Distance Travels Discussion

User Generated

Syblq1

Mathematics

Description

Unformatted Attachment Preview

Math | Graded Assignment | Unit Test, Part 2 | Bivariate Data Name: Date: Graded Assignment Unit Test, Part 2: Bivariate Data Answer the questions below. When you are finished, submit this test to your teacher for full credit. Total score: ____ of 15 points (Score for Question 1: ___ of 5 points) 1. The table shows the minimum wage rates for the United States during different years. Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009 Minimum hourly wage ($) 2.65 2.90 3.35 3.80 4.25 4.75 5.15 5.85 6.55 7.25 (a) Write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage. (b) Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work. Answer: © 2016 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 3 Math | Graded Assignment | Unit Test, Part 2 | Bivariate Data (Score for Question 2: ___ of 5 points) 2. The table shows the soil density of several soil samples at different depths. Depth (m) Soil density ( mg/cm3 ) 1 5 6 8 10 12 14 21 23 24 28 1045 1063 1102 1140 1191 1232 1249 1254 1265 1268 1273 (a) Write the quadratic regression equation that models the data. Let x = depth below the surface and let y = soil density. (b) Use the equation to estimate the soil density of a sample at a depth of 20 m. Show your work. Answer: © 2016 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 3 Math | Graded Assignment | Unit Test, Part 2 | Bivariate Data (Score for Question 3: ___ of 5 points) 3. Jackson relies on his customers to tell their friends about his business. His business grows as each customer continues to tell others about his or her experience and they in turn tell others as well. The table shows the number of people who have recommended Jackson’s business for different days after it first opens. Time (days), x 3 4 7 10 12 13 17 18 21 27 30 Number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157 (a) Write the exponential regression equation that models the data. (b) Use the equation to estimate the number of personal recommendations 60 days after Jackson opens his business. Show your work. Answer: © 2016 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 3 of 3 Math | Graded Assignment | Unit Test, Part 2 | Univariate Data Name: Date: Graded Assignment Unit Test, Part 2: Univariate Data Answer the questions below. When you are finished, submit this test to your teacher for full credit. Total score: ____ of 15 points (Score for Question 1: ___ of 4 points) 1. Ling wants to determine the average distance she travels each day in her car. She records the odometer reading, which measures the cumulative distance the car has traveled, each morning for a week. Day Odometer (mi) 1 2 3 4 5 6 7 10,150 10,211 10,424 10,769 10,884 11,155 11,477 What is the mean distance Ling travels each day? Show your work. Answer: © 2020 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 3 Math | Graded Assignment | Unit Test, Part 2 | Univariate Data (Score for Question 2: ___ of 7 points) 2. The data in the table represent the training times (in seconds) for Adam and Miguel. Adam 103 105 104 106 100 98 92 91 97 101 Miguel 88 86 89 93 105 85 92 96 97 94 (a) All of the training times of which person had the greatest spread? Explain how you know. (b) The middle 50% of the training times of which person had the least spread? Explain how you know. (c) What do the answers to Parts 2(a) and 2(b) tell you about Adam’s and Miguel’s training times? Answer: © 2020 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 3 Math | Graded Assignment | Unit Test, Part 2 | Univariate Data (Score for Question 3: ___ of 4 points) 3. The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. (a) What is the median value of each data set? (b) Compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represent? Answer: © 2020 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 3 of 3
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

View attached explanation and answer. Let me know if you have any questions.

1.
Distance travels in each day are calculated below.

Reading distance
Distance

10150
0

10211
61

10424
213

10769
345

10884
115

11155
271

11477
322

Mean of the data can be calculated using the equation below.
Mean =

∑x
N

Mean =

0 + 61 + 213 + ⋯ 322
7

Mean =

1327
7

Mean = 189.57

2.
a).
We can calculate the range of each data set to find the spread. First we need to arrange this data into a...


Anonymous
Just what I needed…Fantastic!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags