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 = 1.679x+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 12 hours a week? Round your answer to 3 decimal places if needed.
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- 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, 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 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 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, refer to Table 8. Use the regression feature to find an exponential function that best fits the data in the table.For the following exercises, consider this scenario: The population of a city increased steadily over a 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) 42. Use linear regression to determine a function y,where the year depends on the population, to threedecimal places of accuracy.
- 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 ?Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name “regression” originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studenth = 19.6 + 0.73×Midparh, SEE = 2.0 and R2 = 0.45, where Studenth is the height of students in inches, and Midparh is the average of the parental heights. (Following Galton’s methodology, both variables were adjusted so that the average female height was equal to the average male height.) a) Interpret the estimated slope coefficient. b) What is the prediction for the height of a child whose parents have an average height of 70.06 inches?
- A high school wants to predict her students score on a midterm exam y, given the number of hours a student spent studying x1 and the students average homework grade x2. She obtains the multiple regression equation y=-2.662+4.686x1+0.753x2. Predict the midterm exam score of a student with an average homework grade of 85, who spent 4 hours studying. Round to the nearest integer.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, Y’ = – 2 + X, if the mean for Y is 6, what is the mean for X?