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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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- Classification of Data Identify the individuals and give the variables under the following: 1. You want to study about the people who climbed Mt. Everest. 2. The Department of Agriculture wishes to conduct a study about the pineapples in Tagaytay.arrow_forwardInterpreting a Computer Display. In Exercises 5–8, we want to consider the correlation between heights of fathers and mothers and the heights of their sons. Refer to the StatCrunch display and answer the given questions or identify the indicated items. The display is based on Data Set 5 “Family Heights” in Appendix B. Height of Son A son will be bom to a father who is 70 in. tall and a mother who is 60 in. tall. Use the multiple regression equation to predict the height of the son. Is the result likely to be a good predicted value? Why or why not?arrow_forwardpart darrow_forward
- In Exercises 13–20, determine whether the data are from a discrete or continuous data set. Corvettes A shift manager records the numbers of Corvettes manufactured during each day of production.arrow_forwardDo people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. Complete parts (a)-(c) below. EEE Click the icon to view the findings. O A. This is an observational study since the researcher influenced the data Walking Speed O B. This is a designed experiment since the researcher influenced the data. O C. This is a designed experiment since the researcher did not influence the data. Direction of Travel Departure 251 Arrival O D. This is an observational study since the researcher did not influence the data. Mean speed (feet per minute) Standard deviation (feet per minute) Sample size 274 (b) Explain why it is reasonable to use Welch's t-test. 45 38 O A. The populations are normally distributed. O B. The samples are random, large and independent 35 35 O C. The…arrow_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_forward
- Statistics - Regression Analysisarrow_forwardWrite your complete solutions. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in the table below. Assume that the final averages are jointly normally distributed. (a) Find the regression line relating the statistics final average to the OR final average. Graph the data. (b) Test for significance of regression using a = 0.05. (c) Estimate the correlation coefficient. (d) Test the hypothesis that p = 0, using a = 0.05. (e) Test the hypothesis that p = 0.5, using a = 0.05. equations on this slide to answer the question) (f) Construct a 95% confidence interval for the correlation coefficient. Statistics OR Statistics OR Statistics OR 86 80 86 81 83 81 75 81 71 76 75 69 75 65 72 71 75 81 84 85 90 92 71 72 94 95 62 65 83 80 90 93 76 84 97 70 73 72 80 98arrow_forwardYou run a regression analysis on a bivariate set of data (n=24). You obtain the regression equation with a correlation coefficient of r=0.945 (which is significant at a=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 60 on the response variable. What is the predicted explanatory value ?arrow_forward
- O esc The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line,ŷ = bo + b₁x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, It would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Answer How to enter your answer (opens in new window) Step 2 of 6: Find the estimated y-Intercept. Round your answer to three decimal places. ! 1 alt 9 a ← ny angle. Z hp @ 2 W S → X # 3 e C $ C 4 r d f Hours Unsupervised Overall Grades % R 10 5 V t 6.0 6 1 2 2.5 95 91 85 Oll y h hp & 7 b n O u i 3 4 5 5.5 72 64 62 61 * 00 8 m O i N k ( 9 < O alt 4 ) 0 1 Р :…arrow_forwardComplete Part D A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520 (AARP Bulletin, January–February, 2010). Suppose you would like to determine if the average weekly pay for all working women is significantly greater than that for women with a high school degree. Data providing the weekly pay for a sample of 50 working women are available in the file named WeeklyPay. These data are consistent with the findings reported in the AARP article. Complete D null hyposthesis: H(o)=520Alternative hypothesis: H(a): greater then 520 sample mean=637.94 the test statistic = 5.62 p-value=0.00 Using a=.05, we would reject the null hypothesis. D. Repeat the hypothesis test using the critical value approach. 582 333 759 633 629 523 320 685 599 753 553 641 290 800 696 627 679 667 542 619 950 614 548 570 678 697 750 569…arrow_forwardO.R data preparation is a trivial step, due to the time required and the possibility of data collection errors. True of fallsarrow_forward
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