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Introduction to Statistics: Milestone 4 Exercises and Answers, Exams of Mathematics

A series of exercises and their corresponding answers related to introductory statistics concepts. It covers topics such as correlation, regression, and interpretation of statistical data. The exercises are designed to reinforce understanding of key concepts and provide practical application of statistical methods.

Typology: Exams

2024/2025

Available from 01/23/2025

Nursebrahim01
Nursebrahim01 🇺🇸

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INTRODUCTION TO STATISTICS
MILESTONE 4 AND ANSWERS
Two bags each contain tickets numbered 1 to 10. John draws a
ticket from each bag five times, replacing the tickets after each
draw. He records the number on the ticket for each draw from
both the bags:
Bag 1Bag 2Draw 124Draw 245Draw 313Draw 464Draw 579
For the the first bag, the mean is 4 and the standard deviation
is 2.5.For the second bag, the mean is 5 and the standard
deviation is 2.3.
Using the formula below or Excel, find the correlation
coefficient, r, for this set of tickets John drew. Answer choices
are rounded to the nearest hundredth. - CORRECT ANSWER-
ANSWER IS: 0.75
For a set of data, x is the explanatory variable. Its mean is 8.2,
and its standard deviation is 1.92. For the same set of data, y is
the response variable. Its mean is 13.8, and its standard
deviation is 3.03. The correlation was found to be 0.223.
Select the correct slope and y-intercept for the least-squares
line. - CORRECT ANSWER-Slope = 0.35
y-intercept = 10.9
Jesse takes two data points from the weight and feed cost data
set to calculate a slope, or average rate of change. A hamster
weighs half a pound and costs $2 per week to feed, while a
Labrador Retriever weighs 62.5 pounds and costs $10 per
week to feed.
Using weight as the explanatory variable, what is the slope of a
line between these two points? Answer choices are rounded to
the nearest hundredth. - CORRECT ANSWER-$0.13 / lb.
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INTRODUCTION TO STATISTICS

MILESTONE 4 AND ANSWERS

Two bags each contain tickets numbered 1 to 10. John draws a ticket from each bag five times, replacing the tickets after each draw. He records the number on the ticket for each draw from both the bags: Bag 1Bag 2Draw 124Draw 245Draw 313Draw 464Draw 579 For the the first bag, the mean is 4 and the standard deviation is 2.5.For the second bag, the mean is 5 and the standard deviation is 2.3. Using the formula below or Excel, find the correlation coefficient, r, for this set of tickets John drew. Answer choices are rounded to the nearest hundredth. - CORRECT ANSWER- ANSWER IS: 0. For a set of data, x is the explanatory variable. Its mean is 8.2, and its standard deviation is 1.92. For the same set of data, y is the response variable. Its mean is 13.8, and its standard deviation is 3.03. The correlation was found to be 0.223. Select the correct slope and y-intercept for the least-squares line. - CORRECT ANSWER-Slope = 0. y-intercept = 10. Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed. Using weight as the explanatory variable, what is the slope of a line between these two points? Answer choices are rounded to the nearest hundredth. - CORRECT ANSWER-$0.13 / lb.

A bank manager declares, with help of a scatterplot, that the number of health insurances sold may have some association with the number of inches it snows. How many policies were sold when it snowed 2 to 4 inches? - CORRECT ANSWER- 350 Which of the following statements is TRUE? - CORRECT ANSWER-High correlation does not always imply causation. Data for length of the tail (in millimeters) and age (in days) of tadpoles is entered into a statistics software package and results in a regression equation of ŷ = 15 - 1.5x. What is the correct interpretation of the slope if the length of the tail is the response variable and the age is the explanatory variable? - CORRECT ANSWER-The length of the tail decreases by 1.5 millimeters, on average, when the tadpole's age increases by 1 day. A correlation coefficient between average temperature and coat sales is most likely to be __________. - CORRECT ANSWER- between 0 and - 1 Shawna finds a study of American women that had an equation to predict weight (in pounds) from height (in inches): ŷ = - 260 + 6.6x. Shawna's height was 64 inches and her weight was 150 pounds. What is the value of the residual for Shawna's weight and height? - CORRECT ANSWER--12.4 pounds This scatterplot shows the performance of a thermocouple using the variables temperature difference and voltage. Select the answer choice that accurately describes the data's form, direction, and strength in the scatterplot. - CORRECT ANSWER-Form: The data pattern is linear. Direction: There is a positive association between temperature difference and voltage. Strength: The data pattern is strong.

best-fit line, approximately how long would the tibia bone be if the body length is 62 inches? - CORRECT ANSWER-12 inches Raoul lives in Minneapolis and he is planning his spring break trip. He creates the scatterplot below to assess how much his trip will cost. Which answer choice correctly indicates the explanatory and response variables for the scatterplot? - CORRECT ANSWER-Explanatory variable: Distance Response variable: Cost