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In Problems 17-24, (a) plot the given points, (b) determine what type of function best models the data, and (c) find the equation that is the best fit for the data.
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- 2. The table shows the population of waterfowl at a particular lake for selected years between 2002 and 2023. Which of the following equations shown best models the data in the table, where y is the percent of households with computers and x is the number of years after 2000? x 2002 2004 2011 2015 2018 2021 2023 y 585 582 629 726 873 1070 1317 A. y = 2.75x² + 36.9x + 669 B. y = 2.75 + 11041x + 669 C. y = 2.75x²11041x + 669 D. y = 2.75x² - 36.9x + 669arrow_forwardA. Problem: The sales of a company (in million pesos) for each corresponding number of workers are shown in the table below. Workers 245 569 1380 1 890 2 150 Sales 12 19 29 37 45 Answer the following: 1. Which of the two variables is the independent variable and the dependent variable? 2. Using regression analysis, write the equation used for predicting values of y. Show your solution for this. a. Complete Solution Table b. Solve for b. c. Solve for a. d. Formulate the predictor equation. 4. Use the predictor equation to predict the values of y if the values of x are the following. Show your solution. X = 800 x = 50arrow_forwardMark Gershon, owner of a musical instrument dis-tributorship, thinks that demand for guitars may be related to the number of television appearances by the popular group Maroon 5during the previous month. Mark has collected the data shown inthe following table:DEMAND FOR GUITARS 3 6 7 5 10 7MAROON 5 TV APPEARANCES 347685a) Graph these data to see whether a linear equation mightdescribe the relationship between the group’s television showsand guitar sales.b) Use the least-squares regression method to derive a forecastingequation.c) What is your estimate for guitar sales if Maroon 5 performedon TV nine times last month?d) What are the correlation coefficient ( r ) and the coefficient ofdetermination ( r2 ) for this model, and what do they mean?arrow_forward
- This value represents how much a change in one variable can be predicted from its relationship witha completely different variable .......arrow_forwardA physician wishes to know whether there is a relationship between a father's weight, in pounds, (X) and his newborn son's weight, in pounds, (Y). Father's 176 160 187 210 196 142 205 215 weight Son's weight 6.6 8.2 9.2 7.1 8.8 9.3 7.4 8.6arrow_forwardQuestion 9 .arrow_forward
- This study aims to find the correlation between the number of weeks of gestation and the weight of the baby at birth. The data consists of a sample of 15 births. It takes the number of weeks of gestation as the x variable of the plot and the weight of the baby at birth as the y variable. We are using MS Excel 2016 for analyzing this data. The data is as follows: Gest.P(we Wt (gm) 38 2940 38 3130 36 2420 34 2450 39 2760 35 2440 40 3226 42 3301 37 2729 40 3410 36 2715 39 3095 39 3130 39 3244 35 2520 1) Using the analysis of variance ANOVA output obtained from the print output calculate the coefficient of determination of the data and provide an interpretation of this quantity. State the null hypothesis and alternative hypothesis for the above model. Should the null hypothesis be rejected?arrow_forwardThis study aims to find the correlation between the number of weeks of gestation and the weight of the baby at birth. The data consists of a sample of 15 births. It takes the number of weeks of gestation as the x variable of the plot and the weight of the baby at birth as the y variable. We are using MS Excel 2016 for analyzing this data. The data is as follows: Gest.P(we Wt (gm) 38 2940 38 3130 36 2420 34 2450 39 2760 35 2440 40 3226 42 3301 37 2729 40 3410 36 2715 39 3095 39 3130 39 3244 35 2520 1) What are the assumptions of a simple linear regression model.arrow_forward1 2 B 4 5 5 7 B 3 0 1 2 3 4 LO 5 6 7 8 9 0 LO A Year 1975 1980 1985 1990 1995 2000 2005 2010 2015 2020 2025 2030 2035 2040 2045 2050 B Labor Pool (millions) 491 557 649 729 762 802 871 911 924 924 906 879 834 819 805 675 C D Earrow_forward
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