You determined there was a positive correlation between the number of study hours a week a student spends studying and their overall grade at the end of the semester. You determined the regression equation:ŷ = 2.072x+49, where x is the number of hours a student spends studying each week. What would be the predicted overall test score for a student who studies 11 hours a week?
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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, 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.
- What is the y -intercept on the graph of the logistic model given in the previous exercise?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 accuracyFor 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, refer to Table 8. Use the regression feature to find an exponential function that best fits the data in the table.Based on the data from 6 students, the regression equation relating number of hours of preparation (x) and test score (y) is y=67.3 + 1.07x . What is the best predicted test score for a student who spent 120 minutes preparing for the test?The researchers decide to use simple linear regression to obtain a regression equation that would allow them to predict how many meals would be eaten according to a preference for exotic foods. The following regression equation is obtained: Y = 2.185 + 0.523X How many meals would someone be predicted to eat if they obtain a score of 3.8 on food preference ?
- A study of king penguins looked for a relationship between how deep the penguins dive in meters xx to seek food and how long they stay underwater in minutes yy. Based on sample data, the regression line is found to be y^=2.69+0.0116x Use the regression line to estimate how long a typical dive of 200 meters would last. Round your answer to two decimal points.For the regression equation, Ŷ = –2X + 6, what can be determined about the correlation between X and Y?A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table. Find a linear regression equation that models the data. Round your answer to three decimal places.