# Investigate patterns of association in bivariate data

Subject: ; Class: ; with 10 questions; test in 10 minutes; update 27/02/2018
 Time 10 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Math test Update 27/02/2018 Class Grade 8 Number of questions 10 View 404 Tested 3

Question 1.

Data for the numbers of fantasy books and nonfiction books that 7 students read over the summer break are provided in the chart. What is the association between the numbers of fantasy and nonfiction books?

 Students 1 2 3 4 5 6 7 Fantasy books 15 5 21 33 5 15 28 Nonfiction books 15 6 18 31 5 13 28
 (A) Positive nonlinear association (B) Positive linear association (C) Negative linear association (D) Negative nonlinear association (E) No association

Question 2.

Which of the followings describe the association between x and y data?

 (A) Positive nonlinear association (B) Negative linear association (C) Positive linear association (D) No association (E) Negative nonlinear association

Question 3.

Which of the following is the least relevant explanation of scatter plots?

 (A) One can check how data was measured (B) One can investigate outliers from scatter plots (C) One can investigate clusterings from scatter plots (D) One can check type of relationship, linear or nonlinear, from scatter plots (E) One can check type of association, positive or negative, from scatter plots

Question 4.

Researcher Ian conducted a biology experiment, and the data was fitted with a linear model with an intercept of 8 centimeters and a slope of 2centimeter/hour. Which of the following is the most accurate explanation?

 (A) An additional hour is associated with additional 2 centimeters in plant height (B) Plant height and sunlight are strongly positively associated (C) An additional hour is associated with 8 centimeters in plant height (D) Ian could predict a plant height as 122 centimeters if there are 15 hours of sunlight (E) At the starting point of experiment (i.e., no sunlight), the expected value of plant height is 2 centimeters

Question 5.

Which of the following is the least relevant description regarding straight lines?

 (A) The fit of a straight line model can be assessed by judging the closeness of the data points to the line (B) Straight lines are widely used to model relationships between two qualitative variables (C) Histograms are relevant in informally fitting a straight line (D) Using scatter plot, one can check whether straight lines are relevant for modeling the relationship (E) None of other choices

Question 6.

Teacher Gregory collected data from students in his class on which game they watched last weekend and whether they are boys or girls. The given table summarizes the data Gregory collected. Which of the following is the least accurate explanation?

 Handball Soccer Boy 3 6 Girl 4 8
 (A) A straight line model is not relevant for these two variables (B) Two variables are positively associated (C) This two way table summarized data on two categorical variables (D) Patterns of possible association of two variables can be seen in this table (E) The numbers in each cell represent frequences (i.e., counts)

Question 7.

Teacher Andrew collected data from students in his class on which game they watched last week and whether they are boys or girls. The given table summarizes the data Andrew collected. Which of the following is the most accurate explanation?

 Basketball Skin diving Boy 7 10 Girl 6 10
 (A) This two way table summarized data on two categorical variables (B) Two variables are positively associated (C) Scatter plot is also a relevant analysis for these two variables (D) A straight line model is relevant for these two variables (E) Two variables are negatively associated

Question 8.

Which of the followings describe the association between x and y data?

 x 1 2 3 4 5 y 0.9 1.8 3.2 4.2 5.2
 (A) Negative nonlinear association (B) Positive nonlinear association (C) Positive linear association (D) No association (E) Negative linear association

Question 9.

Teacher John collected data from students in his class on which game they watched last weekend and whether they are boys or girls. The given table summarizes the data John collected. Which of the following is the least accurate explanation?

 Athletics Motorcycle racing Boy 8 7 Girl 8 7
 (A) A straight line model is not relevant for these two variables (B) This two way table summarized data on two categorical variables (C) Patterns of possible association of two variables can be seen in this table (D) Two variables are positively associated (E) The numbers in each cell represent frequences (i.e., counts)

Question 10.

If f(x)=3x+ 4x− 2 and g(x)=4x− 4x+ 5, what is the value of (f − g)(−1)?

 (A) -8 (B) 0 (C) 10 (D) 6 (E) 2