Question

In: Statistics and Probability

6 and 7. Listed below are heights (inches) and shoe length (inches) of 12 women. Use...

6 and 7. Listed below are heights (inches) and shoe length (inches) of 12 women. Use a 0.05 significance level to test the claim that there is a linear correlation between heights and shoe length.

Height       67 66 64 64 67 64 68 65 68 65 66 61

Shoe Length 10 7 7 9 8 8.5 8.5 8.5 9 8 7.5 6

USE A 0.05 SIGNIFICANCE LEVEL TO TEST THE CLAIM:

H0: ρ = 0

H1: ρ ≠ 0

Test Statistic: r =_________ Q24(ROUND TO 3 DECIMAL PLACES)

P-value: p=___________Q25(ROUND TO 4 DECIMAL PLACES)

Decision/Conclusion: _________________________________Q26(CIRCLE ONE BELOW) Reject H0, There is sufficient evidence to warrant the rejection of the claim that there is a linear correlation.

OR

Fail to Reject H0, There is not sufficient evidence to warrant the rejection of the claim that there is a linear correlation.

FIND THE REGRESSION EQUATION: y = a + bx

a =_____________ Q27(ROUND TO 2 DECIMAL PLACES)

b =_____________ Q28(ROUND TO 2 DECIMAL PLACES)

FIND THE BEST PREDICTED SHOE LENGTHFOR A HEIGHTOF 63: _________________Q29(ROUND TO WHOLE NUMBER)

Solutions

Expert Solution


Related Solutions

6 and 7. Listed below are heights (inches) and shoe length (inches) of 12 women. Use...
6 and 7. Listed below are heights (inches) and shoe length (inches) of 12 women. Use a 0.05 significance level to test the claim that there is a linear correlation between heights and shoe length. Height       67 66 64 64 67 64 68 65 68 65 66 61 Shoe Length 10 7 7 9 8 8.5 8.5 8.5 9 8 7.5 6 USE A 0.05 SIGNIFICANCE LEVEL TO TEST THE CLAIM: H0: ρ = 0 H1: ρ ≠ 0 Test...
The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below....
The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below. Compute a 95% confidence interval for the data below: 60.13 65.09 64.18 68.72 63.09 59.15 67.50 64.65 63.80 64.21 58.17 70.28 68.49 62.10 67.73 64.72
(Heights of Presidents since 1900) Listed below are the heights (in inches) of the Presidents who...
(Heights of Presidents since 1900) Listed below are the heights (in inches) of the Presidents who started serving in 20th until today. Assume that these values are sample data from some larger population. 67, 70, 72, 71, 72, 70, 71, 74, 69, 70.5, 72, 75, 71.5   69.5, 73, 74, 74.5, 71.5, 73.5, 72.5 (a) Find Q1 and Q3 (b) Construct a boxplot for the data (c) Find the range (d) Find the standard deviation and variance (e) Assume that the...
(Heights of Presidents since 1900) Listed below are the heights (in inches) of the Presidents who...
(Heights of Presidents since 1900) Listed below are the heights (in inches) of the Presidents who started serving in 20th until today. Assume that these values are sample data from some larger population. 67, 70, 72, 71, 72, 70, 71, 74, 69, 70.5, 72, 75, 71.5,   69.5, 73, 74, 74.5, 71.5, 73.5, 72.5, (a) Find the mean (b) Find the median (c) Find Q1 and Q3 (d) Construct a boxplot for the data (e) Find the range (f) Find the...
Below are a set of heights (in inches) and GPA scores for a sample of 6...
Below are a set of heights (in inches) and GPA scores for a sample of 6 students. Height, GPA 60, 4.0 55, 3.2 62, 3.7 55, 3.9 49, 2.4 61, 2.7 Based on this data, what is the GPA prediction for a student who is 56 inches tall? Is your GPA estimate of a 56 inch student reliable?
The heights of 14 randomly selected women are given below (in inches). The sign test at...
The heights of 14 randomly selected women are given below (in inches). The sign test at the 0.1 significance level will be used to test the claim that the population median is greater than 63 inches. 66 62.3 64.4 59.6 66 63 65.5 65.8 63 66.4 63 64.2 66 63 (a) What is the value of the test statistic used in this sign test? (b) What is the critical value in this sign test? (c) What is the correct conclusion...
Use the shoe print lengths and heights shown below to find the regression​ equation, letting shoe...
Use the shoe print lengths and heights shown below to find the regression​ equation, letting shoe print lengths be the predictor​ (x) variable. Then find the best predicted height of a male who has a shoe print length of 27.627.6 cm. Would the result be helpful to police crime scene investigators in trying to describe the​ male? Use a significance level of alphaαequals=0.05 Shoe Print​ (cm) 29.729.7 29.729.7 31.631.6 31.931.9 27.127.1 Foot Length​ (cm) 25.7 25.4 27.9 26.7 25.1 Height​...
Below are a set of heights (in inches) and GPA scores for a sample of 6 students.
  Below are a set of heights (in inches) and GPA scores for a sample of 6 students.Height, GPA60, 4.055, 3.262, 3.758, 3.949, 2.461, 2.8 a) Find the correlation coefficient (r) for these two variables by hand b) Find the mean and standard deviation for each variable. c) Find the equation of the regression line to predict GPA from height by hand d) Based on this data, what is the GPA prediction for a student who is 56 inches tall?...
The accompanying data are the shoe sizes and heights​ (in inches) of 14 men. Find the...
The accompanying data are the shoe sizes and heights​ (in inches) of 14 men. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not. ​(a) xequals=11.511.5 ​(b) xequals=8.08.0 ​(c) xequals=15.515.5 ​(d) xequals=10.0
For Questions 1-4 , use the table below. It is data for the heights (inches) for...
For Questions 1-4 , use the table below. It is data for the heights (inches) for Ms. Smith’s 4th grade class. Student Height (inches) Student Height (inches) 1 47 11 53 2 47 12 54 3 47 13 55 4 49 14 56 5 50 15 59 6 51 16 59 7 51 17 60 8 52 18 60 9 52 19 60 10 52 20 91 The median height of the students is 42.32 52.50 54.45 58.35 The standard...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT