Mind on Statistics
Mind on Statistics
5th Edition
ISBN: 9781285463186
Author: Jessica M. Utts, Robert F. Heckard
Publisher: Brooks Cole
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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Chapter 3, Problem 3.55E

Refer back to Exercise 3.7 about stopping distance and vehicle speed. The least squares line for these data is Average distance = -44.2 + 5.7 (Speed)

  1. Use this equation to estimate the average stopping distance when the speed is 80 miles per hour Do you think this is an accurate estimate? Explain.

  • Draw a scatterplot of the data, as instructed in Exercise 3.7(b). Use the scatterplot to estimate the average stopping distance for a speed of 80 mph.
  • Do you think the data on stopping distance and vehicle speed shown in Exercise 3.7 describe the relationship between these two variables for all situations? What are some other variables that should be considered when the relationship between stopping distance and vehicle speed is analyzed?

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    Chapter 3 Solutions

    Mind on Statistics

    Ch. 3 - For each of the following pairs of variables, is...Ch. 3 - For each of the following pairs of variables, is...Ch. 3 - The figure for this exercise is a scatter plot of...Ch. 3 - Prob. 3.4ECh. 3 - Prob. 3.5ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - The data in the following table are the geographic...Ch. 3 - Refer to the latitude and temperature data in the...
    Ch. 3 - Prob. 3.11ECh. 3 - The following table shows sex, height (inches),...Ch. 3 - Prob. 3.13ECh. 3 - Refer to Exercise 3.13 in which a regression...Ch. 3 - Prob. 3.15ECh. 3 - Prob. 3.16ECh. 3 - The equation for converting a temperature from x =...Ch. 3 - The average August temperatures (y) and geographic...Ch. 3 - A regression equation for y = handspan (cm) and x...Ch. 3 - Imagine a regression line that relates y average...Ch. 3 - Prob. 3.21ECh. 3 - The figure for Exercise 3.8 is a scatterplot of...Ch. 3 - Refer to Exercise 3.22. Predict the pulse rate...Ch. 3 - The average January temperatures (y) and...Ch. 3 - Prob. 3.25ECh. 3 - Prob. 3.26ECh. 3 - Prob. 3.27ECh. 3 - Remember that r2 can be expressed as a proportion...Ch. 3 - Prob. 3.29ECh. 3 - Prob. 3.30ECh. 3 - Prob. 3.31ECh. 3 - Prob. 3.32ECh. 3 - Prob. 3.33ECh. 3 - Explain how two variables can have a perfect...Ch. 3 - Prob. 3.35ECh. 3 - Prob. 3.36ECh. 3 - The figure for this exercise (below) shows four...Ch. 3 - Refer to the figure for the previous exercises. In...Ch. 3 - Prob. 3.39ECh. 3 - Prob. 3.40ECh. 3 - Prob. 3.41ECh. 3 - Prob. 3.42ECh. 3 - Prob. 3.43ECh. 3 - The correlation between latitude and average...Ch. 3 - Prob. 3.45ECh. 3 - Prob. 3.46ECh. 3 - In a regression analysis, the total sum of squares...Ch. 3 - Prob. 3.48ECh. 3 - Suppose you know that the slope of a regression...Ch. 3 - Prob. 3.50ECh. 3 - Prob. 3.51ECh. 3 - Prob. 3.53ECh. 3 - Prob. 3.54ECh. 3 - Refer back to Exercise 3.7 about stopping distance...Ch. 3 - Prob. 3.56ECh. 3 - Prob. 3.57ECh. 3 - Prob. 3.58ECh. 3 - Prob. 3.59ECh. 3 - Prob. 3.60ECh. 3 - Prob. 3.61ECh. 3 - Prob. 3.62ECh. 3 - Prob. 3.63ECh. 3 - Prob. 3.64ECh. 3 - Prob. 3.65ECh. 3 - Prob. 3.66ECh. 3 - Prob. 3.67ECh. 3 - Prob. 3.68ECh. 3 - Prob. 3.69ECh. 3 - Prob. 3.70ECh. 3 - Prob. 3.71ECh. 3 - Given tickets for traffic violations than drivers...Ch. 3 - Prob. 3.73ECh. 3 - Prob. 3.74ECh. 3 - Prob. 3.75ECh. 3 - Prob. 3.76ECh. 3 - Prob. 3.77ECh. 3 - Prob. 3.78ECh. 3 - Prob. 3.79ECh. 3 - The heights (inches) and foot lengths (cm) of 33...Ch. 3 - Prob. 3.81ECh. 3 - The winning time in the Olympic men’s 500-meter...Ch. 3 - Prob. 3.83ECh. 3 - Prob. 3.84ECh. 3 - Prob. 3.86ECh. 3 - Prob. 3.87ECh. 3 - Prob. 3.88ECh. 3 - Prob. 3.89ECh. 3 - Use the dataset ceodata0t on the companion website...Ch. 3 - Prob. 3.91ECh. 3 - Prob. 3.92ECh. 3 - Prob. 3.93ECh. 3 - Prob. 3.94ECh. 3 - Prob. 3.95ECh. 3 - Prob. 3.96ECh. 3 - Prob. 3.97ECh. 3 - Prob. 3.98ECh. 3 - Prob. 3.99ECh. 3 - Prob. 3.100E
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