Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term
5th Edition
ISBN: 9781305620711
Author: Roxy Peck, Chris Olsen, Jay L. Devore
Publisher: Cengage Learning
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Chapter 16.2, Problem 12E
To determine
The 95% distribution-free confidence
Interpret the interval.
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A group of students measure the length and width of a random sample of beans. They are interested in investigating the relationship between the length and width. Their summary statistics are displayed in the table below. All units, if applicable, are millimeters.
Mean width:
7.555
Stdev width:
0.914
Mean height:
12.686
Stdev height:
1.634
Correlation coefficient:
0.8203
d) If the students are interested in using the height of the beans to predict the width, calculate the slope of this new regression equation.
e) Write the equation of the best-fit line that can be used to predict bean widths. Use x to represent height and y to represent width.
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LDL (mmol/l)Subject Corn Flakes Oat Bran1 4.61 3.842 6.42 5.573 5.40 5.854 4.54 4.805 3.98 3.686 3.82 2.967 5.01 4.418 4.34 3.729 3.80 3.4910 4.56 3.8411 5.35 5.2612 3.89 3.7313 2.25 1.8414 4.24 4.14
Questions;
a) What are the appropriate null and alternative hypotheses for a two-sided test?(b) Conduct the test at the 0.05 level of significance. What is the p-value?(c) Construct a 95% confidence interval.
A group of students measure the length and width of a random sample of beans. They are interested in investigating the relationship between the length and width. Their summary statistics are displayed in the table below. All units, if applicable, are millimeters.
Mean width:
7.555
Stdev width:
0.914
Mean height:
12.686
Stdev height:
1.634
Correlation coefficient:
0.8203
a) The students are interested in using the width of the beans to predict the height. Calculate the slope of the regression equation.
b) Write the equation of the best-fit line that can be used to predict bean heights. Use x to represent width and y to represent height.
c) What fraction of the variability in bean heights can be explained by the linear model of bean height vs width? Express your answer as a decimal.
Chapter 16 Solutions
Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term
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