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NY-S.ID.6
Algebra IInterpreting Categorical and Quantitative Data70 target questions

Represent data on two quantitative variables on a scatter plot and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.

Sample Practice Questions (3)

1
The scatter plot below shows the relationship between the number of hours spent studying, , and the score on a final exam, . Which statement best describes the relationship between the variables?
Study Time vs. Exam Score Hours Studied Exam Score 0 1.6 3.2 4.8 6.4 8 60 68 76 84 92 100
AThere is a positive correlation between study hours and exam scores.
BThere is a negative correlation between study hours and exam scores.
CThere is no correlation between study hours and exam scores.
DThe correlation is constant regardless of the study hours.
Multiple choice · diagramSee Answer + Explanation →
2
The scatter plot below shows the relationship between the number of hours studied and the test scores for a group of students. Which statement best describes the relationship between the variables?
Study Time vs. Performance Hours Studied Test Score 0 1.4 2.8 4.2 5.6 7 60 68 76 84 92 100
AThere is a strong positive linear correlation.
BThere is a strong negative linear correlation.
CThere is no correlation between the variables.
DThere is a non-linear relationship.
Multiple choice · diagramSee Answer + Explanation →
3
A student calculates a linear regression for a set of data and creates the residual plot shown below. Based on this residual plot, is a linear model appropriate for the data? Explain your reasoning.
Residual Plot x-value Residual 0 1.4 2.8 4.2 5.6 7 -1 -0.6 -0.19999999999999996 0.19999999999999996 0.6000000000000001 1
AYes, because the residuals are randomly scattered.
BNo, because the residuals show a clear U-shaped pattern.
CYes, because all residuals are positive.
DNo, because the residuals are too far from the x-axis.
Multiple choice · diagramSee Answer + Explanation →
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