The explanatory variable.

Question

The masses measured on a population of 100 animals were grouped in the following table, after being recorded to the nearest gram Mass 89 90-109 110-129 130-149 150-169 170-189 > 190 Frequency 3 7 34 43 10 2 1 You are given that the sample mean of the data is 131.5 and the sample standard deviation is 20.0. Test the hypothesis that the distribution of masses follows a normal distribution at the 5% significance level.

Answer 1

Question

Chapter 4.3, Problem 31AYU

(a)

To determine

To identify: The explanatory variable.

(b)

To determine

To explain: Why the provided data is considered as bivariate quantitative data.

(c)

To determine

To draw: The scatter diagram of the provided data.

To determine

To comment: On association between width and length of data set.

(d)

To determine

To compute: Correlation coefficient of the provided data.

(e)

To determine

Whether the variables share a linear relationship.

(f)

To determine

The regression line.

(g)

To determine

To predict: The length for the width of 500 yards.

(h)

To determine

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

(i)

To determine

To interpret: The slope.

(j)

To determine

To explain: Reason that the y−intercept cannot be interpreted.

(k)

To determine

To compute: The proportion of variability of the tornado length explained by its width.

(l)

To determine

To plot: The residual plot.

To determine

To interpret: Whether the residual plot suggests that variables are linearly related.

(m)

To determine

To draw: Boxplots of the residuals.

To determine

Whether there are any outliers.

(n)

To determine

Whether the added observation is influential.

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The masses measured on a population of 100 animals were grouped in the following table, after being recorded to the nearest gram Mass 89 90-109 110-129 130-149 150-169 170-189 > 190 Frequency 3 7 34 43 10 2 1 You are given that the sample mean of the data is 131.5 and the sample standard deviation is 20.0. Test the hypothesis that the distribution of masses follows a normal distribution at the 5% significance level.

state without proof the uniqueness theorm of probability function

(a+b) R2L 2+2*0=? Ma state without proof the uniqueness theorm of probability function suppose thatPandQ are probability measures defined on the same probability space (Q, F)and that Fis generated by a π-system if P(A)=Q(A) tax for all A EthenP=Q i. e. P(A)=Q(A) for alla g // معدلة 2:23 ص

Answer 2

Question

Chapter 4.3, Problem 31AYU

(a)

To determine

To identify: The explanatory variable.

(b)

To determine

To explain: Why the provided data is considered as bivariate quantitative data.

(c)

To determine

To draw: The scatter diagram of the provided data.

To determine

To comment: On association between width and length of data set.

(d)

To determine

To compute: Correlation coefficient of the provided data.

(e)

To determine

Whether the variables share a linear relationship.

(f)

To determine

The regression line.

(g)

To determine

To predict: The length for the width of 500 yards.

(h)

To determine

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

(i)

To determine

To interpret: The slope.

(j)

To determine

To explain: Reason that the y−intercept cannot be interpreted.

(k)

To determine

To compute: The proportion of variability of the tornado length explained by its width.

(l)

To determine

To plot: The residual plot.

To determine

To interpret: Whether the residual plot suggests that variables are linearly related.

(m)

To determine

To draw: Boxplots of the residuals.

To determine

Whether there are any outliers.

(n)

To determine

Whether the added observation is influential.

Expert Solution & Answer

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Answer 3

Question

Chapter 4.3, Problem 31AYU

(a)

To determine

To identify: The explanatory variable.

(b)

To determine

To explain: Why the provided data is considered as bivariate quantitative data.

(c)

To determine

To draw: The scatter diagram of the provided data.

To determine

To comment: On association between width and length of data set.

(d)

To determine

To compute: Correlation coefficient of the provided data.

(e)

To determine

Whether the variables share a linear relationship.

(f)

To determine

The regression line.

(g)

To determine

To predict: The length for the width of 500 yards.

(h)

To determine

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

(i)

To determine

To interpret: The slope.

(j)

To determine

To explain: Reason that the y−intercept cannot be interpreted.

(k)

To determine

To compute: The proportion of variability of the tornado length explained by its width.

(l)

To determine

To plot: The residual plot.

To determine

To interpret: Whether the residual plot suggests that variables are linearly related.

(m)

To determine

To draw: Boxplots of the residuals.

To determine

Whether there are any outliers.

(n)

To determine

Whether the added observation is influential.

Expert Solution & Answer

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Answer 4

Question

Chapter 4.3, Problem 31AYU

(a)

To determine

To identify: The explanatory variable.

(b)

To determine

To explain: Why the provided data is considered as bivariate quantitative data.

(c)

To determine

To draw: The scatter diagram of the provided data.

To determine

To comment: On association between width and length of data set.

(d)

To determine

To compute: Correlation coefficient of the provided data.

(e)

To determine

Whether the variables share a linear relationship.

(f)

To determine

The regression line.

(g)

To determine

To predict: The length for the width of 500 yards.

(h)

To determine

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

(i)

To determine

To interpret: The slope.

(j)

To determine

To explain: Reason that the y−intercept cannot be interpreted.

(k)

To determine

To compute: The proportion of variability of the tornado length explained by its width.

(l)

To determine

To plot: The residual plot.

To determine

To interpret: Whether the residual plot suggests that variables are linearly related.

(m)

To determine

To draw: Boxplots of the residuals.

To determine

Whether there are any outliers.

(n)

To determine

Whether the added observation is influential.

Expert Solution & Answer

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Answer 5

Chapter 4.3, Problem 31AYU

(a)

To determine

To identify: The explanatory variable.

(b)

To determine

To explain: Why the provided data is considered as bivariate quantitative data.

(c)

To determine

To draw: The scatter diagram of the provided data.

To determine

To comment: On association between width and length of data set.

(d)

To determine

To compute: Correlation coefficient of the provided data.

(e)

To determine

Whether the variables share a linear relationship.

(f)

To determine

The regression line.

(g)

To determine

To predict: The length for the width of 500 yards.

(h)

To determine

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

(i)

To determine

To interpret: The slope.

(j)

To determine

To explain: Reason that the y−intercept cannot be interpreted.

(k)

To determine

To compute: The proportion of variability of the tornado length explained by its width.

(l)

To determine

To plot: The residual plot.

To determine

To interpret: Whether the residual plot suggests that variables are linearly related.

(m)

To determine

To draw: Boxplots of the residuals.

To determine

Whether there are any outliers.

(n)

To determine

Whether the added observation is influential.

Answer 6

Chapter 4.3, Problem 31AYU

(a)

To determine

To identify: The explanatory variable.

Answer 7

Chapter 4.3, Problem 31AYU

(a)

To determine

To identify: The explanatory variable.

Answer 8

(b)

To determine

To explain: Why the provided data is considered as bivariate quantitative data.

Answer 9

(b)

To determine

To explain: Why the provided data is considered as bivariate quantitative data.

Answer 10

(c)

To determine

To draw: The scatter diagram of the provided data.

Answer 11

(c)

To determine

To draw: The scatter diagram of the provided data.

Answer 12

To determine

To comment: On association between width and length of data set.

Answer 13

To determine

To comment: On association between width and length of data set.

Answer 14

(d)

To determine

To compute: Correlation coefficient of the provided data.

Answer 15

(d)

To determine

To compute: Correlation coefficient of the provided data.

Answer 16

(e)

To determine

Whether the variables share a linear relationship.

Answer 17

(e)

To determine

Whether the variables share a linear relationship.

Answer 18

(f)

To determine

The regression line.

Answer 19

(f)

To determine

The regression line.

Answer 20

(g)

To determine

To predict: The length for the width of 500 yards.

Answer 21

(g)

To determine

To predict: The length for the width of 500 yards.

Answer 22

(h)

To determine

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

Answer 23

(h)

To determine

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

Answer 24

(i)

To determine

To interpret: The slope.

Answer 25

(i)

To determine

To interpret: The slope.

Answer 26

(j)

To determine

To explain: Reason that the y−intercept cannot be interpreted.

Answer 27

(j)

To determine

To explain: Reason that the y−intercept cannot be interpreted.

Answer 28

(k)

To determine

To compute: The proportion of variability of the tornado length explained by its width.

Answer 29

(k)

To determine

To compute: The proportion of variability of the tornado length explained by its width.

Answer 30

(l)

To determine

To plot: The residual plot.

Answer 31

(l)

To determine

To plot: The residual plot.

Answer 32

To determine

To interpret: Whether the residual plot suggests that variables are linearly related.

Answer 33

To determine

To interpret: Whether the residual plot suggests that variables are linearly related.

Answer 34

(m)

To determine

To draw: Boxplots of the residuals.

Answer 35

(m)

To determine

To draw: Boxplots of the residuals.

Answer 36

To determine

Whether there are any outliers.

Answer 37

To determine

Whether there are any outliers.

Answer 38

(n)

To determine

Whether the added observation is influential.

Answer 39

(n)

To determine

Whether the added observation is influential.

Answer 40

Expert Solution & Answer

Answer 41

Expert Solution & Answer

Answer 42

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Answer 43

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Answer 44

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Answer 45

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Answer 46

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Answer 47

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Answer 48

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Answer 49

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Answer 50

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Answer 51

Ch. 4.1 - 1. What is the difference between univariate data...Ch. 4.1 - Prob. 2AYU Ch. 4.1 - Prob. 3AYU Ch. 4.1 - 4. What does it mean to say two variables are...Ch. 4.1 - Prob. 5AYU Ch. 4.1 - 6. True or False: If the linear correlation...Ch. 4.1 - 7. A ______ variable is a variable that is related...Ch. 4.1 - Prob. 8AYU Ch. 4.1 - Prob. 9AYU Ch. 4.1 - Prob. 10AYU

The explanatory variable.

Concept explainers

Videos

To identify: The explanatory variable.

To explain: Why the provided data is considered as bivariate quantitative data.

To draw: The scatter diagram of the provided data.

To comment: On association between width and length of data set.

To compute: Correlation coefficient of the provided data.

Whether the variables share a linear relationship.

The regression line.

To predict: The length for the width of 500 yards.

Whether the tornado with width 180 yards and length 1.9 miles is greater than expected.

To interpret: The slope.

To explain: Reason that the y−intercept cannot be interpreted.

To compute: The proportion of variability of the tornado length explained by its width.

To plot: The residual plot.

To interpret: Whether the residual plot suggests that variables are linearly related.

To draw: Boxplots of the residuals.

Whether there are any outliers.

Whether the added observation is influential.

Chapter 4 Solutions

Additional Math Textbook Solutions