The grades of a class of 9 students on a midtermreport (x) and on the final exam (y) are follows:Midterm reportFinal exam778250667178723481479485969999Find the significant of correlation coefficients97a) Estimate the linear regression lineb)Estimate the final exam score for predictor score is 97c) State the hypothesis testingd)6768

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Answered: <) and on the final exam (y) are…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
You have estimated a multiple regression model with 6 explanatory variables and an intercept from a sample with 46 observations. What is the critical value of the test statistic (tc) if you want to perform a test for the significance of a single right-hand side (explanatory) variable at α = 0.05? a.) 2.023 b.) 2.708 c.) 2.423 d.) 2.704
In the simple linear regression Y = 20 - 5X, if the coefficient of determination is 0.8, then the sample correlation coefficient is Select one: O a. 0.89 Ob. 0.64 OC. -0.89 Od. -0.64 Next page
a) Find a correlation coefficient r, round it to 4 decimal places. Do not round partial results. b) Interpret previous result clearly in terms of direction and strength of association. c) Find the equation of regression line. Equation of regression line: …………………………………………
he average height of a large group of children is 43 inches, and the SD is 1.2 inches. The average weight of these children is 40 pounds, and the SD is 2pounds. The correlation between the two variables is r = 0.65.A scatter diagram is drawn, with height on the horizontal axis and weight on the vertical axis. The scatter diagram is football-shaped. The regression line forpredicting weight based on height is drawn through the scatter.Q. Predict the weights and the typical size of the error for those predictions ineach of the following case: Suppose a child’s height is at the 29th percentile of all heights. Using regression, our best guess is that the child’s weight (measured in pounds) is at the___________________ percentile compared to all other children.
We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 12091209 vehicles in the government’s 2016 Fuel Economy Guide give the regression line highway mpg=7.903+(0.993×city mpg)highway mpg=7.903+(0.993×city mpg) for predicting highway mileage from city mileage. (a) What is the slope of this line? (Enter your answer rounded to three decimal places.) What does the numerical value of the slope tell you? On average, highway mileage decreases by 0.9930.993 mpg for each additional mpg in city mileage. On average, highway mileage increases by 0.9930.993 mpg for each additional mpg in city mileage. For every 7.9037.903 mpg in city gas mileage, highway gas mileage increases about 0.9930.993 mpg. Highway gas mileage increases with city gas mileage by 7.9037.903 mpg for each additional mpg in city mileage. On average, highway mileage increases by 7.9037.903 mpg for each additional mpg in city mileage. (b) What is the intercept?…
Five pairs of data are used in determining a regression line ŷ = -3 + 4x. If the five values of the explanatory variable are 28, 45, 16, 41, and 20, respectively, what is the mean of the five values of the response variable?
The agronomist believed that the amount of rainfall as well as the amount of fertilizer used would affect the crop yield. She did the experiment in the following way. Thirty greenhouses were rented. In each, the amount of fertilizer and the amount of water were varied. At the end of the growing season, the amount of corn was recorded. Use ?=0.05 a) Determine the sample regression line and interpret the coefficients b) Do these data allow us to infer that there is a linear relationship between the amount of fertilizer and the crop yield? c) Do these data allow us to infer that there is a linear relationship between the amount of water and the crop yield? d) What can you say about the fit of the multiple regression model? e) Is it reasonable to believe that the error variable is normally distributed with constant variance (Support your answer)? PLEASE ONLY USE EXCEL AND SHOW ALL EXCEL COMMANDS! Yield Fetilizer Water 201 100 1000 325 200 1000 124 300 1000 129 400 1000 344 500…
Bill is the office manager for a group of financial advisors who provide financial services for individual clients. She would like to investigate whether a relationship exists between the number of presentations made to prospective clients in a month and the number of new clients per month. The following table shows the number of presentations and corresponding new clients for a random sample of six employees. Employee Presentations New Clients 1 2 1 2 8 2 3 9 4 4 10 3 5 11 5 6 12 6 Bill would like to use simple regression analysis to estimate the number of new clients per month based on the number of presentations made by the employee per month. The average number of new clients per month for an employee who made 20 presentations per month is ________. 5.02 5.45 3.43 8.69
**Answer the questions with the data on picture, please. a) Determine the sample correlation coefficient rxy b) Determine the sample regression equation: y= b0+b1x c) Compute the coefficient of determination. d) What is the predicted explanatory value if the response value is 8?
1) Match each of the five scatterplots to the appropriate correlation coefficient and equation of regression line. Explain how you know that you have made a correct match. a. r= 0.83, y= -2.1 + 1.4x d. r= -0.83, y = 11.8 – 1.4x b. r= -0.31, y = 7.8 – 0.5x e. r= 0.41, y=1.4 + 1.4x c. r= 0.96, y= -2.1 + 1.4x Scatterplot 1 Scatterplot 2 Scatterplot 3 Scatterplot 4 Scatterplot 5
We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 12091209 vehicles in the government’s 2016 Fuel Economy Guide gives the regression line highway mpg=7.903+(0.993×city mpg)highway mpg=7.903+(0.993×city mpg) for predicting highway mileage from city mileage. (a) What is the slope of this line? (Give your answer to 33 decimal places.) slope = Say in words what the numerical value of the slope tells you. Select the best option from these choices: On average, highway mileage decreases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. On average, highway mileage increases by 7.903 mpg7.903 mpg for each additional mpg in city mileage. On average, highway mileage increases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. Highway gas mileage increases with city gas mileage by 7.903 mpg7.903 mpg for each additional mpg in city mileage. For every 7.903 mpg7.903 mpg in city gas…

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<) and on the final exam (y) are follows: rt 77 82 50 66 71 78 72 34 81 47 94 85 96 99 99 97 ate the linear regression line ate the final exam score for predictor score is 97 the hypothesis testing 67 68