Analyzing Data: Scatter Plots and Regression Models

Analyzing Data: Scatter Plots and Regression Models

9th Grade

10 Qs

quiz-placeholder

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Analyzing Data: Scatter Plots and Regression Models

Analyzing Data: Scatter Plots and Regression Models

Assessment

Quiz

English, Mathematics

9th Grade

Practice Problem

Hard

CCSS
8.EE.C.8C, 8.EE.B.5, HSF.LE.B.5

+1

Standards-aligned

Created by

Anthony Clark

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A researcher collected data on the number of hours students study and their corresponding test scores. Create a scatter plot using the following data: (2, 70), (3, 75), (4, 80), (5, 85). What trend do you observe?

The trend is fluctuating with no consistency.

There is a positive trend observed in the data.

The data shows no clear trend.

There is a negative trend observed in the data.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using the data from the previous question, apply a linear regression model to predict the test score for a student who studies for 6 hours. What is the predicted score?

80

70

65

The predicted score for a student who studies for 6 hours is 75.

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company recorded the distance driven (in miles) and the fuel consumption (in gallons) for various rentals. Create a scatter plot for the following data: (100, 3), (200, 6), (300, 9), (400, 12). What relationship do you see?

The relationship is linear; fuel consumption increases as distance driven increases.

Fuel consumption decreases as distance driven increases.

Fuel consumption remains constant regardless of distance driven.

There is no relationship between distance driven and fuel consumption.

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

From the scatter plot created in the previous question, apply a regression model to determine the equation of the line that best fits the data. What is the equation?

y = ax^2 + c

y = m + b

y = mx^2 + b

y = mx + b (specific values of m and b depend on the data)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A local gym tracks the number of members and the revenue generated each month. The data collected is as follows: (10, 500), (20, 1000), (30, 1500), (40, 2000). Create a scatter plot for this data. What does the plot suggest about the relationship?

The plot shows a quadratic relationship between the number of members and revenue.

The plot suggests a positive linear relationship between the number of members and revenue.

The plot indicates no relationship between the number of members and revenue.

The plot suggests a negative linear relationship between the number of members and revenue.

Tags

CCSS.8.EE.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using the gym data, apply a regression model to find the slope and y-intercept. What does the slope represent in this context?

The slope shows the average weight lifted in the gym.

The slope indicates the total number of gym visits per week.

The slope represents the maximum time spent in the gym.

The slope represents the change in the outcome variable per hour spent in the gym.

Tags

CCSS.HSF.LE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer measures the amount of fertilizer used (in pounds) and the yield of crops (in bushels). The data is: (10, 20), (20, 40), (30, 60), (40, 80). Create a scatter plot and describe the trend you see.

There is no relationship between fertilizer used and crop yield.

The trend is a positive linear relationship between fertilizer used and crop yield.

The trend is a negative linear relationship between fertilizer used and crop yield.

The trend is a quadratic relationship between fertilizer used and crop yield.

Tags

CCSS.HSF-LE.A.1B

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