Correlation Coefficient Practice
Authored by Wendi Miller
Mathematics
8th Grade
CCSS covered
Used 46+ times
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About
This quiz focuses on correlation coefficients and lines of best fit within the broader topic of bivariate data analysis in statistics. Appropriate for 8th grade mathematics, the assessment requires students to interpret correlation coefficient values, understand the relationship between correlation strength and numerical values, and connect scatter plot patterns to their corresponding r-values. Students need a solid foundation in coordinate graphing, understanding of positive and negative relationships, and the ability to distinguish between strong, moderate, and weak correlations. The core mathematical reasoning involves recognizing that correlation coefficients range from -1 to 1, where values closer to -1 indicate strong negative correlation, values closer to 1 indicate strong positive correlation, and values near 0 suggest little to no linear relationship. Students must also understand how to use graphing calculator technology to determine lines of best fit and calculate correlation coefficients from data sets. Created by Wendi Miller, a Mathematics teacher in the US who teaches grade 8. This comprehensive assessment serves multiple instructional purposes, from formative assessment during a statistics unit to homework practice reinforcing calculator skills with bivariate data. The quiz effectively supports classroom instruction by providing immediate feedback on student understanding of correlation interpretation, making it ideal for warm-up activities before introducing causation concepts or as review material before summative assessments. Teachers can use individual questions for quick checks during guided practice or assign the complete quiz for independent practice with real-world data contexts including salary-education relationships, heart rate patterns, and automotive depreciation. This assessment aligns with Common Core standard 8.SP.2, which requires students to know that straight lines are widely used to model relationships between two quantitative variables, and standard 8.SP.3, which focuses on interpreting the equation of a linear model in the context of bivariate measurement data.
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A study compared the number of years of education and a person's annual salary. The correlation coefficient of the data was r = 0.913. Which conclusion can be made using the correlation coefficient?
There is a strong positive correlation.
There is a strong negative correlation.
There is no correlation.
There is a weak positive correlation.
Tags
CCSS.HSS.ID.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The relationship ship between a woman's show size and length of her foot, in inches, is given in the table.
Calculate the line of best fit using the graphing calculator.
a = .25 and b = 7.75
y = .25x + 7.75
r = 1
y = ax + b
Tags
CCSS.8.EE.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
As shown in the table, a person's target heart rate during exercise changes as the person gets older. Use the graphing calculator to find the correlation coefficient (r).
-0.999
-0.664
0.998
1.503
Tags
CCSS.HSS.ID.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correlation coefficient of the data characteristics shown?
-.928
.928
.861
-.861
Tags
CCSS.HSS.ID.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What COULD be the approximate value of the correlation coefficient for the scatter plot?
-.851
-.162
0.211
0.905
Tags
CCSS.HSS.ID.C.8
CCSS.HSS.ID.B.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The points in the scatter plot show the ages of cars (x) and their price in dollars (y). What could you conclude about the relationship of the data?
Age and price have no correlation.
Age and price have a weak positive relationship.
Age and price have a weak negative relationship.
Tags
CCSS.HSS.ID.C.8
CCSS.HSS.ID.B.6
CCSS.HSS.ID.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which value of r represents data with a strong negative correlation between two data sets?
-1.07
-0.89
-0.14
0.92
Tags
CCSS.HSF-LE.A.1B
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