1. It was found that the mean scores in algebra (X) and statistics (Y) for a group of students are 80 and 71.72222 and the corresponding standard deviations are 13.39 and 13.08. If the correlation coefficient is approximately -0.5, what could be a likely equation of the equation of best fit?   A. y = 110.65 + 0.49 x   B. y = 110.65 - 0.49 x   C. y = 110.65 x + 0.49   D. y = 110.65 x - 0.49   2. How do you interpret the correlation in this problem?   A. Higher the algebra score, higher is the score in statistics.   B. Higher the algebra score, lower is the score in statistics.   C. Lower the algebra score, lower is the score in statistics.   D. No meaningful conclusion can be made.   3. In order to obtain the line of best fit to predict peak flow rate (l/min) based on height of a person (in cm), the slope is calculated as 4.5 and the intercept as -153.9. What would be the predicted peak flow rate in l/min for a person who is 160 cm tall?   A. 24628.5   B. -24619.5   C. 873.9   D. 566.1

Q: 16. Calculate coefficient of correlation from the data given below by the direct ndtood, Le.,…

A:

Q: A study was done to look at the relationship between number of lovers college students have had in…

A: a. Correlation coefficient measures the strength and direction of the linear relationship between…

Q: Under what circumstances is the point-biserial correlation used?​ a - when both X and Y are…

A: The point biserial correlation coefficient (rpb) is a correlation coefficient used when one variable…

Q: The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the…

A: Given that  Correlation coefficient=r r=0.707 ,

Q: As we have noted in previous chapters, even a very small effect can be significant if the sample is…

A: Given, Correlation coefficient, r = 0.60 sample size n = 10 Degree of freedom, n-2 = 8  α = .05…

Q: An equity analyst is required to calculate the correlation coefficient between two securities, ABC…

A: In this case, Cov(X,Y) is the covariance between X and Y, sx is the standard deviation of x and sy…

Q: It was calculated as bxy=1.6 and bYX=0.4 in a dataset for variables x and Y. Correlation coefficient…

A: Given  bxy=1.6 , bYX=0.4 Correlation coefficient=R=√(bxy.bYX)

Q: the value of Spearman's correlation coefficient for the association between chocolate consumption…

A: chocolate consumption nobel prize rank1 rank2 diff diff^2 4.5 5.5 12.5 15 2.5 6.25 8.5 24.4 6.5…

Q: Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In…

A: Solution: From the given information,

Q: Consider the model Y = B1 + B2X + e, which we estimate using a random sample with 12 observations.…

A:

Q: Which of the following statements is false? 1. Taller people tend to be heavier than shorter…

A: If the correlation coefficient between the two variables is zero then there is no linear…

Q: If y is the dependent variable and X is the independent variable. And if the sum of the cross…

A: Given,σx=3.15  ,  σy=2.68∑(x-x¯)(y-y¯)=-51sample size(n)=16

Q: 15. If x₁=Y1+ y2, X2 = y2 + Y3, x3 = y3+y₁, where y₁, y2 y3 are correlated variables each of which…

A:

Q: Is a linear relationship between S1 and S2 appropriate? Justify your response. Is the role of S1…

A: 1) Is a linear relationship between S1 and S2 appropriate? Justify your response The output :…

Q: A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a…

A: Correlation coefficient measures the strength and direction of the linear relationship between two…

Q: 8. A Pearson's r correlation coefficient that is equal to 0.49 means that: - O The degree or…

A: Solution :- The degree or strength of the influence of one variable towards the variable is moderate…

Q: 2. With the growth of internet service providers, a researcher decides to examine whether there is a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Which of the following values could not represent a correlation coefficient? 0 1.032 0.927 -1

A: We have given that the different correlation coefficient values.

Q: In a dataset, X is the independent variable, and Y is the dependent variable, and r is Karl…

A: Given  Karl Pearson's coefficient of correlation is r=-0.0999

Q: If a researcher is interested in the correlation between sex (male/female) and political party…

A: Phi coefficient : The phi coefficient is a measure of association for two binary variables. Negative…

Q: The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the…

A: The claim is that there is a linear correlation between the given variables.

Q: A set of n = 25 pairs of scores (X and Y values) has a Pearson correlation ofr=0.80. How much of the…

A: Given r=0.80

Q: Which of the following statements is INCORRECT about correlation coefficient? O a. Correlation…

A: The question is about properties of correlation coefficient   To find : Incorrect statement about…

Q: A sociologist is investigating the relationship between job satisfaction and work-life balance. For…

A: Since you have posted a question with multiple sub parts, according to our guidelines we can solve…

Q: Compute Karl Pearson's coefficient of correlation between per capita National Income and per capita…

A:

Q: (1) If X is measured in dollars (S), and Y is measured in meters (m), what is the unit of…

A: Solution: 1. From the given information, X is measured in dollars and Y is measured in meters.   The…

Q: If the correlation coefficient between number of years of experience of an employee and the monthly…

A: Given data:  r= 0.814 So coefficient of determination= (0.814)^2 = 0.6626

Q: 12. For the following table: х з Y 2 4 Spearman's correlation coefficient equals 8 4 11 O -0.46 O…

A: Given, n=3

Q: A set of n = 11 pairs of scores (X and Y values) has SSX = 6, SSY = 55, and SP = 8. The Pearson…

A: From the provided information, Number of observations (n) = 11 SSx = 6, SSy = 55 and SP = 8

Q: 4. The following Table represents values of sales for a one kind of yogurt factories through the…

A:

Q: The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the…

A:

Q: 11. Find out the likely production corresponding to a rainfall of 40 cms. from the following data:…

A: Regression equation : The equation is written as Y= a + bX, wherever Y is that the variable (the…

Q: In a study of possible correlation between the height in cm (X) and the weight in kg (Y) of…

A: Given that, Let the height be independent variable (X) and weight be dependent variable (Y). The…

Q: In a sample analysis with 50 respondents, we wanted to study the relationship between the number X…

A:

Q: a) If a distribution is skewed, it's better to give the median and IQR instead of the mean and…

A: HERE AS PER POLICY I SHOULD HAVE  TO CALCULATE 3 SUB PART EVEN THOUGH I HAVE CALCULATED 4 here use…

Q: Consider the given sets of explanatory variables and response variables. The exact values of X1 and…

A: The last statement the correlation coefficients for these two tables would not be the same is not…

Q: In a dataset, X is the independent variable, and Y is the dependent variable, and r is Karl…

A:

Q: 2. A researcher performed a Pearson correlation analysis on the variables anxiety, wellbeing and…

A: The correlation matrix for three variables anxiety, wellbeing and stress is given, where the value…

Q: In a question on correlation, the value of r is 0.917 and its probable error is 0.034. What would be…

A:

Q: If the Pearson correlation coefficient (r) between two variables is 0.6, what's the proportion of…

A:

Q: A set of n = 5 pairs of X and Y values has SSX = 10, SSY = 40 and Sum of product ()= 10.  For these…

A: The Pearson correlation measures the relationship between two variables X and Y. The Pearson…

Q: A population has a u=50 and o=10. If these scores are transformed into z- Scores, the population of…

A: Given that mean =  E(X) = 50 and SD(X) = 10, then  Var(X) = 102 = 100

Q: For a pearson correlation of r=-.85, a graph of the data should show _________ a) points widely…

A: Given Information Person correlation = -0. 85 Correlation is very strong. It means if x related to…

Q: Suppose the correlation between N and W is 0.2. What is oy4w (rounded to four decimal places)?

A:

Q: A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding…

A:

Q: 10. If x1, x2 and x3 are three variates measured from their respective means as origin and of equal…

A:

Q: 20.10. A random sample of 30 pairs of obeservations from a normal population shows a correlation…

A:

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: 1. Of the following measurement levels, which is required for the valid calculation of the Spearman…

A: As per Bartleby guidelines. We solve first 3 parts.

Q: A set of n=5 pairs of X  and Y has SSx=16, SSy=4 and SP=2. for these data , what is the Pearson…

A:

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.