Calculate Pearson’s Correlation Coefficient
Q: Consider the following small data set. Subject x y 17 19 1 2 5 25 3 24 10 31 1731 3 4 Find the…
A: Given : Subject x y 1 17 19 2 5 25 3 3 24 4 10 31 5 17 31
Q: The Question asked "Calculate the correlation coefficient of the data. Round to two decimal places…
A: From the table, the summary of the quantities are,
Q: Is there a significant linear correlation between the following variables (x and y)? Subject ID 1…
A: Here, x y x-x y-y (x-x)(y-y) (x-x)2 (y-y)2 10 20 -10.1429 -21.1429 214.4503 102.8784 447.0222…
Q: (Imeuic tons) UI impoted lemons and car crash fatality rates per 100,000 population. Construct a…
A: From the given informationX=Lemon Importsy=crash fatality rateX y X‐My X‐MX2…
Q: The table below gives the estimated world population (in billions) for various years. 1980 1990 1997…
A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…
Q: The following data gives the number of hours 77 students spent studying and their corresponding…
A: Hours spent studying(x) Midterm Grades(y) 0.5 66 2.5 72 3 78 3.5 81 4.5 90 5 93 5.5 96
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: The independent variable is Lemon Imports. The dependent variable is Crash Fatality Rate. This is…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: To determine if there is a linear correlation between lemon imports and car crash fatality rates, we…
Q: The data sets displayed in Figures A, B, C, and D have one of the following correlation…
A:
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: The given paired sample observations of lemon imports and crash fatality rate are as follows:Lemon…
Q: The following table gives the average number of hours 7 junior high students were left unsupervised…
A: Hours Unsupervised 0.5 1 1.5 2 3 4.5 5.5 Overall Grades 100 96 88 84 72 68 64
Q: Mustration 15.9. Calculate Karl Pearson's correlation coefficient for the following paired data. 40…
A: X Y X.Y X2 Y2 28 23 644 784 529 41 34 1394 1681 1156 40 33 1320 1600 1089 38 34 1292 1444…
Q: Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and…
A:
Q: The question asked "Calculate the correlation coefficient of the data. Round to two decimal places…
A: The data is provided for the age of a chicken in years and the number of eggs they lay per month.
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: A correlation coefficient gives the association between two variables. If the correlation…
Q: Lemon Imports 265 232 15.8 357 484 532 14.9 Crash Fatality Rate 15.7 15.4 15.3 17- 16- 16- 16- Q 16-…
A: 1) 2) scatter plot : option D shows correct scatter plot
Q: n= 18 Σ= 100 ΣΥ= 10 Σv= 3410, Σ1630 ΣΥ-25115 Calculate the linear correlation coefficient r.
A: We know that, correlation coefficient r is defined as, r=Σ(Xi-x̅)(Yi-ȳ)/√Σ(Xi-x̅)2*Σ(Yi-ȳ)2
Q: Listed below are annual data for varlous years. The data are weights (metric tons) of imported…
A: Calculate Correlation Coefficient r without cov(x,y) from the following data X Y 228 15.9 266…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: Let x be lemon Imports and y be Crash Fatality rate. x y 232 15.9 264 15.7 357 15.4 484…
Q: 1. Determine the LSRL equation using the format y-mx+b. 2. Describe the slope (m) and its meaning in…
A: Dear student according to the guidelines we solve only first three subparts . Solution The given…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: Correct option: Option D Use EXCEL to construct the scatter plot. EXCEL procedure: Go to…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: Steps of create scatter Plot; 1. Enter the data in excel then, go to insert --- scatter plot ----…
Q: Calculate and interpret the Coefficient of Correlation between the following indicators: GDP…
A: Given information: The data represents the values of the variable GDP (Current $US) and Net official…
Q: For the data given in the table below, find the linear correlation coefficient r. 1 18 3 13 3 9. 6 6…
A:
Q: You are interested in whether the number of classes students miss (X) during a semester is related…
A: Given The data is as follows: Participant Classes missed (X) Number of courses (Y) 1 3 3 2 8…
Q: Persons and Consumption. Calculate the coefficient of correlation between the number of workers (x)…
A: Given: The data values Year 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 x 368 384 385 361…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: The independent variable is Lemon Imports. The dependent variable is Crash Fatality Rate. We have to…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: The scatter plot is used to observe the relation in between variables. It consists of data points.…
Q: If the correlation coefficient is –1, which answer is correct? Group of answer choices The slope of…
A: It is given that Correlation coefficient = -1
Q: Find the correlation coefficient for the data below which represents the salary of eig people based…
A: Given data, X Y X*Y X*X Y*Y 2 350 700 4 122500 6 900 5400 36 810000 11 1300 14300 121…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: Given data lemon imports (x) 228 265 357 483 531 crash fatality rate 15.9…
Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…
A: Listed below is annual data for various years. The data are weights (metric tons) of imported lemons…
Q: The table below gives the estimated world population (in billions) for various years. 1980 1990 1997…
A: Given data obtained as follows, x y x2 y2 x⋅y 1980 4400 3920400 19360000 8712000 1990 5100…
Q: Which of the following Pearson correlations indicates that the data point would be clustered most…
A: Postive correlation When the value of one variable increase with increase in another variable then…
Q: Listed below are the data for a local television station. This shows the number of weekly…
A: Given Information: Weekly Radio Spots Sales ($100s) 4 75 10 85 2 62 6…
Q: A population data set produced the following information. N= -50 Σ x= 9370 Σy= 1452. Σy= 84.890…
A:
Q: The following show the respective ages in years and the corresponding weighs in lbs of 8 women. What…
A: Correlation Coefficient is denoted by r
QUESTION TWO
A car dealer at Ford has recorded the unit prices and quantities sold of four models of particular make of a car in 2012. The quantities sold and unit selling price for 2012 respectively given in the following table:
|
|
Price (Y) |
Quantity (X) |
|
A |
40 |
10 |
|
B |
25 |
50 |
|
C |
20 |
35 |
|
D |
10 |
15 |
Required:
Calculate Pearson’s
Step by step
Solved in 2 steps
- Susan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits her clients made to the gym each week and the average amount of time her clients exercised per visit. She took the following data. Client 1 2 3 4 5 6 Number of visits per week 1 3 4 2 3 5 Average time spent exercising per visit (hours) 2 1.5 1 2 2 0.30 Is the correlation coefficient significant? Group of answer choices No Yes Perhaps Insufficient Information to make a decisionA student of Engineering conducted a research to determine the correlation between performance of 2 lathes in the workshop. Assessments were conducted on weekly basis, and the following data were obtained. Calculate the coefficient of correlation using Karl Pearson's method, and discuss the level of the relationship. Table 2. The performance of the lathes on weekly basis. Week(s) 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th Lathe A 42 48 40 28 46 90 28 56 16 22 Lathe B 56 78 72 24 60 42 36 82 28 34 良Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 229 266 359 480 530 15.9 15.6 15.5 15.3 14.9 Construct a scatterplot. Choose the correct graph below. OA. В. Ос. D. Ay 17- Ay 17- Ay 17- Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- 14+ 14+ 14- 14+ 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient r is (Round to three decimal places as needed.)
- Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 231 266 359 480 532 15.9 15.7 15.4 15.2 14.8 Ay 17- Ay 17- Ay 17+ Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- X 14- 14+ 14- 14- 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient r is (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a…Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 228 264 358 482 531 15.9 15.7 15.5 15.3 14.9The following table shows the number of years of work experience and the crime rate ratings for selected US cities: X: Years of Work Experience 11 15 12 25 20 40 Y: Crime Rate Ratings 52 41 45 15 20 15 a. Determine the Pearson's Coefficient of Correlation for the given data. Answer rounded to two decimal places
- Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a= 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 266 15.7 228 358 484 531 15.8 15.5 15.2 14.8 What are the null and alternative hypotheses? O B. Ho: p=0 O A. Ho: p#0 H1:p=0 H1:p0 H,: p#0 Construct a scatterplot. Choose the correct graph below. OA. B. Oc. OD. Ay 17- Ay 17- AY 17- Ay 17- 16- Q 16- 16- 16- 15- 15- 15- 15- 14- 14+ 14- 14- 200 400 600 200 400 600 200 400 6ỏ0 200 400 600 The linear correlation coefficient is r= (Round to three decimal places as needed.)Do all Please calculate: Parameters a and b Correlation coefficient Determination coefficient Write correlation equation Visualise data in Scatter chart Provide explanation of results Year Sales, MEUR (Yi) Employees with higher education (Xi) 2010 70 10 2011 90 12 2012 100 15 2013 80 13 2014 110 17 2015 120 20 2016 150 25 2017 200 25 2018 200 25The age and prices of 11 Nissan cars given in the following data: Age (in years) 5 4 6 5 5 5 6 6 2 7 7 Price (in $100s) 85 103 70 82 89 98 66 95 169 70 48 a. Obtain the correlation coefficient between the age and price of the cars. Interpret the value of the correlation coefficient. b. Obtain a regression equation of Price (dependent variable) on Age (Independent variable). c. What will be the Price of the car after 3 years? d. Find the coefficient of determination. Determine the percent of variation that is explained by the regression equation clearly.
- Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? 484 534 Lemon Imports Crash Fatality Rate 229 15.8 266 15.7 359 15.5 15.3 14.8 OC. Ho: p=0 H₁: p=0 Construct a scatterplot. Choose the correct graph below. O A. Ay 17+ 16- 15- 14- 0 200 400 600 Q Q The linear correlation coefficient is r= (Round to three decimal places as needed.) The test statistic is t- (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is OB. Ax 17+ 16- 15 14+ 6 than the significance level 0.05, there % 0 200 400 400 600 Q Q G OD. H₂:p#0 H₁:…Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 231 265 358 483 530 15.8 15.7 15.5 15.2 14.8 What are the null and alternative hypotheses? OA. Ho: p 0 H₁ p=0 OC. Ho p=0 H₁: p>0 Construct a scatterplot. Choose the correct graph below. OA. Ay 17- 16- Q do ° 15- ° 14+ 0 200 400 600 The linear correlation coefficient is r= (Round to three decimal places as needed.) B. Ho: p=0 H₁p 0 OD. Ho: p=0 H₁: p<0 B. COD. Ay 17- Ay 17- Ay 17+ Q о 16- 16- 16- Q 0 ° ° 15- 15- ° G 15- G 14- 14- 14+ 0 200 400 600 0 200 400 600 0 200 400 600After gathering data about the number of starfish and measuring the pollution in areas of the ocean you find a negative linear correlation between pollution levels and number of starfish. What can you conclude based on this information? a. There is a confounding variable that is affecting both pollution and starfish. b. As pollution rises the number of starfish falls c. That pollution is causing starfish to die, leading to the negative correlation d. That pollution is supporting starfish, leading to the negative correlation
