The following table gives the population of a predator animal over eight years. Year 1 2 Population 304 294 a) Use sinusoidal regression to estimate the time between minimum populations, to the nearest tenth of a year. Show your work. b) Estimate the population in the 10th year. c) Estimate the population in the 20th year. 3 290 4 5 6 292 297 305 7 316 8 326
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.The following table shows the number, in millions, of women employed outside the home in the given year.Use regression to find a quadratic model for the data.A small university town has four local food restaurants that make deliveries. A group of marketing students were assigned to do a research project for their class assignment to compare how promptly the four restaurants deliver. On randomly chosen days, they order a chicken rice set from each restaurant, then record the elapsed time until the chicken rice set delivered to their college. Assume that their college is approximately the same distance from the four restaurants. The data are analysed using SPSS and the results are illustrated in Table 2a and 2b. question: Complete the ANOVA table (Table 2b) and calculate theF-ratio.
- A small university town has four local food restaurants that make deliveries. A group of marketing students were assigned to do a research project for their class assignment to compare how promptly the four restaurants deliver. On randomly chosen days, they order a chicken rice set from each restaurant, then record the elapsed time until the chicken rice set delivered to their college. Assume that their college is approximately the same distance from the four restaurants. The data are analysed using SPSS and the results are illustrated in Table 2a and 2b. question: At the 5% significance level, what can you conclude from the Levene's test result in Table 2a?A researcher notes that, in a certain region, a disproportionate number of software millionaires were born around the year 1955. Is this a coincidence, or does birth year matter when gauging whether a software founder will besuccessful? The researcher investigated this question by analyzing the data shown in the accompanying table. Complete parts a through c below. a. Find the coefficient of determination for the simple linear regression model relating number (y) of software millionaire birthdays in a decade to total number (x) of births in the region. Interpret the result. The coefficient of determination is 1.___? (Round to three decimal places as needed.) This value indicates that 2.____ of the sample variation in the number of software millionaire birthdays is explained by the linear relationship with the total number of births in the region. (Round to one decimal place as needed.) b. Find the coefficient of determination for the simple linear regression model…Find the curve of best-fit y = axb to the following data by using the method of least square.
- Consider the following estimated regression model relating annual salary to years of education and work experience. Estimated Salary=10,737.30+2872.43(Education)+1129.1(Experience)Estimated Salary=10,737.30+2872.43(Education)+1129.1(Experience) Suppose an employee with 44 years of education has been with the company for 1111 years (note that education years are the number of years after 8th8th grade). According to this model, what is his estimated annual salary?The following information relates to BCD Co. Month Usage Cost Jan. 600 P750 Feb. 650 775 Mar. 420 550 Apr. 500 650 May 450 570Using the least squares regression, what is the fixed cost element (to the nearest whole peso)?Compute the forecasted values for Yt for July and August in 2020 by using the modelsstated in (c) and (d)
- A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) (a) Find the equation of the least-squares regression line for the data. (Where × is the independent variable.) Round constants to the nearest hundredth. y= ? (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. ? cmThe below time series gives the indices of Industrial Production in U.S for 10 consecutive years. Year IP 1 79.62 2 86.54 3 88.14 4 89.23 5 93.45 6 97.4 7 99.34 8 96.98 9 100.22 10 103.56 Construct a time series plot. What type of pattern exists in the data? Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. What is the forecast for t = 11?