The scatterplot below shows the relationship between two random variables X and Y. (a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. (b) If, as noted in (a), r = -0.15 t

The scatterplot below shows the relationship between two random variables X and Y. (a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. (b) If, as noted in (a), r = -0.15 t

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 46E

See similar textbooks

Related questions

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: b. What is the value of the correlation coefficient for all 10 data points? (Simplify your answer.…

A: The scatterplot is given with 10 points.

Q: What proportion of the changes in the response variables value is accounted for by the change in the…

A: It is given that The correlation coefficient r = -0.9909 for an explanatory and response variable.

Q: What is the correlation coefficient (r) for the X and Y values below? Y 9. 4. 8. 10 4 6. 6. O-53…

Q: The scatterplot shows the relationship between two random variables X and Y. - If r=0.15 then what…

A: Solution

Q: A researcher has a large number of data pairs (age, height) of humans from birth to 70 years. She…

A: a) A positive correlation is defined as the association between the two variables such that both the…

Q: What is the sample size when you obtain a correlation coefficient of r = 0.26, between two…

A: It is given that: Correlation (r) = 0.26, ∑Zx Zy = 12.9.

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: b) Compute the Correlation Coefficient for your line from (a). c) Using your answer to (b), Is there…

A: 2) a) The slope is, b=n∑xy-∑x∑yn∑x2-∑x2=5×33974-409×4135×33643-4092=953934=1.020343≈1.0203 The…

Q: this scatterplot, what value of the correlation coefficient between the variables would you select…

A: There is no pattern in the given scatterplot. Thus, there is no correlation between the variables.

Q: How large a sample is needed for a correlation of r = 0.54 to be significant using a two-tailed test…

A: It is given that the level of significance is 0.05.

Q: Answer the following questions about this Pearson’s r correlation. r = -.56, p = .03 Is the…

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

Q: Please also explain why you determined whether or not the results are statistically significant. The…

A: The sample size is 137 and the correlation between two variables is -0.78.

Q: Is there a significant correlation? Yes or No N= 30 r=0.4. 1% level

A: To test that whether there is significant correlation, we compare the calculated value of…

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: A)A set of n=12 of X and Y values produces a Pearson correlation of r= -0.70.Is this a positive of…

A: Given: The sample size is n=12. The correlation coefficient is r= -0.70.

Q: For the following scores, X Y 3 6 5 5 6 0 6 2 5 2 Sketch a scatter plot and comment…

A: Given: α =0.05 n=5

Q: 4.. For each of the following pairs of variables, indicate whether you would expect a positive…

A: If the two variables move in the same direction, that means, increase or decrease together, then it…

Q: Following is a random sample of three (x, y) pairs of data points (10, 100), (15, 50) and (6, 25).…

A: From given data, X Y X*Y X*X Y*Y 10 100 1000 100 10000 15 50 750 225 2500 6 25 150 36 625

Q: Under which circumstance can the null hypothesis NOT be rejected: The population mean and the sample…

A: In this question we have to explain which of the given option we cannot reject the null hypothesis.…

Q: Imagine that you've conducted a correlational study and your results indicate that there is a…

A: Given , r=0.40 P<0.05

Q: Use the following (hypothetical) data, meant to test the hypothesis (with a hypothetically random…

A: Given information: Case Gender HeightPerson 1 Woman ShortPerson 2 Man…

Q: Which of the following denotes the strongest correlation? a. r = 0.54 b. r = -0.63 c. r = 0.43 d. r…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Which of these statements does not contain a statistical mistake? O a. A strong correlation between…

A: Correlation ranges from -1 to 1.

Q: For a correlational study looking at the relationship between mood score and outside high…

A: Rejection rule:

Q: b. What is the value of the correlation coefficient for this data set? Does the value of r indicate…

A: The equation for least-square regression line for this data set is given by…

Q: What do you mean by the Karl Pearsons’ coefficient of correlation? Write down the properties of the…

A: Let X and Y be the random variables. Then, to observe whether there is a relation between these two…

Q: A clinical psychologist is investigating the relationship between sleep and feelings of anxiety. For…

A: To test:H0:ρ=0H1:ρ≠0

Q: After running a Pearson correlation, the researcher obtained the following results r(98) = .32, p =…

A: r(98) = .32, p = .02.

Q: After running a Pearson correlation, the researcher obtained the following results r(98) = .32, p =…

A: Solution

Q: Mika studies if age correlates with the average number of hours of sleep, so she selected a random…

A: Consider that ρ is the population correlation coefficient between Age and Sleep.

Q: c. At the 0.05 significance level, can we conclude there is a significant positive correlation?…

A: Correlation: Software procedure for correlation in EXCEL. Enter the given data in EXCEL sheet. Go…

Q: A professor at the University of New Hampshire was interested in evaluating the effect of the…

A: It is given that the effect of the unemployment rate on the incarceration rate was studied by a…

Q: From the community hospital and clinics around a city, the ages of dentists, nurses and physicians…

Q: A hospital analyzed, for several randomly selected employees, the relationship between the…

A: Given: n=16SSXX=26.92SSYY=104.00SSXY=-50.40

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…

Q: Following is a random sample of three (x, y) pairs of data points (10, 100), (15, 50) and (6, 25).…

A: Here, x y (x-x) (y-y) (x-x)(y-y) (x-x)2 (y-y)2 10 100 -0.33 41.67 -13.7511 0.1089 1736.389 15…

Q: If the correlation coefficient is 0.930, what is the unexplained variation

Q: Which of the following tests is appropriate, if we want to determine the relationship between…

A: We have given that, Which of the following tests is appropriate, if we want to determine the…

Q: Determine the Correlation Coefficient for the above ordered paired data set. Determine the…

A: x y (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 35 1 -24.16666667 584.027778…

Q: You are given the following information about x and y. xIndependent Variable yDependent Variable…

A: Step-by-step procedure to find the correlation coefficient using Excel: In Excel sheet, enter Input…

Q: Based on the scatterplot, what is the most likely value of the linear correlation coefficient r

A: From the above scatter plot, we can see that the There is a decreasing pattern between the…

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

A: Test the hypothesis

Q: As a result of the research, it was concluded that there is no relationship between the two…

A: Correlation coefficient : Correlation coefficient is used to measures the association or linear…

Q: Given the following scatter diagram , the sample correlation coefficient r: Has a negative linear…

A: There is a positive linear correlation between two variables if the line is towards an upward…

Q: A professor at the University of New Hampshire was interested in evaluating the effect of the…

A: Given information : Correlations Incarceration Unemployment Incarceration…

Q: X Y 7 3 3 1 6 5 4 4 5 2 Compute the Pearson correlation What is your conclusion? Be…

A: We want to find (a) Compute the Pearson correlation (b) What is your conclusion? Be sure to state…

Q: Consider the following data reflecting lengths of stay in the hospital (recorded in days) and total…

Question

The scatterplot below shows the relationship between two random variables X and Y.

(a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means.

(b) If, as noted in (a), r = -0.15 then what is the value of the correlation between 2X and 5Y?

(c) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a rough sketch of the corresponding residual plot.

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Expert Solution