Question A market trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x pens, in each of six weeks. He notes the number of pens, y that he sells in each of these six weeks. The results are shown in following table.   Week 1 2 3 4 5 6 Pens 10 15 20 25 30 35 Sells 68 60 55 48 38 32       Find the correlation coefficient between pens and sells and test the hypothesis that there is no relation between these variables. Find the regression equation of sells to pens Estimate the weekly sells for 20 pens.

Q: Family Sales in Period Income Pesos (millions) (thousands) 1 20 600 2 30 800 3 25 1,100 4 28 1,600 5…

A: Let  X=family income  Y=Sales in Pesos  Data given  X:20,30,25,28,31  Y:600,800,1100,1600,1800 Note:…

Q: A market trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: The data obtained in a study on the number of absences in virtual class and the final grades of…

A: Provided data is; Number of absences x in virtual class Final grade  y (x-x¯) ∑(y-y¯) ∑(x-x¯)2…

Q: Collapse Data showing the number of releases for cach movie studio in a year and the gross receipts…

A: Given data:

Q: 4. In a study of the relationship between the year and the number of lottery winners, Highlight O…

A:

Q: Example9. Calculate coefficient of correlation and its probable error from the following data of…

A:

Q: A researcher is interested in knowing if there is a relationship between the number of ounces in the…

A: Solution: 1. Let X be the ounces and Y be the price. The given data is

Q: A researcher explores whether there’s any association between grades and the amount of time students…

A: INTRODUCTION:   Correlation :  Correlation analysis deals with the association between two or more…

Q: 4. a. Write a detailed note on correlation coefficient b. Calculate correlation coefficient between…

A: Given information: The two series of data is provided as follows: Year Road accidents Consumption…

Q: 1.     A researcher is interested in knowing if there is a relationship between the years presented…

A: Year(x) A.Family size(y) xy x2 y2   1969 4 7876 3876961 16   1973 3.6 7102.8 3892729 12.96…

Q: Life Expectancies Is there a relationship between the life expectancy for men and the life…

A: Given:   Sr. No. Men (x) Women (y) 1 56.8 64.4 2 53.6 46.2 3 70.6 72.2 4 61.5 70.2 5…

Q: 17. A company manufactures an electronic device to be used in a very wide temperature range. The…

A: (17)  Given: The data is to be given for life time and temperature. Solution: We have done this…

Q: TNODI Oaa 1or vanOus years. The data are weights (metric tons) of imported lemons and car crash…

A: a. Assume that ρ is the population correlation coefficient, and r is the sample correlation…

Q: Listed below are amounts of court income and salaries paid to the town justices. All amounts are in…

A:

Q: in Séven students obtained the following percentage of marks in the college test (r) aN the final…

A: We have given that,  X :- 50, 62, 72, 25, 20, 60, 60 Y:- 48, 65, 74, 33, 25, 55, 66 Then,  We will…

Q: A study was conducted to determine whether the final grade of a student in an introductory…

A:

Q: Ten freshmen civil engineering students took a test in Mathematics (x) and Chemistry (y). Their…

A:

Q: B. The following table shows the number of hours six students studied for a final exam and there…

A: We want to find correlation and hypothesis testing.

Q: Example 16.1 Calculate the coefficient of correlation for the following data: X 2 3 4 5 7 9 10 14 Y…

A:

Q: 1.     A researcher is interested in knowing if there is a relationship between the size of the…

A: Let, X : inches and Y : Price. Sample size = n = 7. a. i. H0: The population correlation coefficient…

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: 12. A researcher found that sales of televisions and lawn fertilizer have been increasing over the…

A:

Q: A random sample of second year business students at a small Canadian university were polled by a…

A: Given that, Let X be hours of study and Y be marks received in exam. ∑X=188, ∑X^2=3832, ∑Y=793,…

Q: A random sample of second year business students at a small Canadian university were polled by a…

A: Given: A sample of second year business students at a small Canadian university were polled by a…

Q: 1.     A researcher is interested in knowing if there is a relationship between the age (years) and…

A:

Q: Question The number of murders and robberies per 100,000 population for random selection of states…

A:

Q: Shoe Print (cm) 28.8 29.5 24.5 28.2 모 24.2 168.4 32.5 31.1 Foot Length (cm) 25.7 28.6 183.5 26.1…

A: Use EXCEL Procedure to obtain the scatter plot. Follow the instruction to obtain the scatter plot:…

Q: student 1 2 3 4 5 7 8 Physic weak good v. good good Ex. good Ex. good chemistry poor Ex. Ex. v. good…

A: The given data is in the form of five point Likert scale ( ordered categorical variable). we can…

Q: EXAMPLE 1. Calculate the co-efficient of correlation from the following data : 6 8 7 4 3 9. 15 16 14…

A: The formula for the correlation coefficient is,

Q: Test the claim that there is correlation between (Consumer Price Index) CPI and Cost of Pizza with ?…

A: The following information has been given: CPI (x) Cost of Pizza (y) 30.2 0.15 48.3 0.35…

Q: Question: Oil and Gas Prices The average gasoline price per gallon (in cities) and the cost of a…

A: Given the average gasoline price per gallon (in cities) and the cost of a barrel of oil for a random…

Q: A random sample of second year business students at a small Canadian university were polled by a…

A: Given that, ∑X=188, ∑X^2=3832, ∑Y=793, ∑Y^2=65,143 and ∑XY=15,540 Let X be hours studying and Y be…

Q: the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient…

A: Test hypotheses: The investigator is interested to test whether there is a linear correlation…

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: 1. Find Karl Pearson's co-efficient of correlation of the following data. Age of husband (x): 20 22…

A:

Q: 8. In the following correlation matrix, what is the relation (number, direction, and magnitude)…

A: Given:   Workplace Pay Satisfaction Stress Health Pay 1       Satisfaction 0.68 1…

Q: Agroup of research students wants to determine whether there is a correlation between the number of…

A: Since you have asked multiple questions, we will solve the first question for you .If  you want a…

Q: A market trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x…

A: Correlation and regression are the bivariate operations. If two variables are related to each other…

Q: in Naples, Florida in December 2007. Square Footage, x Asking Price ($000s), y 1148 154 1096 159.9…

A: To determine the linear correlation coefficient: Linear correlation coefficient is given by the…

Q: A portfolio is created by investing equally into two stocks: Stock A and Stock B. The table below…

A: Given that  We have to find the correlation between the returns of these two stocks

Q: The average gasoline price per gallon (in cities) and the cost of a barrel of oil are shown for a…

A: From the given information, oil(x) Gasoline(y) X^2 Y^2 XY 55.78 2.654 3111.408 7.043716…

Q: Pizza and the Subway The “pizza connection” is the principle that the price of a slice of pizza in…

A:

Q: A random sample of second year business students at a small Canadian university were polled by a…

A: In order to obtain the regression equation, first perform regression analysis on the data.…

Q: What is the 95% confidence interval (i.e., prediction interval) for exam performance of Fred who…

A: Let X be hours studying and Y be exam percentage. The least square regression equation is given as…

Q: Two referees in a flower beauty competition rank the 10 types of flowers as follows: Referee A 6 5…

A:

Q: Roll numbers of % of marks in Statistics % marks in Students Accountancy 11 50 80 12 60 71 13 65 60…

A:

Q: Fat Grams and Secondary Schools. The number of fat calories and grams of saturated fat in a number…

A: Solution: From the given information, the data for the number of fat calories and grams of saturated…

Q: Singles and Doubles Winning Percentage The following graph shows the winning percentages in singles…

A: Correlation: If the scatter plot shows a pattern of upward or downward straight line, it means that…

Q: Q1/ Showing a type of correlation and calculation factor among variables X and Y 7 11 3| 0 | 9 | 10…

A: As per our guidelines, we are allowed to answer first question only. Thanks, Please post other…

Correlation

Correlation defines a relationship between two independent variables. It 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.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.