Question

In: Math

3-2-1kathleen wants to know whether height and shoe size are realted in women. She stops and...

3-2-1kathleen wants to know whether height and shoe size are realted in women. She stops and surveys some female students on the quad and finds the following information:

Height Shoe Size
64 6.5
60 7
70 8.5
69 9.5
66 7
67 8
70 8.5
66 8
68 8.5

1)what is the covariance of there data?

2)What is the coefficient of correlation of these data?

3)What is the relationship between the two variables?

a. Can't be determined

b. Weakly positive

c. Strongly positive

d. Moderately negative

Solutions

Expert Solution

Given Data is:

Height(X) Shoe Size(Y)
64 6.5
60 7
70 8.5
69 9.5
66 7
67 8
70 8.5
66 8
68 8.5

Q1.

Covariance of X and Y is given by:

Q2.

The correlation coefficient is given by:

Hence there is a Strongly positive relationship between the two variables.


Related Solutions

Dr. Nichols wants to know whether police stops of citizens are longer in the day time...
Dr. Nichols wants to know whether police stops of citizens are longer in the day time or at night. He ran a dependent-samples t test analysis. The results of the analysis are shown here: Paired Samples Statistics Pair 1: Duration (minutes) of stops made during the day mean= 13.58 N=65 Std. Deviation= 17.843 Std. Error Mean= 2.213 Duration (minutes) of stops made at night mean=9.60 N=65 Std. Deviation = 8.891 Std. Error Mean = 1.103 Paired Sampled Correlations Pair 1:...
An advertising company wants to know whether the size of an advertisement and the color of...
An advertising company wants to know whether the size of an advertisement and the color of the advertisement make a difference in the response of magazine readers. A random sample of readers shown ads of 4 different colors and 3 different sizes. Assume that the ratings follow the normal distribution. The rating is shown in the following table: Size of Ad Color of Ad Red Blue Orange Green Small 4 3 3 8 Medium 3 5 6 7 Large 6...
Here are the height and shoe-size information from our class survey at the beginning of the...
Here are the height and shoe-size information from our class survey at the beginning of the quarter. Height (in inches) Shoe Size (US Womens) 66 10.5 64 7 67 7.5 65 7.5 64 9 68 7.5 74 14.5 67 9 72 11.5 66 7.5 64 7.5 65 8.5 72 13.5 63 8 66 8 60 8 67 7.5 I converted all our measurements so they were in the same units.   Use technology to analyze these data as in Chapters 6,7,...
Enter the Shoe Size and Height data from the In class data Excel file (use the...
Enter the Shoe Size and Height data from the In class data Excel file (use the excel in class data lab file loaded into the files section of Canvas) into the week 7 Regression Excel sheet. Create a scatter plot for the data, store and graph the regression equation, and note the r2 and r value. Looking at the graph and the r, and r^2 value, do you feel that shoe size is a good predictor for height? Explain your...
SEX   AGE   FOOT LENGTH   SHOE PRINT   SHOE SIZE   HEIGHT M   67   27.8   31.3   11.0   180.3 M  ...
SEX   AGE   FOOT LENGTH   SHOE PRINT   SHOE SIZE   HEIGHT M   67   27.8   31.3   11.0   180.3 M   47   25.7   29.7   9.0   175.3 M   41   26.7   31.3   11.0   184.8 M   42   25.9   31.8   10.0   177.8 M   48   26.4   31.4   10.0   182.3 M   34   29.2   31.9   13.0   185.4 M   26   26.8   31.8   11.0   180.3 M   29   28.1   31.0   10.5   175.3 M   60   25.4   29.7   9.5   177.8 M   48   27.9   31.4   11.0   185.4 M   30   27.5   31.4   11.0   190.5 M   43   28.8   31.6   12.0  ...
A committee of size 3 is to be selected from 6 men and 2 women. (a)...
A committee of size 3 is to be selected from 6 men and 2 women. (a) Find the probability distribution of the number of women selected in the committee, and (b) Find the standard deviation. *
Given the following relationship: Shoe Size | Height (inches) 7.5 | 66 8 | 67 8...
Given the following relationship: Shoe Size | Height (inches) 7.5 | 66 8 | 67 8 | 68 10 | 71 10.5 | 70 11 |    73 a) Letting the variable x represent shoe size and y represent height, determine the least squares regression line and correlation coefficent. b) Based on the correlation coefficient calculated above, can the least squares regression line be confidently used as a predictor of height? Why or Why not? SHow the work detailed. Thank you
Data Set Height Weight Age Shoe Size Waist Size Pocket Change 64 180 39 7 36...
Data Set Height Weight Age Shoe Size Waist Size Pocket Change 64 180 39 7 36 18 66 140 31 9 30 125 69 130 31 9 25 151 63 125 36 7 25 11 68 155 24 8 31 151 62 129 42 6 32 214 63 173 30 8 34 138 60 102 26 6 25 67 66 180 33 8 30 285 66 130 31 9 30 50 63 125 32 8 26 32 68 145 33...
Height Weight Age Shoe Size Waist Size Pocket Change 64 180 39 7 36 18 66...
Height Weight Age Shoe Size Waist Size Pocket Change 64 180 39 7 36 18 66 140 31 9 30 125 69 130 31 9 25 151 63 125 36 7 25 11 68 155 24 8 31 151 62 129 42 6 32 214 63 173 30 8 34 138 60 102 26 6 25 67 66 180 33 8 30 285 66 130 31 9 30 50 63 125 32 8 26 32 68 145 33 10 28...
Gretchen wants to know whether gender has a relationship to beverage choice among her coworkers. She...
Gretchen wants to know whether gender has a relationship to beverage choice among her coworkers. She defines beverage choice as the first beverage consumed upon arrival at work and selects a random sample of her coworkers. She records her coworkers' consumption habits one morning and the results are shown in the table. Is there sufficient evidence at the 0.05 level to say that gender and beverage choice are related? Observed Sample of 90 Coworkers: Coffee Tea Water Other Total Male...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT