For numbers 21 to 25: A survey on lamb farms was conducted and data were collected on the followingvariables from a random sample of 30 farmers.Y = average live weight of ewes (kg)X₁ = area of grazing land (m²)X₂ = proportion of farm area that cannot be cultivatedX3 = proportion of area closed for lambs before weaningThe computed correlation coefficients of the independent variables with Y are summarized below:VariableX₁X₂X3r-0.0030.2830.157p-value0.4560.0210.03521. The use of Pearson's correlation analysis between the average live weight of ewes and the othervariables is valid becauseI.The collected data are quantitative.One variable will be used to predict the other variable.a.I onlyb.ll onlyC.Both I and IId. Neither I nor IIII.

Given information: Sample size=30Y=Average live weight of ewes (kg)X1=Area of grazing land…

Answered: 21. The use of Pearson's correlation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Pearson correlation coefficient would indicate that the data set below has a(n): A. strong positive relationship. B. strong negative relationship. C. undefined relationship because the line is horizontal. D. relationship that is near zero because no linear relationship exists.
The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statement
11. 1.0 8.3 1.0 4.0 10- 9- 10- 9 2.0 5.2 2.0 5.7 8- 3.0 9.8 3.0 6.9 7 6- 7- 4.0 6.1 6+ 54 4+ x 3 4.0 4.3 5- 5.0 1.7 5.0 5.2 4- 6.0 | 5.1 3 6.0 8.1 2- 2 7.0 | 5.7 1- 7.0 9.2 1- 8.0 3.8 8.0 6.7 9.0 9.6 9.0 8.9 10.0 6.6 Figure 1 10.0 8.0 Figure 2 m 114 3.3 10- 1.0 1.0 7.7 10+ 9- 2.0 4.5 9- 2.0 6.9 3.0 3.8 3.0 8.1 6- 4.0 6.1 5.0 7.0 4.0 5.2 5- 5- 5.0 | 4.3 4- 6.0 4.5 4. 3 2- 6.0 7.1 7.0 2 5.9 7.0 5.2 8.0 7.6 8.0 | 3.6 9.0 6.9 9.0 4.6 10.0 7,7 | Figure 3 10.0 3.1 Figure 4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample cc be the correct answer for more than one question. Explanation Check O oololole
6. Which of these relationships would be better described with a Spearman's rank coefficient than with a Pearson's coefficient? a. The association between income and educational attainment (measured in years of school) b. The association between hours of sleep and score on an exam C. The association between years aged and price of wine d. The association between ice cream sales and crime rates e. The association between number on NY Times Best Seller List and copies of book sold
A2. A study of test results at different schools shows that as the student-to-teacher ratio increases the average test result tends to decrease, although the relationship is quite weak. Which of the following is plausible value for the correlation between student-to- teacher ratio and average test results? A -0.9 B -0.3 C -0.01 D 0.3 E 0.9
4. Consider the following data: XINMASSN 1 2 3 4 5 6 7 y 6 7 5 4 3 1 2 a) Make a scatterplot of these data. The variable labeled "x" should be plotted along the x-axis. Describe the pattern. b) Find the correlation coefficient for these data.
If when measuring two quantitative variables on an individual, we find that increases in the first variable x correspond to decreases in the second variable y, we say that A. there is a positive association between the two variables. b. there is a negative association between the two variables. c. there is no correlation between the two variables. d. there is a cause-and-effect relationship between the two variables.
Tinder and Online Dating: Everything Up to the Pearson Coefficient Which statistical test could be used to determine if there was a relationship between the two variables, degree of narcissism and quality of jawline? a. z test b. single-sample t test c. paired-samples t test d. independent-samples t test e. one-way between-groups ANOVA f. one-way within-groups ANOVA g. two-way between-groups ANOVA h. Pearson Correlation Coefficient
Bt.20.
2.) The table shown below are the raw scores obtained by eight (8) students. Is there a relationship in their scores in Mathematics and in Biology? Use Pearson Product-Moment Coefficient of Correlation to establish the relationship. Student 1 3 4 6. 8. Mathematics (x) 6. 3. 4 3 Biology (y) 8. 3. 7 4
6. Which of the following are true? Select all that apply. a. The coefficient of determination is the proportion of variation in the response variable that is explained by the regression line. b. We often use the symbol r to represent the coefficient of determination. c. In simple linear regression, the coefficient of determination equals the square of the linear correlation coefficient r. d. The closer the regression line comes to the data points, r should go to eleven.
10. The sign of the Pearson’s correlation coefficient (r) tells us what information? a. only the strength of the correlation (small, medium, or large) b. only the direction of the correlation (negative or positive) c. both the strength and direction of the correlation d. the strength, direction, and form of the correlation

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21. The use of Pearson's correlation analysis between the average live weight of ewes and the other variables is valid because I. The collected data are quantitative. II. One variable will be used to predict the other variable. a. I only b. ll only C. Both I and II d. Neither I nor II