Concept explainers
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.
7. Height and Weight Heights (cm) and weights (kg) are measured for 100 randomly selected adult males (from Data Set 1 “Body Data” in Appendix B). The 100 paired measurements yield
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Elementary Statistics Third California Edition
- 2. Given the following sets of information, find the linear least squares regression and the correlation coefficient.arrow_forward11) Adding a predictor to a regression model causes which of the following changes?a) SSError decreases and SSRegression increases.b) SSError increases and SSRegression decreases.c) Both SSError and SSRegression decrease.d) Both SSError and SSRegression increase.arrow_forwardEditor of Astrology Magazine wants to obtain sales forecast value for 2021. Use the given data below and help the editor. Year Quarter Sales 2019 1. 53 2. 51 3. 48 4. 55 2020 1. 53 2. 51 3. 54 4. 52 Use time series regression model and determine sales forecast value for the second quarter of 2021arrow_forward
- A corporation owns several companies. The strategic planner for the corporation believes dollars spent on advertising can to some extent be a predictor of total sales dollars. As an aid in long-term planning, she gathers the following sales and advertising information from several of the companies for 2019 ($ millions). Advertising Sales 12.5 148 3.7 55 21.6 338 60.0 994 37.6 541 6.1 89 16.8 126 41.2 379 Develop the equation of the simple regression line to predict sales from advertising expenditures using these data. What are your expected sales if the company expended $10 millions in advertising?arrow_forward1)Write the regression equation that represents the above equation. Y = 9.804326378 + 0.65795*X1 + 0.200358 X2 Height of an individual = 9.8043 + 0.6579*Mother's Height + 0.2004* Father's Height 2)Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?arrow_forwardA corporation owns several companies. The strategic planner for the corporation believes dollars spent on advertising can to some extent be a predictor of total sales dollars. As an aid in long-term planning, she gathers the following sales and advertising information from several of the companies for 2016 ($ millions). Advertising Sales 12.5 148 3.7 55 21.6 338 60.0 994 37.6 541 6.1 89 16.8 126 41.2 379 Develop the equation of the simple regression line to predict sales from advertising expenditures using these data.Do not round the intermediate values. (Round your answers to 3 decimal places.)arrow_forward
- Scores made by students in a statistics class in the midterm and final examination aregiven below: Student Mid-term Final 1 98 90 2 66 74 3 100 98 4 96 88 5 88 80 6 45 62 7 76 78 8 60 74 9 74 86 10 82 80 Develop a regression equation which may be used to predict final examination scoresfrom the mid-term score.arrow_forwardA researcher is proposing that exercise makes a person more energized as a result they require less sleep. He carries out a survey on the number of hours of exercise per week and the average hours of sleep needed per night in order to feel well rested. The results are shown in the table (picture) for the 8 participants. a. Using the data (picture), calculate and interpret the regression line for the data.arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt