Common Core: 8th Grade Math : Grade 8

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #2 : Fit A Straight Line In A Scatter Plot That Has Linear Association: Ccss.Math.Content.8.Sp.A.2

Select the scatter plot that shows the most accurate line of best fit. 

 

Possible Answers:

3

4

2

1

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

1

Example Question #25 : Statistics & Probability

Select the scatter plot that shows the most accurate line of best fit. 

Possible Answers:

1

2

3

4

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

1

Example Question #26 : Statistics & Probability

Select the scatter plot that shows the most accurate line of best fit.



Possible Answers:

2

3

4

1

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line1

Example Question #3 : Fit A Straight Line In A Scatter Plot That Has Linear Association: Ccss.Math.Content.8.Sp.A.2

Select the scatter plot that shows the most accurate line of best fit.

 

Possible Answers:

3

2

1

4

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

1

Example Question #541 : Grade 8

Select the scatter plot that shows the most accurate line of best fit.

 

Possible Answers:

2

4

3

1

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

1

Example Question #12 : Fit A Straight Line In A Scatter Plot That Has Linear Association: Ccss.Math.Content.8.Sp.A.2

Select the scatter plot that shows the most accurate line of best fit.

 

Possible Answers:

1

2

3

4

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

1

Example Question #30 : Statistics & Probability

Select the scatter plot that shows the most accurate line of best fit. 

Possible Answers:

3

3

1

2

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

1

Example Question #1 : Drawing Conclusions From Graphs & Tables

Matt conducted a statistical experiment to determine the relationship between yearly salary earned and age. In this study, he assigned age (in years) as the independent variable, and yearly salary as the dependent variable. He drew a line of best fit and found a slope of . What does this mean? 

Possible Answers:

Each year, a person's salary decreases by 

Each month, a person's salary decreases by 

Each year, a person's salary increases by 

Each month, a person's salary increases by 

Correct answer:

Each year, a person's salary increases by 

Explanation:

The slope of a line is the rate that a line increases or decreases. The question tells us that Matt looked at the relationship between age, in years; thus, the correct answer should include "each year", which eliminates the answer choices that include "each month". Finally the slope is , which is a positive number; thus, the line increases by  each year. This means that the correct answer is "Each year, a person's salary increases by ". 

Example Question #2 : Drawing Conclusions From Graphs & Tables

Mrs. Frame conducted a statistical experiment to determine the relationship between test grades and the number of hours her students spent studying. In this study, she assigned the number of hours spent studying as the independent variable, and the test grades (in percentages) were assigned as the dependent variable. She plotted the data on a scatter plot and drew a line of best fit. If the slope of the best fit line was  and one of her data points was , can we determine the  of the best fit line? If yes, determine the .

Possible Answers:

Yes, the  can be determined: 

Yes ,the  can be determined: 

No, the  can't be determined.

Yes ,the  can be determined: 

Correct answer:

Yes ,the  can be determined: 

Explanation:

The equation of the best fit line will be in slope intercept form:

The question tells us that the slope is  and we are provided with a data point, so we can plug in the known values into the equation to solve for the  

We had to convert our percentage into a decimal in order to multiple, but we need to change it back to a percent before we subtract so that we arrive at the correct answer because  is a percent based on the information from the question

 which means the y-intercept is 

 

 

Example Question #542 : Grade 8

Mr. Miller conducted a statistical experiment to determine the relationship between final grades and the number of school days that his students missed. In this study, he assigned the number of missed school days as the independent variable, and the final grade was assigned as the dependent variable. He plotted his results on a scatter plot. If the results follow a linear relationship, what is a reasonable conclusion that could be found based these results? 

Possible Answers:

A positive slope 

A slope of 

An undefined slope 

A negative slope

Correct answer:

A negative slope

Explanation:

We know, from attending school ourselves, that every day we learn something new in school. When a day of school is missed, there is a lot of catch up that needs to be done, but the teacher's instructions and lesson given each day can't be repeated the day you return, because the teacher has to move on with the rest of the class. If you missed a week of school, that's five days of lessons that were missed. Wouldn't it be challenging to catch up on what was missed, as well as learning what the teacher is currently teaching when you return? This would likely be challenging; thus, we can conclude that the more days of school missed, the lower a students final grade will be. As the number of days missed increases, the final grade will decrease; thus, the best fit line will have a negative slope. 

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