Question 1

Accepted Answer

A) Linear association,moderately strong association 
B) Positive association 
C) Linear association 
D) Positive association,moderately strong association,linear association 
E) Positive association,moderately strong association 
A) Linear association,moderately strong association 
B) Positive association 
C) Linear association 
D) Positive association,moderately strong association,linear association 
E) Positive association,moderately strong association

Question 2

The table contains the daily study time for students from Statistics 101 and the grades on their quiz. $$\begin{array}{l}
\text { Minutes on Grade on }\
\begin{array} { c c } 
\text { Homework } & \text { Quiz } \
\hline 15 & 2 \
35 & 5 \
45 & 5 \
60 & 10 \
65 & 9 \
35 & 7 \
50 & 8 \
50 & 7 \
10 & 1 \
\hline
\end{array}
\end{array}$$

Accepted Answer

The answer of The table contains the daily study time...

Question 3

The paired data below consist of the height of children (in cm)and their reading scores. $$\begin{array} { c | c } 
\text { Height } ( \mathrm { cm } ) & \text { Reading Scores } \
\hline 117.5 & 62.9 \
128.9 & 67.9 \
122.6 & 64.9 \
131.4 & 71.9 \
132.7 & 72.9 \
136.5 & 75.9 \
120.0 & 64.9 \
139.1 & 76.9
\end{array}$$

Accepted Answer

A) 0.933 
B) 0.883 
C) 0.988 
D) 0.978 
E) 0.982 
A) 0.933 
B) 0.883 
C) 0.988 
D) 0.978 
E) 0.982

Question 4

Litres remaining in a tank of gas,kilometres driven since filling up.

Accepted Answer

A) Negative,linear,moderate 
B) Negative,nonlinear,strong 
C) Negative,nonlinear,moderate 
D) Positive,nonlinear,strong 
E) Positive,linear,moderate 
A) Negative,linear,moderate 
B) Negative,nonlinear,strong 
C) Negative,nonlinear,moderate 
D) Positive,nonlinear,strong 
E) Positive,linear,moderate

Question 5

Accepted Answer

A) Positive association,linear association 
B) Positive association,moderately strong association 
C) Positive association,linear association,very strong association 
D) Linear association,very strong association 
E) Linear association,moderately strong association 
A) Positive association,linear association 
B) Positive association,moderately strong association 
C) Positive association,linear association,very strong association 
D) Linear association,very strong association 
E) Linear association,moderately strong association

Question 6

A scientist collects data to predict the wheat yield (in bushels per acre)based on rainfall (in millimetres).The results are recorded in the table below. $$\begin{array} { c | c } 
\begin{array} { c } 
\text { Rainfall } \
( \mathrm { mm } )
\end{array} & \begin{array} { c } 
\text { Wheat Yield } \
\text { (bushels per acre) }
\end{array} \
\hline 11.9 & 61.8 \
8 & 26.4 \
11.6 & 51.2 \
18.4 & 79.1 \
9 & 41.5 \
10.9 & 42.9 \
15.1 & 71 \
13.5 & 54.6
\end{array}$$

Accepted Answer

A) 0.932 
B) 0.943 
C) 0.952 
D) 0.942 
E) 0.941 
A) 0.932 
B) 0.943 
C) 0.952 
D) 0.942 
E) 0.941

Question 7

Adam would like to buy a used car,and collected several data to evaluate the best model (such as age,price,weight,etc.)Thanks to a scatterplot,he established that the relation between age and weight is somewhat linear.He calculated that the correlation between age and weight is 0.515.Describe the association.

Accepted Answer

A) Weak linear relation 
B) No evidence of relation 
C) Weak linear relation in a positive direction 
D) Weak linear relation in a negative direction 
E) Strong linear relation in a positive direction 
A) Weak linear relation 
B) No evidence of relation 
C) Weak linear relation in a positive direction 
D) Weak linear relation in a negative direction 
E) Strong linear relation in a positive direction

Question 8

The relationship between two quantities x and y is examined,and the association is shown in the scatterplot below.   Describe the association between these variables shown in the scatterplot.

Accepted Answer

A) Fairly linear,weak relationship 
B) Fairly exponential,strong relationship 
C) Fairly linear,strong relationship 
D) Fairly exponential,weak relationship 
E) Fairly quadratic,weak relationship 
A) Fairly linear,weak relationship 
B) Fairly exponential,strong relationship 
C) Fairly linear,strong relationship 
D) Fairly exponential,weak relationship 
E) Fairly quadratic,weak relationship

Question 9

Accepted Answer

A) Linear association,moderately strong association 
B) Positive association,linear association 
C) Moderately strong association 
D) Linear association 
E) Little or no association 
A) Linear association,moderately strong association 
B) Positive association,linear association 
C) Moderately strong association 
D) Linear association 
E) Little or no association

Question 10

Almost all of the acidity of soda pop comes from the phosphoric acid which is added to give them a sharper flavor.Is there a relation between the pH of the soda and the amount of phosphoric acid (in grams)? The pH and phosphoric acid content of 12 ounces of several brands of soda are shown on the following scatterplot.The correlation between pH and phosphoric acid is $$- 0.956$$ .Describe the association.

Accepted Answer

A) Strong relation in a negative direction 
B) Weak linear relation in a negative direction 
C) Strong linear relation in a positive direction 
D) Very strong linear relation in a negative direction 
E) No evidence of relation 
A) Strong relation in a negative direction 
B) Weak linear relation in a negative direction 
C) Strong linear relation in a positive direction 
D) Very strong linear relation in a negative direction 
E) No evidence of relation

Question 11

Data collected from students in Statistics classes included their heights (in inches)and weights (in pounds).For the $$\text { students' heights }$$ and weights,the correlation is 0.653.Suppose the variable weight is recorded in kilograms rather than in pounds.What will be the correlation?

Accepted Answer

A) 0.653 in./kg 
B) -0.653 
C) 0.653 kg/in. 
D) 0.653 
E) 1.438 in./kg 
A) 0.653 in./kg 
B) -0.653 
C) 0.653 kg/in. 
D) 0.653 
E) 1.438 in./kg

Question 12

Adult weight (kg):,Adult height (m):

Accepted Answer

A) Adult weight (kg): both Adult height (m): both 
B) Adult weight (kg): explanatory Adult height (m): response 
C) Adult weight (kg): response Adult height (m): explanatory 
D) Adult weight (kg): explanatory Adult height (m): both 
E) Adult weight (kg): both Adult height (m): explanatory 
A) Adult weight (kg): both Adult height (m): both 
B) Adult weight (kg): explanatory Adult height (m): response 
C) Adult weight (kg): response Adult height (m): explanatory 
D) Adult weight (kg): explanatory Adult height (m): both 
E) Adult weight (kg): both Adult height (m): explanatory

Question 13

Owners of a new computer store tracked sales (in thousands)for the first 12 days,and displayed the data in a scatterplot.Make a histogram of the daily sales since the shop has been in business.

Accepted Answer

The answer of Owners of a new computer store tracked...

Question 14

A clothes shop owner tries to predict the winter collection sales by displaying the coats sales (in dollars)and the outside temperature (in degrees Fahrenheit)on the following scatterplot.He calculates that the correlation between coats sales and temperature is -0.737.Suppose the variable temperature is recorded in degrees Celsius rather than in degrees Fahrenheit.What will be the correlation?

Accepted Answer

A) -0.737 $o$ F ? $ 
B) -18.187 $o$ F ? $ 
C) 0.737 
D) -0.737 $o$ F / $ 
E) -0.737 
A) -0.737 $o$ F ? $ 
B) -18.187 $o$ F ? $ 
C) 0.737 
D) -0.737 $o$ F / $ 
E) -0.737

Question 15

How tired you are,hours of sleep

Accepted Answer

A) Positive,linear,moderate 
B) Positive,nonlinear,moderate 
C) Negative,nonlinear,moderate 
D) Negative,nonlinear,strong 
E) Negative,linear,moderate 
A) Positive,linear,moderate 
B) Positive,nonlinear,moderate 
C) Negative,nonlinear,moderate 
D) Negative,nonlinear,strong 
E) Negative,linear,moderate

Question 16

Dioxins are a class of long-lived and highly toxic pollutants.The topsoil concentration of dioxins in parts per million (ppm)are shown in the table below as a function of the distance from the dump. $\begin{array}{l}
\begin{array}{l|l}
&\text { Dioxin }\
\text { Distance from } & \text { concentration } \
\text { dump (metres) } & (\text { ppm) } \
\hline 21 & 423 \
\hline 42 & 235 \
\hline 49 & 140 \
\hline 79 & 65 \
\hline 102 & 35 \
\hline 128 & 45 \
\hline 157 & 22 \
\hline 204 & 14 \
\hline 248 & 9
\end{array}
\end{array}$ Re-express the dioxin concentration by taking the reciprocal square root of the data,then plot the re-expressed data as a scatterplot.

Accepted Answer

The answer of Dioxins are a class of long-lived and...

Question 17

The relationship between two quantities x and y is examined,and the association is shown in the scatterplot below.   Describe the association between these variables shown in the scatterplot.

Accepted Answer

A) Fairly linear,negative,weak relationship 
B) Fairly linear,negative,strong relationship 
C) Fairly linear,positive,weak relationship 
D) Fairly linear,positive,strong relationship 
E) Fairly exponential,strong relationship 
A) Fairly linear,negative,weak relationship 
B) Fairly linear,negative,strong relationship 
C) Fairly linear,positive,weak relationship 
D) Fairly linear,positive,strong relationship 
E) Fairly exponential,strong relationship

Question 18

Accepted Answer

A) Linear association 
B) Negative association,linear association 
C) Little or no association 
D) Moderately strong association 
E) Linear association,moderately strong association 
A) Linear association 
B) Negative association,linear association 
C) Little or no association 
D) Moderately strong association 
E) Linear association,moderately strong association

Question 19

Oranges: circumference (centimetres),oranges: weight (grams)

Accepted Answer

A) Negative,nonlinear,moderate 
B) Negative,linear,moderate 
C) Positive,linear,moderate 
D) Positive,nonlinear,moderate 
E) Positive,no form,strong 
A) Negative,nonlinear,moderate 
B) Negative,linear,moderate 
C) Positive,linear,moderate 
D) Positive,nonlinear,moderate 
E) Positive,no form,strong

Question 20

A study shows that the amount of chocolate consumed in Canada and the number of automobile accidents is positively related.Find the lurking variable,if there is one.

Accepted Answer

A) Vacation 
B) Speed 
C) Children 
D) Population growth 
E) No lurking variable 
A) Vacation 
B) Speed 
C) Children 
D) Population growth 
E) No lurking variable

The paired data below consist of the height of children (in cm)and their reading scores. Height () Reading Scores 117.5 62.9 128.9 67.9 122.6 64.9 131.4 71.9 132.7 72.9 136.5 75.9 120.0 64.9 139.1 76.9

Litres remaining in a tank of gas,kilometres driven since filling up.

A scientist collects data to predict the wheat yield (in bushels per acre)based on rainfall (in millimetres).The results are recorded in the table below. Rainfall () Wheat Yield (bushels per acre) 11.9 61.8 8 26.4 11.6 51.2 18.4 79.1 9 41.5 10.9 42.9 15.1 71 13.5 54.6

The relationship between two quantities x and y is examined,and the association is shown in the scatterplot below. Describe the association between these variables shown in the scatterplot.

Adult weight (kg):,Adult height (m):

Owners of a new computer store tracked sales (in thousands)for the first 12 days,and displayed the data in a scatterplot.Make a histogram of the daily sales since the shop has been in business.

How tired you are,hours of sleep

The relationship between two quantities x and y is examined,and the association is shown in the scatterplot below. Describe the association between these variables shown in the scatterplot.

Oranges: circumference (centimetres),oranges: weight (grams)

A study shows that the amount of chocolate consumed in Canada and the number of automobile accidents is positively related.Find the lurking variable,if there is one.

Stats Starts Here

Displaying and Describing Categorical Data

Displaying and Summarizing Quantitative Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Linear Regression

Regression Wisdom

Understanding Randomness

Sample Surveys

Experiments and Observational Studies

From Randomness to Probability

Probability Rules

Random Variables

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

The Bootstrap

Filters

Exam 6: Scatterplots, association, and Correlation

The table contains the daily study time for students from Statistics 101 and the grades on their quiz. Minutes on Grade on Homework Quiz 15 2 35 5 45 5 60 10 65 9 35 7 50 8 50 7 10 1

The paired data below consist of the height of children (in cm)and their reading scores. Height () Reading Scores 117.5 62.9 128.9 67.9 122.6 64.9 131.4 71.9 132.7 72.9 136.5 75.9 120.0 64.9 139.1 76.9

Litres remaining in a tank of gas,kilometres driven since filling up.

A scientist collects data to predict the wheat yield (in bushels per acre)based on rainfall (in millimetres).The results are recorded in the table below. Rainfall () Wheat Yield (bushels per acre) 11.9 61.8 8 26.4 11.6 51.2 18.4 79.1 9 41.5 10.9 42.9 15.1 71 13.5 54.6

The relationship between two quantities x and y is examined,and the association is shown in the scatterplot below. Describe the association between these variables shown in the scatterplot.

Adult weight (kg):,Adult height (m):

Owners of a new computer store tracked sales (in thousands)for the first 12 days,and displayed the data in a scatterplot.Make a histogram of the daily sales since the shop has been in business.

How tired you are,hours of sleep

The relationship between two quantities x and y is examined,and the association is shown in the scatterplot below. Describe the association between these variables shown in the scatterplot.

Oranges: circumference (centimetres),oranges: weight (grams)

A study shows that the amount of chocolate consumed in Canada and the number of automobile accidents is positively related.Find the lurking variable,if there is one.

Stats Starts Here

Displaying and Describing Categorical Data

Displaying and Summarizing Quantitative Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Linear Regression

Regression Wisdom

Understanding Randomness

Sample Surveys

Experiments and Observational Studies

From Randomness to Probability

Probability Rules

Random Variables

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

The Bootstrap

Filters