2. Calculate Karl Pearson's co-efficient of correlation between percentage of pass and failure from the following data. No. of student (x): 800 600 900 700 500 400 No. passed (v): 480 300 450 560 450 300
Q: 10. The director of an alumni association for a small college wants to determine whether there is…
A: N=6 Data is given for contribution according to years. We have to calculate correlation coefficient…
Q: Identify the true statements about the correlation coefficient, ?. a. When the data points in a…
A: Correlation measures the strength of association. It measures how strongly two variables are…
Q: Is there a relationship between (X) rate of poverty (measured as a percent of population below…
A: The objective of this question is to determine whether the correlation between the rate of poverty…
Q: A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200…
A: Given The data is as follows: Total no. of companies = 200 Correlation coefficient, r=0.3
Q: Imagine that a professor of psychology has two teaching assistants (TAS) who will help him grade…
A: The data for the z-scores of a population of 10 students for a professor and two training assistants…
Q: (b) Compute the correlation coefficient between the price of eggs and the price of milk. Round the…
A: Define the variable dozen eggs as x and the variable gallon of milk as y.
Q: Which of the following sets of data represent valid functions? OS = {(0, – 1), (3, 1), (6, 4), (7,…
A: Function: A function from X to Y denoted by f:X→Y is defined as the given set of order pair x, y…
Q: How do I calculate e and g Modern medical practice tells us not to encourage babies to become…
A: Simple linear regression model: A simple linear regression model is given as y^ = b0 + bx + e…
Q: The correlation coefficient equals ___
A: Here independent variable (x) = hockey team shooting percentage Dependent variable (y) = number of…
Q: The scatter plot for a set of X and Y values shows the data points clustered in a nearly perfect…
A: It is given that the scatterplot for a set of X and Y values show the data points clustered in a…
Q: Let X1 and X2 be two independent random variables. X, is normal N(1, 4) and X2 is normal N(1,2).…
A:
Q: When can a correlation coefficient based on an observational study be used to support a claim of…
A: When can a correlation coefficient based on an observational study be used to support a claim of…
Q: Identify the true statements about the correlation coefficient, ?. A correlation coefficient of…
A: The symbol r stands for the correlation coefficient for samples, whereas the Greek letter rho stands…
Q: 2. Consider the following examples; would you expect the correlation coefficient to be close to 1,…
A: The objective of the question is to predict the correlation coefficient for the given pairs of…
Q: The table for part (a) shows distances between selected cities and the cost of a business class…
A:
Q: A set of n=4 of X and Y scores produces a Pearson correlation of r=0.20.The x values vary from…
A: Given that A set of n=4 of X and Y scores produces a Pearson correlation of r=0.20.The x values vary…
Q: For a set of negatively correlated data, you calculate that 7% of the variation in the dependent…
A: Suppose the given data set is negatively correlated.The coefficient of determination: .
Q: You wish to determine if there is a linear correlation between the age of a driver and the number of…
A: The correlation coefficient can be obtained using excel function as follow: Enter the provided data…
Q: A set of n = 15 pairs of scores (X and Y values) has SSX = 4, SSY = 25, and SP = 6. What is the…
A:
Q: Percentage Who parts (a) through (d) below. Won't Try Don't Approve of Marriage Equality Sushi…
A: (a) Obtain the correlation coefficient between the percentage of people who wont try sushi and…
Q: Assume the following table lists campaign spending, in thousands of dollars, by candidates for…
A: In this case, Spending is the independent variable (x) and Percentage of the popular vote (y), is…
Q: When the Pearson correlation coefficient r=-602, then the strength of the correlation is: moderate…
A: The provided information is as follows:The correlation coefficient is .
Q: a) Use the equation of the regression line to predict the score for someone who has consumed 4…
A: The regression equation is given by y = -0.9 x + 8.7 Where x is number of ounces of alcohol…
Q: (4) The following data examines whether there is a relationship between the number of absences in a…
A: Given: Absences (x) Final Grade (y) 6 74 9 60 4 75 2 87 0 92 5 74 4 80 3 82 6…
Q: A positive correlation between two variables X and Y means: If you increase the X value, this will…
A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…
Q: Christina obtained the following results for about 500 families: Average weight of husband = 170…
A: To estimate the average weight of women who were married to 200 lbs. men, we need to find the…
Q: (b) Compute the correlation coefficient between the price of eggs and the price of milk. Round the…
A: X Y X \cdot YX⋅Y X^2X2 Y^2Y2 1.96 3.47 6.8012 3.8416 12.0409 1.80 3.43 6.174 3.24 11.7649…
Q: Which of the following interpretations of correlation is false? 1.Correlation is useful in deciding…
A: Solution Correlation measures the linear relationship between the variables.
Q: True or False The correlation coefficient is a measure of thestrength of a linear relation between…
A: The correlation coefficient is a measure of the strength of a linear relationship between two…
Q: For each of the following situations, indicate why the correlation coefficient might be a distorted…
A: Corr coefficient shows the degree to which 2 variables are related.
Q: Percentage Who Won't Try Don't Approve of Marriage Equality Use the data to the right to complete…
A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…
Q: 1. In your own words, what does it mean to have a linear correlation (Give an example of one that is…
A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…
Q: Suppose the correlation, r, between two variables x and y is –0.44. What percentage of the…
A: From the given information,Correlation coefficient = -0.44,Coefficient of correlation is the linear…
Q: What is the value of the linear correlation coefficient "r" for the fol y 2 4 1.
A: The formula for the relation correlation coefficient is given as follows r=∑xi-x∑yi-y∑xi-x2∑yi-y2
Q: Discuss the reasons why the Pearson Correlation Coefficient, or "r" is also referred to as: 1.…
A: Correlation coefficient r is standardized value of covariance. It is normalized measurement of the…
Q: If the correlation between two variables is close to 0, you can conclude that a scatterplot would…
A: Given are the three multiple choice questions, we need to choose one correct answer.
Q: What is Pearson's r correlation coefficient for a set of data with the following values: X = [1, 2,…
A: x y (X-Mx) (Y-My) (X-Mx)2 (Y-My)2 (X-Mx)*(Y-My) 1 2 -2 -4 4 16 8 2 4 -1 -2 1 4 2 3 6 0 0 0 0 0…
Q: A value of r close to 0 indicates what type of linear correlation between the two variables? a.…
A: A value of r close to 0 indicates that either variables have no correlation or weak correlation.
Q: Which value of r, the correlation coefficient, represents data with a strong positive linear…
A:
Q: Which of the following values could not represent a correlation coefficient? r= 0.98 r = 1.09 r =…
A: The value of correlation coefficient lies between -1 and +1.
Q: For a data set of brain volumes (cm3) and IQ scores of ten males, the linear correlation…
A: Here the p-value indicates the probability of linear correlation coefficient is 38.4%
Q: c. If a buyer's annual income increases by $1000, the model's predicted change in DOLLARS of the…
A: given data regression equation : y^ = 33.44 + 2.02xhere x = annual income (in thousands of dollars)y…
Q: 4. Which of the following values of r indicates the strongest correlation? .82 O.361
A: Correlation quantifies the strength of the relationship between 2 variables. The direction of the…
Q: ice of eggs and milk: The following table presents the average price in dollars for a dozen eggs and…
A: Dozen eggs (X) :-1.77, 1.94, 1.96, 1.89, 1.96, 1.83, 1.80, 2.01 Gallon of milk (Y):-3.43, 3.52,…
Q: A set of n=4 pairs of X and Y value has SSx=6, SSy=18, and SP=9, for these data, what is the pearson…
A: Given information- No. of pairs, n = 4 Sum of square of x (SSx) = 6 Sum of square of y (SSy) = 18…
Step by step
Solved in 2 steps with 2 images
- Use the data to the right to complete parts (a) through (d) below. Percentage Who Won't Try Don't Approve of Sushi Marriage Equality Generation Millennials y 32 39 Gen X Boomers Silent/Greatest Generation 54 52 61 55 69 66 a. Determine the correlation coefficient between the percentage of people who won't try sushi and the percentage who do not approve of marriage equality. (Do not round until the final answer. Then round to two decimal places as needed.) b. What explanations can you offer for the correlation coefficient in part (a)? Choose the correct answer below. O A. Unwillingness to try sushi and disapproval of marriage equality have a weak positive correlation. O B. Unwillingness to try sushi and disapproval of marriage equality have a strong negative correlation. C. Unwillingness to try sushi and disapproval of marriage equality have no correlation. O D. Unwillingness to try sushi and disapproval of marriage equality have a strong positive correlation. c. Find the equation of…2. Consider the following examples; would you expect the correlation coefficient to be close to 1, -1, or 0 (10 points): The amount of time a dog is walked, and the number of hours the dog sleeps at night Outdoor temperature and snowfall. The length of time someone wears braces and their SAT scores. 3. The following graph represents the amount of time that someone studies for their final exam, and their final examination grade (HINT) (20 points). Student 1 Student 2 Student 3 Student 4 Student 5 Student 6 Hours Studied 4 7 11 8 10 8 Final Exam Grade 55% 72% 88% 93% 91% 84% Graph the following students as ordered pairs. Let the x-axis represent the hours studied, and the y-axis represent the students’ final exam grade. Circle the value that best represents the estimate of r: (circle one) -0.99, -0.62, -0.30, 0, 0.30, 0.75, 0.85, 0.99The ages of the runners in a race and their finishing positions are given in the following table. Assuming x is the finish position and y is the person's age, is there a significant correlation between age and finishing position? Answer Choices Not significant Not one of these Significant at both 5% and 1% Significant at 5% but not 1% Significant at 1%
- Suppose the correlation coefficient r=0.16 Find:a. The coefficient of determination r2= (round to 3 decimal places)b. The percentage of explained variation = % (round to 1 decimal place)c. The percentage of unexplained variation = % (round to 1 decimal place)2. State whether the variables described have a positive correlation, a negative correlation, or no correlation. (a) Income and SAT scores (b) Length of a person's hair and how far they sit from the screen in a movie theater. (c) Hours of exercise per week and blood pressure.The older that an adult tends to be before deciding to get married, the longer the person's marriage tends to last. What type of correlation exists between age of marriage and the number of years the marriage lasts? A. positive B. negative
- As temperature decreases, rates of crime also seem to decrease. Which of the following Pearsons R values represents the strongest possible correlation between these two variables?" -0.5 -1 0.5 1Data collected from a sample of 8 students relating study time (x in hours per week) and leisure time (y in hours per week) yielded the information shown below. What is the value of the sample correlation coefficient? Enter your answer accurate to TWO (2) decimal places. X= 59.37 Y = 4.25 SS= 1843.87 SS, = -49.75 SS, = 7.55If the linear correlation coefficient between the weights (in kg) and heights (in inches) of 6 randomly selected males is 0.95, then 95% of the variation in weights of males can be explained by the linear correlation between height and weight? 1. True 2. False
- A correlation coefficient (r) of .40 implies that: ____ Group of answer choices 16 percent of the variation in the dependent variable is explained by the independent variable. 84 percent of the variation in the dependent variable is explained by the independent variable. 60 percent of the variation in the dependent variable is explained by the independent variable. 40 percent of the variation in the dependent variable is explained by the independent variable.A psychologist has calculated the correlation between two variables as 0.9. Which of the following statements is correct? a. The average value of y changes by 0.9 when x is increased by 1. b. The average value of x changes by 0.9 when y is increased by 1. c. The explanatory variable ( x ) explains 0.9 of the variation in the response variable ( y ) d. The explanatory variable ( x ) explains 0.81 of the variation in the response variable ( y )A national consumer magazine reported the following correlations. The correlation between car weight and car reliability is - 0.30. . The correlation between car weight and annual maintenance cost is 0.20. Which of the following statements are true? I. Heavier cars tend to be less reliable. II. Heavier cars tend to cost more to maintain. III. Car weight is related more strongly to reliability than to maintenance cost. (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III
