Quiz In Class

Title: Two-Variable Data

Grade: 1400-a Lesson: S4-L2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id Problem Options

1

The scatterplot shows the relationship between two variables, x and y.
A line of best fit is also shown.
Which of the following equations best represents the line of best fit shown?

1

A) y = 13.5 + 0.8x

B) y = 13.5 - 0.8x

C) y = - 13.5 + 0.8x

D) y = - 13.5 - 0.8x

2

The line graph shows the percent of cars for sale at a used car lot on a given day by model year.

For what model year is the percent of cars for sale the smallest?

2

A) 2013

B) 2014

C) 2012

D) 2015

3

Which of the following is true about the value of
\$2^x\$ and 2x + 2 for x > 0?

A) For all x > 0, it is true that \$2^x\$, 2x + 2.

B) For all x > 0, it is true that \$2^x\$ < 2x + 2.

C) There is a constant c such that if 0 < x < c, then \$2^x\$ > 2x + 2, but if x > c, then \$2^x\$ < 2x + 2.

D) There is a constant c such that if 0 < x < c, then \$2^x\$ < 2x + 2, but if x > c, then \$2^x\$ > 2x + 2.

4

The scatterplot shows the relationship between two variables, x and y.
A line of best fit for the data is also shown.
Which of the following is closest to the difference between the y-coordinate of the data point with x = 1 and the y-value predicted by the line of best fit at x = 1?

4

A) 7

B) 0.7

C) - 7

D) - 0.7

5

The scatterplot below shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10‑year period of the following equations, which best models the data in the scatterplot?

5

A) y = \$1.674 "x"^2 + 19.76 "x" - 745.73 \$

B) y = \$1.674 "x"^2 - 19.76 "x" - 745.73 \$

C) y = \$- 1.674 "x"^2 + 19.76 "x" + 745.73 \$

D) y = \$1.674 "x"^2 - 19.76 "x" + 745.73 \$

6

Each dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days.
The line of best fit for the data is also shown.
The line of best fit for the data has a slope of approximately 57.
According to this estimate, how many additional people per day are predicted to visit the beach for each 5°C increase in average temperature?

6

A) 289

B) 287

C) 285

D) 291

7

The following table shows the number of hours students studied and their corresponding test scores:
a) Calculate the mean of hours studied and test scores.
b) Calculate the covariance between the number of hours studied and the test scores.
c) Calculate the correlation coefficient between the number of hours studied and the test scores.

7

A) a) 76
b) 24
c) 1.20

B) a) 78
b) 26
c) 1.25

C) a) 80
b) 28
c) 1.20

D) a) 56
b) 30
c) 1.30

8

The following table shows the number of hours students studied and the corresponding test scores for two students:
If student A studies for an additional hour and student B maintains the same study time, and they both score 85 on the test, what is the correlation coefficient between the number of hours studied and the test scores for these two students?

8

A) 0.13

B) 0.15

C) 0.17

D) 0.19

9

A company conducted a survey to study the relationship between the number of years an employee has worked at the company and their annual salary. The data for a sample of 10 employees is given below:
a) Calculate the mean and standard deviation of the years worked.
b) Calculate the mean and standard deviation of the annual salary.
c) Calculate the correlation coefficient between years worked and annual salary.

9

A) a) 6.23
b) $28.69,000
c) 8.23

B) a) 5.86
b) $28.65,000
c) 7.10

C) a) 5.89
b) $30.26,000
c) 7.56

D) a) 6.78
b) $32.23,000
c) 8.96

10

A researcher wants to investigate the relationship between the number of hours studied and the score obtained on a test. The data for a sample of 8 students is given below:
a) Calculate the mean and standard deviation of the hours studied.
b) Calculate the mean and standard deviation of the test scores.
c) Calculate the correlation coefficient between hours studied and test scores.

10

A) a) 5.48
b) 16.56
c) - 0.236

B) a) 5.43
b) 15.74
c) - 0.556

C) a) 6.23
b) 17.23
c) - 0.456

D) a) 5.36
b) 17.69
c) - 1.236


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