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Unit 3 test review

Total questions: 32

Worksheet time: 2hrs 36mins

Name
Class
Date
1.
Whose line of fit best represents the data?
a)
Edgar's line because his line passes through more data points.
b)
Edgar's line because his line passes through the first and last point in the dataset.
c)
Molly's line because there is approximately the same number of points above and below the line.
d)
Molly's line because her line passes through fewer data points.
2.
What is the equation of the trend line in the scatter plot?
a)
y= 2x - 15
b)
y= -1/2 + 20
c)
y= 1/2x + 15
d)
y= -3/6x + 20
3.
Which linear equation best represents the line of best fit in this scatterplot?
a)
y= 5/2x + 37
b)
y= -15x + 37
c)
y= -5/2x + 37
d)
y= 3x - 2.5
4.
A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y=x + 1/2 for the line of best fit. The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the y-intercept mean in this context?
a)
The sunflower's starting height is 1 foot.
b)
The sunflower's starting height is 1/2 foot.
c)
The sunflower's height increases by an additional 1 foot each week.
d)
The sunflower's height increases by an additional 1/2 foot each week.
5.
A doctor collected data to determine the association between age of an infant and its weight. She modeled the equation y = 1.25x + 7 for the line of best fit. The independent variable, x, is time in months and the dependent variable, y, is weight in pounds. What does the y-intercept mean in this context?
a)
The infant's starting weight is 7 pounds.
b)
The infant's starting weight is 1.25 pounds.
c)
The infant's weight increases by an additional 7 pounds for each month.
d)
The infant's weight increases by an additional 1.25 pounds for each month.
6.
Old Faithful is a geyser in Yellowstone National Park. The table shows the approximate length of an eruption (in minutes) and the amount of water (in gallons) in that eruption. What is the BEST interpretation of the slope in context of this problem?
a)
Each additional minute in eruption length results in a prediction of an additional 1,350 gallons of water produced.
b)
Each additional minute in eruption length results in a prediction of an additional 1,567 gallons of water produced.
c)
That the minimum amount of water produced for each additional minute in eruption length is 1,867 gallons.
d)
That the maximum amount of water produced for each additional minute in eruption length is 2,467 gallons.
7.
Maggie’s Electronics is having a big sale on their smart televisions (TVs). The scatterplot shows the relationship between days on sale and the number of TVs left in stock. Select ALL statements that are true about this scatterplot.
a)
About 7 televisions will be left in stock at the end of the 14th sale day.
b)
The scatterplot shows a negative correlation.
c)
As days on sale increase, the number of TVs left decreases.
d)
There are about 15 TVs left at the end of the 9th sale day.
e)
The scatterplot shows a positive correlation.
8.
Monica loves finding shells at the beach. The scatterplot shows the relationship of hours spent at the beach and the number of shells found.
a)
As the x-value increases, the y-value decreases.
b)
As the x-value increases, the y-value remains constant.
c)
Based on the given data, you cannot make a prediction about the relationship.
d)
As the x-value increases, the y-value increases.
9.

Jamie is making an essay for her college course. The scatterplot shows the relationship between the number of pages and the word count of each page.

Based on the data, which of these is the best prediction of the word count for a 9-page essay?

a)
1600
b)
1800
c)
2100
d)
2400
10.
What is the equation of the trend line in the scatter plot?
a)
y= -1/2x + 90
b)
y= -1/2x + 95
c)
y= 2x + 95
d)
y= 1/2x + 100
11.
What is the equation of the trend line in the scatter plot?
a)
y= 20x + 5/7
b)
y= -5/7x - 30
c)
y= 7/5x + 20
d)
y= 5/7x + 20
12.
Which graph shows the line of best fit for the data?
a)
A
b)
B
c)
C
d)
D
13.
Which graph shows the line of best fit for the data?
a)
A
b)
B
c)
C
d)
D
14.
Does this scatter plot show a positive trend, a negative trend, or no trend?
a)
Positive trend
b)
Negative trend
c)
No trend
15.
Does this scatter plot show a positive trend, a negative trend, or no trend?
a)
Positive trend
b)
Negative trend
c)
No trend
16.

What is the equation of the trend line in the scatter plot?

a)

y= 1/2 + 35

b)

y= -1/2x + 35

c)

y= x + 30

d)

y= 1/2x + 35

17.

What is the equation of the trend line in the scatter plot?

a)

y = 90

b)

y = 6/7 x - 90

c)

y = -6/7 x + 90

d)

y = x - 90

18.

What is the equation of the trend line in the scatter plot?

a)

y= x-10

b)

y= x + 10

c)

y = x

d)

25

19.

Which graph shows the line of best fit for the data?

a)

A

b)

B

c)

C

d)

D

20.

Which graph shows the line of best fit for the data?

a)

A

b)

B

c)

C

d)

D

21.

Which graph shows the line of best fit for the data?

a)

A

b)

B

c)

C

d)

D

22.

The equation for the line of best fit is y = 0.05x + 1

According to the equation, which of these statements is true?

a)

If Shannon spends 35 minutes at the batting cage, she will likely get about 3 hits in her next game.

b)

If Shannon spends 75 minutes at the batting cage, she will likely get about 7 hits in her next game.

c)

If Shannon spends 100minutes at the batting cage, she will likely get about 2 hits in her next game

d)

If Shannon spends 30minutes at the batting cage, she will likely get about 10 hits in her next game

23.

The equation for the line of best fit is y= -0.75x + 10 .

According to the equation, which of these statements is true?

a)

If a recipe had 9 ingredients, Wanda likely would have used it about once in the past year.

b)

If a recipe had 12 ingredients, Wanda likely would have used it about once in the past year.

c)

If a recipe had 10 ingredients, Wanda likely would have used it about once in the past year.

d)

If a recipe had 5 ingredients, Wanda likely would have used it about once in the past year.

24.

The equation for the line of best fit is y= -1.25 x + 18

According to the equation, which of these statements is true?

a)

In a litter of 10 puppies, the average birth weight would likely be about 4 ounces.

b)

In a litter of 5 puppies, the average birth weight would likely be about 5 ounces.

c)

In a litter of 13 puppies, the average birth weight would likely be about 1 ounces.

d)

In a litter of 7 puppies, the average birth weight would likely be about 9ounces.

25.


Lilly wants to determine the association between her deposits and her savings account balance. She found the equation y = 75x + 100 for the line of best fit. The independent variable, x, is deposits and the dependent variable, y, is account balance. What does the slope mean in this context?

a)

The starting savings account balance is $75.

b)

The starting savings account balance is $100.

c)

The account balance increases by an additional $75 for each deposit.

d)


The account balance increases by an additional $100 for each deposit.

26.


A man collected data on his weight loss while on a diet. He modeled the equation y = 295 − 5x for the line of best fit. The independent variable, x, is time in weeks and the dependent variable, y, is weight in pounds. What does the slope mean in this context?

a)

The man lost 5 additional pounds each week.

b)

The man lost a total of 5 pounds while on his diet.

c)

The man weighed 295 pounds at the start of his diet.

d)


The man lost a total of 295 pounds while on his diet.

27.

Ms. Snifflebottom warned her students about the effects of to many video games on study habits. She conducted a survey of 18 students to compare weekly hours studying with weekly hours playing video games. The results are shown in the scatter plot above. Which statement below is an accurate interpretation of the data?

a)

Students who played fewer hours on video games generally studied more.

b)

Students who play more video games tend to study more.

c)

There is no association with time spent on video games and hours studying.

d)

Students who study more, tend to play more video games.

28.

A study was conducted to determine if age was a factor in how many daily hours a dog sleeps. The average daily sleeping hours were recorded for 22 dogs on the scatter plot above. Which statement below is an accurate interpretation of the data?

a)

Dogs tend to sleep less as they grow older.

b)

Dogs tend to sleep more as they grow older.

c)

The amount of sleep a dog gets has nothing to do with age.

d)

Dogs tend to get the same amount of sleep no matter how old they are.

29.

Jordan compared the shoe size and height of 18 people to see if there was a correlation. The results of his survey is shown in the scatter plot above. What statement below is true based on the data above?

a)

There is no association with shoe size and height.

b)

Shorter people generally have larger shoe sizes.

c)

Taller people generally have larger shoe sizes.

d)

Only people over 6 feet in height can wear a size 10 shoe.

30.

Hank owns a hardware store. He wanted to determine if the price of an item affected the number of items sold. Hank collected data, which is shown in the scatterplot below. Based on this data, which inference is valid?

a)

No one will buy an item priced greater than $100.

b)

In general, as the price of an item increases, the number of items sold decreases.

c)

No trend can be found between the price of an item and the number of those items sold.

d)

In general, as the price of an item decreases, the number of items sold decreases.

31.

The scatter plot shows the relationship between exam score and study time. Which three statements are correct?

a)

Each additionally hour of studying is associated with an additional 10 point increase in exam score.

b)

The model predicts that studying for 1.5 hours will result in an exam score of 60.

c)

The model predicts that studying for 4 hours will result in an exam score of 95.

d)

The model predicts that studying for 2.5 hours will result in an exam score of 70.

32.

The scatter plot shows the relationship between the mood rating of a student and hours spent playing sports. Which statements are correct?

a)

The model predicts that a student that spent 1.5 hours playing sports will have a mood rating of 6.25.

b)

Each additionally hour of playing sports is associated with an additional 1.5 increase in mood rating.

c)

The equation y = 1.5x + 5 models the relationship between the mood rating of a student and hours spent playing sports.

d)

The model predicts that a student that spent 3.5 hours playing sports will have a mood rating of 12.25.