High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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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.
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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 p…
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Chapter 5.8, Problem 43MR
To determine

To find: The equation of a line of best fit using trend line or graphing calculator.

Expert Solution & Answer
Check Mark

Answer to Problem 43MR

The equation of the best line is y=12.75x−2 ..

Explanation of Solution

Given:

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5.8, Problem 43MR , additional homework tip 1

Concept used:

A line of best fit is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.

A scatter plot pairs values of two quantitative variables in a data set and display them as geometric points inside a cartesian diagram.

The equation of straight line:

  y−y1=m(x−x1).where m=y2−y1x2−x1.

Calculation:

The data is a linear model. Write an equation of a trend line or use a graphing calculator to find an equation of the line of best fit.

The table for the linear model is given below:

    Ounces Calories
    8 100
    12 151
    16 202
    20 250

Step 1

:

Make a scatter plot and draw a trend line.

Estimate the coordinates of two points on the line.

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5.8, Problem 43MR , additional homework tip 2

Suppose take any two points on trend line, that is (8,100) and (12,151) .

Write an equation of the trend line.

First find the slope of the trend line.

  m=y2−y1x2−x1.⇒151−10012−8.⇒514=12.75.

Use slope intercept form of a line.

  y−y1=m(x−x1).⇒y−100=12.75(x−8).⇒y=12.75x−2.

Hence, the equation of the best line is y=12.75x−2 .

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Chapter 5.8, Problem 44MR

Chapter 5 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LC
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