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Session 4 Unit 3 Investigating Data and Statistical Reasoning (Common Assessment)

Last updated 30 days ago

20 questions

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Question 1

1.

The scatter plot below shows the average yearly income based on age.
Using the information provided in the scatter plot, state the coordinates of the outlier and explain why this point is an outlier.

(12.5, 28) is the outlier.  The outlier is located inside the general shape of the data.

(32, 35) is the outlier. The outlier is located inside the general shape of the data.

(28, 12.5) is the outlier. The outlier is located away from the general shape of the data.

(35, 32) is the outlier. The outlier is located away from the general shape of the data.

Question 2

2.

A scientist is studying the effect of rainfall on the height of a certain species of sunflower. The scatter plot shows the results. What conclusion does the data support?

With over 4.0 centimeters of rain per week, this species of sunflower will grow over 12 feet high.

If the rainfall is less than 2 centimeters, then this species of sunflower can still reach its maximum height.

This species of sunflower grows tallest when there are between 2.5 and 3 centimeters of rain per week.

This species of sunflower will not grow over 8 feet high.

Question 3

3.

Mary collected data each day on how many commercials she saw and how long she watched TV. She displayed her data in a scatter plot.
About how many commercials would someone watch if they spent 70 minutes watching Television.

10 commercials

20 commercials

16 commercials

32 commercials

Question 4

4.

What would the line of best fit reveal about this data set?

There is a strong positive relationship between the cost of rent and the size of the office space.

There is a weak positive relationship between the cost of rent and the size of the office space.

There is a weak negative relationship between the cost of rent and the size of the office space.

There is a strong negative relationship between the cost of rent and the size of the office space.

Question 5

5.

Sharon made a scatter plot comparing the shoulder heights of dogs to their weights.
Sharon’s dog has a shoulder height of 28 inches. Using a linear model, which is the best prediction of her dog’s weight?

85 pounds

105 pounds

120 pounds

90 pounds

Question 6

6.

Which line represents the best fit for the scatter plot data?

Question 7

7.

Johanna measured the height and petal length of all the flowers in her garden. She plotted her results and found that the relationship between the variables suggests a weak positive linear association with 1 outlier. Which of the following is most likely the graph Johanna made?

Question 8

8.

Choose the description that best represents the scatter plot shown.

A. age of car and number of miles traveled
B. age of car and sales price of car
C. age of car and number of states traveled to

Explain how the description you picked represents the scatter plot shown.

Question 9

9.

Which data will most likely show a positive correlation when graphed on a scatter plot? Hint: Draw a scatter plot to represent each example. First variable given represents the x axis the second variable represents the y axis.

the temperature of a cup of hot chocolate and the length of time the cup sits on the counter

the number of toppings added and the price of a pizza

the height of a candle and the amount of time the candle stays lit

the amount of rainfall on Fridays

Question 10

10.

Consider the scatter plot shown.
Which of the following statements BEST describes the association?

The data shows a negative association with a trend line of y  =  - 2x – 3

The data shows a negative association with a trend line of y  = - 2x + 3

The data shows a positive association with a trend line of y = 2x – 3

The data shows a positive association with a trend line of y = - 2x + 10

Question 11

11.

The scatter plot shows the number of absences in a week for classes of different sizes. Trevor concluded that there is a positive correlation between class size and the number of absences.
Which of the following statements BEST describes why Trevor’s conclusion was incorrect?

The largest class does not have the most absences.

The data shows a negative relationship between class size and number of absences.

The smallest class does not have the least number of absences.

The data shows no relationship between class size and the number of absences.

Question 12

12.

The scatter plot shows the lowest priced fares for flights from Baltimore to various destinations. A line of best fit has been graphed.

The equation for this line of best fit is shown, where d is the distance in miles and f is the fare in dollars.
f = 0.1d + 100
Which of these is a CORRECT interpretation of the slope of this line?

The fare increases $100 for every additional 0.1 mile.

The fare increases $0.10 for every additional mile.

The fare increases $0.10 for every additional 100 miles.

The fare increases $10 for every additional mile.

Question 13

13.

The relationship between the number of bags of popcorn that are sold and the price per bag are graphed on a coordinate plane. Which scatter plot BEST represents the line of best fit for the set of data?

Question 14

14.

The manager of an outdoor theater space wanted to find out if ticket prices affect the number of people who attend a concert.

What type of association (positive, negative, no) is shown between the price of a ticket and concert attendance? Explain your answer. Be specific.

Question 15

15.

The manager of an outdoor theater space wanted to find out if ticket prices affect the number of people who attend a concert.

Does the data represented show a linear or nonlinear relationship? Explain your answer.

Question 16

16.

The manager of an outdoor theater space wanted to find out if ticket prices affect the number of people who attend a concert.

Does the data contain a possible outlier? If so, approximate the coordinates of the point of the outlier and explain why this point is considered an outlier using the information provided in the scatter plot.

Question 17

17.

The scatter plot shows data regarding the number of years worked and the average hourly wage for a job.
Part A: Which of the following is the MOST reasonable equation for the line of best fit?

Question 18

18.

The scatter plot shows data regarding the number of years worked and the average hourly wage for a job.
Part B: Use the equation from Part A to make a conjecture about the hourly wage for someone who worked 7 years. Explain or show your work.

Question 19

19.

The scatter plot shows data regarding the number of years worked and the average hourly wage for a job.
Part C: What is the y-intercept in the line of best fit? What does the y-intercept represent in the scatter plot?

Question 20

20.

Choose the scatter plot that best represents the described relationship.

The number of hours of free time and the number of college classes taken.