The coefficient of determination for a regression model is 0.4156. Which of the following interpretations best describes the meaning of this value? O a. The correlation is moderate and positive O b. 41.56% of the data sits on the regression line O c. A coefficient less than half means the regression failed O d. 41.56% of the variability in y can be explained by the relationship to x
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- For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
- For the following exercises, consider this scenario: The profit of a company decreased steadily overa ten-year spam.The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span, (number of units sold, profit) for specific recorded years: (46,600),(48,550),(50,505),(52,540),(54,495). Use linear regression to determine a function Pwhere the profit in thousands of dollars depends onthe number of units sold in hundreds.For the following exercises, consider this scenario: The population of a city increased steadily overa ten-year span. The following ordered pairs show the population and the year over the ten-year span (population, year) for specific recorded years: (3,600,2000);(4,000,2001);(4,700,2003);(6,000,2006) 44. What is the correlation coefficient for this model tothree decimal places of accuracy?For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year. 38. Determine whether the trend appears to be linear.If so, and assuming the trend continues, find alinear regression model to predict the percent of unemployed in a given year to three decimal places.
- For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Determine whether the trend appears linear. If so, and assuming the trend continues, find a linear regression model to predict the percent of unemployed in a given year to three decimal places.Use the following data to a. determine the coefficient of correlation, rounded to the nearest thousandth, b. find the equation of the regression line for time watching TV and time on the Internet, c. approximate how much time on the Internet can we predict for a person who spends 10 hours weekly watching TV.Subject: A B C D E F GTime watching TV: 8, 4, 2, 7, 7, 5, 6Time on the internet: 14, 12, 8, 17, 18, 9, 18 A. a. r = 0.752 b. y = 1.52x + 5.25 c. 20.5 hours B. a. r = -0.752 b. y = -1.52x + 5.25 c. 9.9 hours C. a. r = -0.752 b. y = 5.25x + 1.52 c. 54 hours D. a. r = 0.752 b. y = 1.52x - 5.25 c. 10 hoursFor the simple regression equation (a), conduct an individual significance tests at the 5% significance level to determine if SQFT is a significant predictor of Price. (Check photo for data)
- Use the following data to answer Questions a, b, and c. a) Determine the correlation coefficient between the percentage of people who get greater than 7 hours of sleep and the percentage who score in the 95th percentile on cognitive tests. b) Find the equation of the regression line for the percentage who get greater than 7 hours of sleep and the percentage who score in the 95th percentile on cognitive tests. c) What percentage of people can we anticipate score in the 95th percentile on cognitive tests in a generation where 27% get greater than 7 hours of sleep? Generation Millennials Gen X Boomers Gen Y Percentage who get greater than 7 hours of sleep (x) 41 Millennials 53 Gen X 64 Boomers 68 Gen y Percentage who score high (95th percentile) on cognitive tests (y) 39 Millennials 47 Gen X 56 Boomers 66 Gen YQ9 The explanatory variable in linear correlation/regression model is recorded on which of thesemeasurement scales: A. categorical B. ordinal C. quantitative D. none of the above