You determined there was a positive correlation between the numberof study hours a week a student spends studying and their overallgrade at the end of the semester.You determined the regression equation: = 1.806x+40, where x isthe number of hours a student spends studying each week.What would be the predicted overall test score for a student whostudies 14 hours a week?Round your answer to 3 decimal places if needed.9ΣTh

The regression equation is y^=1.806x+40, where x is the number of hours a student spends studying…

Answered: You determined there was a positive…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...

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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 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 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 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.
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.
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
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.
A. From the regression equation, what is the predicted percentage increase in sales when the advertising campaign cost is $4.10 million dollars? Round your answer to two or more decimal places.. B.
A kicker recorded the number of field goals made (yy) at different distances from the goal posts (xx). Use the data to determine the regression equation to represent the relationship between the quantities. Round to the nearest hundredth. Distance from Goal Posts (yards) Field Goals Made 20 9 25 6 30 7 35 4 40 1 45 2 50 1 y=____+____x
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 social science professor wants to determine if the amount of time that a student, who is in a relationship, spends with his or her partner is related to that same student’s academic performance. A random sample of students who are in a relationship has been taken, and the table below shows the amount of time (in hours) spent by each sample on his or her partner in a week, as well as the average grade (with 75.00 as the passing mark). a. Find the regression equation and construct the scatter plot diagram.b. Predict the grade of a student who spends 118.72 hours per week on his or her partner.c. Calculate the total variation.d. Compute the standard deviation of the estimate.

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