Math Problem Statement
Determine whether the scatter diagram indicates that a linear relation may exist between the two variables. If the relation is linear, determine whether it indicates a positive or negative association between the variables.
Use this information to answer the following.
020400102030ExplanatoryResponse
A scatter diagram has a horizontal axis labeled “Explanatory” from 0 to 40 plus in increments of 10 and a vertical axis labeled “Response” from 0 to 30 in increments of 5. The following 18 approximate points are plotted, listed here from left to right: (5, 29); (5, 26); (10, 25); (12, 24); (15, 24); (15, 21); (18, 22); (21, 21); (21, 18); (25, 19); (25, 16); (30, 16); (30, 13); (35, 14); (42, 10); (42, 8); (50, 6); (50, 4). The points generally fall from left to right at a constant rate.
Question content area bottom
Part 1
Do the two variables have a linear relationship?
A.
The data points do not have a linear relationship because they lie mainly in a straight line.
B.
The data points have a linear relationship because they do not lie mainly in a straight line.
C.
The data points have a linear relationship because they lie mainly in a straight line.
D.
The data points do not have a linear relationship because they do not lie mainly in a straight line.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Relationship
Scatter Plot
Negative Association
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Linear Regression Theorem
Correlation Coefficient
Suitable Grade Level
Grades 9-11
Related Recommendation
Scatterplot Analysis: Determining the Relationship Between X and Y Values
Determine Stronger Relationship in Bivariate Data Scatter Plots
Evaluating Trend Lines in Scatter Plots: Positive and Negative Correlations
Scatterplots: Identifying Explanatory and Response Variables with Association
Scatter Plot and Correlation Coefficient Exercises with Linear Regression