40 45 Fat 1. Describe the shape, the direction, and the strength of this relationship. 2. The regression equation for this data is Calories = 1.52 Fat + 105. Explain the meaning of the slope and y-intercept in the context of this problem. 3. What is the correlation between Calories and Fat? Calories

The number of calories in a food item depends on many factors, including the amount of fat in the item. The data below shows the amount of fat (in grams) and the number of calories in 7 beef sandwiches at McDonalds. The scatterplot displaying the relationship is shown to the right. Collection 1 Scatter Plot : Sandwich Fat Calories 800- Big Mac Quarter Pounder w/ Cheese Dbl Quarter Pounder w/ Cheese Hamburger Cheeseburger Double Cheeseburger 29 550 600- 26 520 42 750 400 9 250 200 12 300 23 440 McDouble 19 390 10 15 20 25 30 35 40 45 Fat 1. Describe the shape, the direction, and the strength of this relationship. 2. The regression equation for this data is Calories = 1.52 Fat + 105. Explain the meaning of the slope and y-intercept in the context of this problem. 3. What is the correlation between Calories and Fat? Calories

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

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.

Question

The number of calories in a food item depends on many factors, including the amount of fat in the item. The data below shows the amount of fat (in grams) and the number of
calories in 7 beef sandwiches at McDonalds. The scatterplot displaying the relationship is shown to the right.
Collection 1
Scatter Plot
Sandwich
Fat Calories
800-
Big Mac
Quarter Pounder w/ Cheese
Dbl Quarter Pounder w/ Cheese
Hamburger
Cheeseburger
Double Cheeseburger
29
550
600-
26
520
42
750
400-
9.
250
200-
12
300
23
440
McDouble
19
390
10 15 20 25 30
35 40 45
Fat
1. Describe the shape, the direction, and the strength of this relationship.
2. The regression equation for this data is Calories
1.52 Fat + 105. Explain the meaning of the slope and y-intercept in the context of this problem.
3. What is the correlation between Calories and Fat?
4. What number of calories does the regression model predict if a sandwich has 36 grams of fat? Remember to include units.
B I U A
Ix E E E
x X, = E
12pt
Paragraph
Calories
囲

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