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Practice - Bivariate Statistics (Level C)
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Practice Page
Directions: Read carefully.

1.

A scatter plot is shown in the coordinate plane.

Which of the following graphs most closely approximates a line of best fit for the data in this scatter plot?

 scatterplot1
Choose:
scatterplot1a
 scatterplot1b
scatterplot1c
 scatterplot1dd

 

 

2.
Students in grades 7 and 8 were randomly surveyed to determine if they preferred "snowboarding" or "skateboarding".
"Boarding" Preference
Students
MathBits
snowboarding
skateboarding
Total
Grade 7
130
110
240
Grade 8
140
120
260
Total
270
230
500
 
Which statement is true regarding the data in this survey?
Choose:
30% of grade 8 students prefer skateboarding.
38% of grade 7 students prefer snowboarding.
54% of the students prefer snowboarding.
42% of the students prefer skateboarding.

 

 

3.
A scatter plot of data is shown at the right. Which correlation (association) best describes the data?

Choose:
positive correlation
negative correlation
nonlinear correlation
no correlation
nocorrel

 

 

4.
The table below shows the relationship between total fat grams and the total calories in a selection of fast food sandwiches. This data can be modeled by the line y = 13x + 143, where x is the total fat in grams and y is the total calories.
 

calorietable

Based upon the model equation, what is the best prediction of the total calories for a sandwich with 36 total grams of fat?

Choose:
630
 611 610 598

 

 

5.
Allison collected data to see if there was a relationship between students having blue eyes and the students wearing yellow on the day of the survey. She randomly surveyed 62 students and obtained the following data:
• 12 students had blue eyes
• 50 students did not have blue eyes
• 40 students were wearing yellow
• 22 students were not wearing yellow
Survey
Wearing Yellow
Not Wearing Yellow
Blue Eyes
A
B
Not Blue Eyes
C
D       MathBits

Which of the following values for A, B, C and D (in that order) could be used to complete the table above regarding Allison's data?
  Choose:
12, 40, 22, 50
12, 10, 28, 22
10, 2, 30, 20
12, 2, 32, 18

 

 

6.
Students in grades 7 and 8 were randomly surveyed to determine if they received "8 hours or more" or "less than 8 hours" of sleep.
Hours of Sleep
Students
8 hours or more
less than 8 hours
Grade 7
58
73
Grade 8
48
82      MathBits

Based on the results of this survey, which of the following statements are true?
(Check all that apply, and hit SUBMIT!)
 

A total of 130 grade 8 students were surveyed.

More grade 8 students were surveyed than grade 7 students.

More than 50% of the grade 8 students surveyed slept 8 hours or more.

Less than 50% of the grade 7 students surveyed slept 8 hours or more.

More than 50% of the students surveyed slept 8 hours or more.

A total of 106 grade 7 students were surveyed.

A total of 261 students were surveyed.


        

 

 

7.
The number of hours spent babysitting and the amount of money earned is plotted at the right. The line of best fit has the equation y = 1.2x + 2.

 


Which of the following statements can be considered a valid prediction based upon this data?

 baby
  Choose:
For each additional hour spent babysitting, an additional $1.20 will be earned.
For each additional hour spent babysitting, an additional $2.00 will be earned.
For babysitting 10 hours, you can expect to earn $20.00.
For babysitting 10 hours, you can expect to earn $18.20.

 

 

8.
The table shows the number of grams of carbohydrates, x, and the number of calories, y, of six different foods. The line of best fit is
y = 14.1x + 5.8.
Using the equation, estimate the number of carbohydrates in a food containing 154 calories.
Choose:
10.2
10.5
11
11.2
calorie

 

 

9.
A survey was conducted of 150 randomly selected students asking:
"Which social media do you check first at the end of a school day?".
The results are shown below:
Twitter
Facebook
YouTube
Instagram
40
48
32
30    MathBits
The results of this survey are used to make a generalization regarding all of the 650 students in the school building. Based upon this survey, what would be the number of students in the building who first check Facebook at the end of the school day?

Choose:
140
204
208
217

 

 

10.
Data is randomly collected from students regarding the number of hours they slept the night before a big test, and their scores on the test.

The scatter plot displays the data.
The line of best fit has the equation y = 3.2x + 64.4.

Which of the following statements best describes what the slope and y-intercept of the equation represent?

 sleepgraph
 
Choose:
The slope represents an increase of 3.2 points in test score for every additional hour of sleep; the y-intercept is the most likely score (64.4) with no sleep before the test.
The slope represents an increase of 5 points in test score for every additional hour of sleep; the y-intercept is the most likely score (0) with no sleep before the test.
The slope represents an increase of 3.2 points in test score for every additional hour of sleep; the y-intercept is the most likely score (67.6) with no sleep before the test.
The slope represents an increase of 5 points in test score for every additional hour of sleep; the y-intercept is the most likely score (64.4) with no sleep before the test.

 

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