Find correlation coefficient between the income and expenditure of a wage earner.Month:Jan.Feb.MarchAprilМayJuneJulyIncome:46545656586062Expenditure:36404454425854

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Answered: Find correlation coefficient between…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A statistical program is recommended. You may need to use the appropriate appendix table or technology to answer this question. The owner of a theater would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Television Newspaper Gross Advertising Advertising Revenue ($1,000s) ($1,000s) ($1,000s) 95 89 94 91 94 93 93 93 5.0 2.0 4.0 2.5 3.0 3.5 2.5 3.0 1.5 2.0 1.5 2.5 3.3 2.3 4.2 2.5 (a) Find an estimated regression equation relating weekly gross revenue (in thousands of dollars) to television and newspaper advertising (in thousands of dollars). (Let x₁ represent television advertising, x₂ represent newspaper advertising, and y represent weekly gross revenue. Round your numerical values to two decimal places.) ŷ =
The owner of a movie theater company would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Revenue ($1,000s) 96 91 95 93 95 94 94 94 Newspaper Television Advertising Advertising ($1,000s) ($1,000s). 5 2 4 2.5 3 3.5 2.5 3 1.5 2 1.5 2.5 3.3 2.3 4.2 2.5 (a) Use a = 0.01 to test the hypotheses Ho: P₁=B₂=0 HB, and/or ₂ is not equal to zero. for the model y = ₁ + B₂x₂ + B₂x₂ + c, where *₁ = television advertising ($1,000s) *2= newspaper advertising ($1,000s). Find the value of the test statistic. (Round your answer to two decimal places.) 30.94 x Find the p-value. (Round your answer to three decimal places.) p-value 0.001 State your conclusion. Do not reject Ho. There is insufficient evidence to conclude that there is a sigr Do not reject Ho. There is sufficient evidence to conclude that there is a signif Reject Ho. There is sufficient evidence to conclude that there is a significant re O Reject…
What correlation best describes the data association shown in the scatterplot? no correlation? a perfect correlation? a positive correlation? or a a negative correlation?
Persons and Consumption. Calculate the coefficient of correlation between the number of workers (x) and the bales of raw cotton consumed (y) in a textile mill: Year: 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 x : 368 384 385 361 347 384 395 403 400 385 y : 22 21 24 20 22 26 26 29 28 27
Using the data below and a second order model with one predictor variable, predict the sales for 50 months. Enter to the nearest cent. Do not use $ signs. Months Sales 41 275 103 296 76 317 106 376 22 162 12 150 85 367 111 308 45 189 51 235 15 83 12 112 8 67 56 325 19 189 Answer:
Is there a linear relationship between educational attainment and annual salary? a. Draw the scatterplot for the variables. b. Describe the relationship, if any, shown by the scatterplot. c. Calculate r, the correlation coefficient. How does the correlation coefficient compare to the relationship you saw in the scatterplot? Number of Years 7 9 6 7 11 12 11 3 3 7 9 1 Salary (in Dollars) $48,897 $62,866 $54,585 $56,611 $53,541 $53,541 $47,027 $47,970 $46,668 $48,029 $46,735 $45,000 Is there a linear correlation between a mathematics instructor’s years of experience and his or her annual salary? a. Draw the scatterplot for the variables. b. Describe the relationship, if any, shown by the scatterplot. c. Calculate r, the correlation coefficient. How does the correlation coefficient compare to the relationship you saw in the scatterplot?
Calculate the co-efficient of rank correlation from the following data. Price of Coffee Price of Tea 45 25 42 28 45 35 47 27 48 30 43 32 45 35 50 30 48 28 42 39
A company has the following monthly sales for the past year. Plot the data points on a line graph and describe the results. Month Sales 1 145 2 146 3 145 4 150 5 148 6 150 7 156 8 160 9 158 10 153 11 152 12 154
In a city of 45,000 homes, a survey was taken to determine the number with Wi-Fi access. Of the 500 homes surveyed, 300 had Wi-Fi access. Estimate the number of homes in the city that have Wi-Fi access.
Example 3: Using three-year moving averages, determine the trend. Production Production Year Year (1000 tonnes) (1000 tonnes) 1990 21 1995 22 1991 22 1996 25 1992 23 1997 26 1993 25 1998 27 1994 24 1999 26
This table shows the minutes students spent studying for their science exam and the scores they received. Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50 Exam score 82 78 90 78 85 97 100 85 73 90 91 98 Use a graphing calculator to model the data using a linear function. What is the correlation coefficient of the data? −0.74 −0.48 0.93 0.98
SON ********** b. Do the organic Dr. Stephanie Andrews (5) Researchers from the University of Miami found that a person's GPA in high school could be an indicator of how much that person will earn later in life. The chart below depicts the findings of the study. Average annual earnings in adulthood, by high school GPA Men $50,000 40,000 30,000 20,000 10,000 0 0.0 Women 0.5 1.0 1.5 2.0 2.5 HIGH SCHOOL GPA SOURCE: University of Miami GRAPHIC: The Washington Post. Published May 20, 2014 3.0 3.5 4.0 4 a. Consider the two variables, High School GPA and Average Annual Earnings in Adulthood. Which is dependent? b. Describe the relationship between High School GPA and Average Annual Earnings in Adulthood. Is the correlation positive or negative? (Write at least two sentences.) c. Does a person's High School GPA cause them to earn a certain salary in adulthood? Explain. (Write at least one sentence.) sta tement

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Find correlation coefficient between the income and expenditure of a wage earner. Month: June July 62 Jan. Feb. March April May Income: 46 54 56 56 58 60 Expenditure: 36 40 44 54 42 58 54