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Making Predictions. In Exercises 5–8, let the predictor variable x be the first variable given. Use the given data to find the regression equation and the best predicted value of the response variable. Be sure to follow the prediction procedure summarized in Figure 10-5 on page 493. Use a 0.05 significance level.
8. Best Supporting Actors and Actresses For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded. The 30 paired ages yield
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- Use correlation coefficients to determine which of the given sets of data is best fit by its associated regression line and which is fit worst. a. ((6, 8), (3, 14), (7, 6)) b. ((5, 6), (6,5), (7, 6)) c. ((5, 5), (10, 0), (7, 7.1)) Select the data set with the best fit. O ((6, 8), (3, 14), (7, 6)) ((5, 6), (6, 5), (7, 6)) ((5, 5), (10, 0), (7, 7.1)) Select the data set with the worst fit. O ((6, 8), (3, 14), (7, 6)) ((5, 6), (6, 5), (7, 6)) ((5, 5), (10, 0), (7, 7.1)) Is it a perfect fit for any of the data sets? Yes Noarrow_forwardHeptathlon 2004 again We saw the data for the wom-en’s 2004 Olympic heptathlon in Exercise 63. Are the two jumping events associated? Perform a regressionof the long-jump results on the high-jump results.a) What is the regression equation? What does the slopemean?b) What percentage of the variability in long jumps canbe accounted for by high-jump performances?c) Do good high jumpers tend to be good long jumpers?d) What does the residuals plot reveal about the model?e) Do you think this is a useful model? Would you useit to predict long-jump performance? (Compare theresidual standard deviation to the standard deviationof the long jumps.)arrow_forwardFive 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?arrow_forward
- Statistics - Regression Analysisarrow_forwardBox office totals:  The data is the 50 highest grossing films(as of 2021.) Box office totals are measured in billions of dollars. -create a scatter plot with the explanatory variable be the Year and response the Revenue (in billions). Make sure to make a copy of the scatterplot in the word document.  -find the equation of the least square's regression line.  -interpret the correlation coefficient, and coefficient of determination (One sentence each) -Is year a good predictor of the box office revenue? Give a 1 to 2 sentence reason why you think so or not?arrow_forwardStatistics - Regression Analysisarrow_forward
- e A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research vas to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the esults of his study. Complete parts a) through e) below. E Click the icon to view the sample data. OA. The samples are independent. O B. The samples can be reasonably assumed to be random. OC. The population is given to be normally distributed. OD. The sample sizes are large (both greater than or equal to 30). O E. The sample sizes are not more than 5% of the population. :) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a= 0.10 level of significance.…arrow_forwardnot use ai pleasearrow_forwardStatistics - Regression Analysisarrow_forward
- Consider the image a plot of a regression line. What do you call the regression line that results in the smallest sum of errors squared? a. correlational lineb. forecasting linec. least squares regression lined. Pearson's linearrow_forwardWhich command in R to make a plot of the data and then add the regression line of the two random variables x and y?arrow_forwardReading is fundamental to a teenager's ability to perform well in school. Assume a researcher is interested in the ability of the number of books read over the summer to predict ACT Reading scores. Using a random sample of 10 random high school students the researchers recorded the number of books read over the summer and the students' ACT Reading scores. Books Read (X) ACT Score (Y) (X- Xmean) (Y - Ymean) (X-Xmean)(Y-Ymean) (X-Xmean)? (Y - Ymean)? 2 16 -5.4 -14.9 81 29 221 2 19 -5.4 -11.9 64 29 141 3 17 -4.4 -13.9 61 20 192 4 25 -3.4 -5.9 20 12 34 21 -3.4 -9.9 34 12 97 24 -1.4 -6.9 10 2 47 6 21 -1.4 -9.9 14 2 97 8 24 0.6 -6.9 -4 47 7 27 -0.4 -3.9 2 15 10 22 2.6 -8.9 -23 7 78 Total 52 216 259.1 113.3 969.3 МEAN 7.4 30.9 a. Identify the regression line using the number of books read to predict ACT Reading score. Use a = .05 to evaluate the quality of the prediction of the regression line. b. What is the predicted ACT Reading score when 5 books are read?arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL