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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

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: at Home

Problem Id	Problem	Options
1	Which of the following could be an equation for a line of best fit for the data in the scatterplot? $1$	A) y = - x - 6 B) y = - x + 6 C) y = 6x + 1 D) y = 6x - 1
2	An airplane descends from an altitude 9,500 of feet to 5,000 feet at a constant rate of 400 feet per minute. What type of function best models the relationship between the descending airplane’s altitude and time?	A) Decreasing exponential B) Decreasing linear C) Increasing exponential D) Increasing linear
3	The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit? $3$	A) 1% B) 3% C) 10% D) 7%
4	An inspector begins a day of work with a large sample of shirts that need to be checked for defects. The inspector works at a constant rate throughout the morning. What type of model is best to model the number of shirts remaining to be checked for defects at any given time throughout the morning?	A) A linear model with a positive slope. B) An exponential decay model. C) An exponential growth model. D) A linear model with a negative slope.
5	The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y = 0.096x - 0.488. What does the line of best fit predict about the increase in the minimum wage over the 70-year period? $5$	A) Each year between 1940 and 2010, the average increase in minimum wage was 0.49 dollars. B) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars. C) Each year between 1940 and 2010, the average increase in minimum wage was 0.096 dollars. D) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.488 dollars.
6	The scatterplot above shows a company’s ice cream sales d, in dollars, and the high temperature t, in degrees Celsius (°C), on 12 different days. A line of best fit for the data is also shown. Which of the following could be an equation of the line of best fit? $6$	A) d = 10t + 402 B) d = 33t + 300 C) d = 33t + 84 D) d = 0.03t + 402
7	For x > 0 , the function f is defined as follows: f(x) equals 201% of x Which of the following could describe this function?	A) Increasing linear B) Increasing exponential C) Decreasing linear D) Decreasing exponential
8	A farmer wants to analyze the relationship between the amount of fertilizer used (in kilograms) and the crop yield (in tons per hectare) for a particular crop. The data for a sample of 6 fields is given below: a) Calculate the mean and standard deviation of the amount of fertilizer used. b) Calculate the mean and standard deviation of the crop yield. c) Calculate the correlation coefficient between the amount of fertilizer used and the crop yield. $8$	A) a) 22.17 b) 0.361 c) 0.134 B) a) 22.36 b) 0.265 c) 0.465 C) a) 23.23 b) 1.235 c) 2.365 D) a) 23.56 b) 1.258 c) 3.256
9	A car manufacturer wants to study the relationship between the speed of a car (in km/h) and the distance it takes to stop (in meters) under emergency braking conditions. The data for a sample of 5 cars is given below: a) Calculate the mean and standard deviation of the speed of the cars. b) Calculate the mean and standard deviation of the stopping distance. c) Calculate the correlation coefficient between the speed and stopping distance. $9$	A) a) 14.56 b) 10.28 c) - 0.625 B) a) 14.14 b) 10.08 c) - 0.513 C) a) 15.23 b) 11.23 c) - 1.256 D) a) 16.58 b) 11.78 c) - 1.458
10	A researcher wants to study the relationship between the amount of time spent studying (in hours) and the score obtained on a test. The data for a sample of 6 students is given below: a) Calculate the mean and standard deviation of the time spent studying. b) Calculate the mean and standard deviation of the test scores. c) Calculate the correlation coefficient between the time spent studying and the test scores. $10$	A) a) 2.669 b) 9.458 c) - 21.56 B) a) 2.229 b) 9.464 c) - 21.71 C) a) 3.254 b) 10.236 c) - 21.85 D) a) 3.587 b) 10.547 c) - 22.36

Problem Id

Problem

Options

Which of the following could be an equation for a line of best fit for the data in the scatterplot?

$1$

A) y = - x - 6

B) y = - x + 6

C) y = 6x + 1

D) y = 6x - 1

An airplane descends from an altitude 9,500 of feet to 5,000 feet at a constant rate of 400 feet per minute. What type of function best models the relationship between the descending airplane’s altitude and time?

A) Decreasing exponential

B) Decreasing linear

C) Increasing exponential

D) Increasing linear

The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit? $3$

A) 1%

B) 3%

C) 10%

D) 7%

An inspector begins a day of work with a large sample of shirts that need to be checked for defects. The inspector works at a constant rate throughout the morning. What type of model is best to model the number of shirts remaining to be checked for defects at any given time throughout the morning?

A) A linear model with a positive slope.

B) An exponential decay model.

C) An exponential growth model.

D) A linear model with a negative slope.

The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010.
A line of best fit is shown, and its equation is y = 0.096x - 0.488.
What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

$5$

A) Each year between 1940 and 2010, the average increase in minimum wage was 0.49 dollars.

B) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

C) Each year between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

D) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.488 dollars.

The scatterplot above shows a company’s ice cream sales d, in dollars, and the high temperature t, in degrees Celsius (°C), on 12 different days. A line of best fit for the data is also shown. Which of the following could be an equation of the line of best fit?

$6$

A) d = 10t + 402

B) d = 33t + 300

C) d = 33t + 84

D) d = 0.03t + 402

For x > 0 , the function f is defined as follows:
f(x) equals 201% of x
Which of the following could describe this function?

A) Increasing linear

B) Increasing exponential

C) Decreasing linear

D) Decreasing exponential

A farmer wants to analyze the relationship between the amount of fertilizer used (in kilograms) and the crop yield (in tons per hectare) for a particular crop. The data for a sample of 6 fields is given below:
a) Calculate the mean and standard deviation of the amount of fertilizer used.
b) Calculate the mean and standard deviation of the crop yield.
c) Calculate the correlation coefficient between the amount of fertilizer used and the crop yield.

$8$

A) a) 22.17
b) 0.361
c) 0.134

B) a) 22.36
b) 0.265
c) 0.465

C) a) 23.23
b) 1.235
c) 2.365

D) a) 23.56
b) 1.258
c) 3.256

A car manufacturer wants to study the relationship between the speed of a car (in km/h) and the distance it takes to stop (in meters) under emergency braking conditions. The data for a sample of 5 cars is given below:
a) Calculate the mean and standard deviation of the speed of the cars.
b) Calculate the mean and standard deviation of the stopping distance.
c) Calculate the correlation coefficient between the speed and stopping distance.

$9$

A) a) 14.56
b) 10.28
c) - 0.625

B) a) 14.14
b) 10.08
c) - 0.513

C) a) 15.23
b) 11.23
c) - 1.256

D) a) 16.58
b) 11.78
c) - 1.458

A researcher wants to study the relationship between the amount of time spent studying (in hours) and the score obtained on a test. The data for a sample of 6 students is given below:
a) Calculate the mean and standard deviation of the time spent studying.
b) Calculate the mean and standard deviation of the test scores.
c) Calculate the correlation coefficient between the time spent studying and the test scores.

$10$

A) a) 2.669
b) 9.458
c) - 21.56

B) a) 2.229
b) 9.464
c) - 21.71

C) a) 3.254
b) 10.236
c) - 21.85

D) a) 3.587
b) 10.547
c) - 22.36