Below is some of the regression output from a simple regression of the number of wins for a major league baseball team and the size amount of money the team is paying its players (expressed in millions of $'s) *please fill in the
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- Distinguish between the following: (a) Heteroskedasticity and autocorrelation (b) specified regression model vs estimated regression equation (c) data type vs level of measurementAnalyze the residual lot below. Does it violate any of the conditions for an adequate linear model? A. No, the plot of residuals is random. B. Yes, the residuals do not display constant error variance. C. Yes, there is a discernable pattern in the residuals.Distinguish between the following: (a) Heteroskedasticity and autocorrelation (b) specified regression model vs estimated regression equation (c) data type vs level of measurement (d) ANOVA and Multiple Regression (e) Outliers vs Influencers
- An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 Note: No excel ANOVA output allowed. Students need to show all the steps in calculations. You are required to; Find the simple regression line and interpret the coefficients. Find the coefficient of determination and interpret its value. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.An article in the Journal of Agricultural Science [“The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects” (1997, Vol. 128, pp. 135–142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the United Kingdom. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (ºC), and total monthly rainfall (mm). The following data below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows:15.2 14.2 14.0 12.2 14.4 12.514.3 14.2 13.5 11.8 15.2Assume that the standard deviation is known to be σ = 0.5.(a) Construct a 99% two-sided confidence interval on the mean temperature.(b) Construct a 95% lower-confidence bound on the mean temperature.(c) Suppose that you wanted to be 95% confident that the error in estimating the mean…Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of an infected deer tick. The following data represent the number of reported cases of Lyme disease and the number of drowning deaths for a rural county. Cases_of_Lyme_Disease Drowning_Deaths Month3 0 J2 1 F2 2 M4 1 A5 3 M15 9 J22 17 J13 5 A6 3…
- Consider a simple regression Y = B1 + B2 X + u. Suppose we found out that the variance of error term is changing with larger values of X (heteroscedasticity). Show how you overcome the problem of heteroscedasticity by using White’s heteroscedasticity consistent variances (only for variance of the slope estimate). Show and explain.A hospital records the number of floral deliveries its patients receive each day. For a two-week period, the records show PERIOD SALES 1. 15 2. 27 3. 26 4. 24 5. 18 6. 21 7. 26 8. 19 9. 15 10. 28 11. 25 12. 26 13. 17 14. 23 Determine, on the basis of minimizing the mean square error, whether a three-period moving average model or simple exponential smoothing with alpha of .4 gives a better forecast for this problem.1a. Develop an estimated regression equation for these data. 1b. Compute the residuals and standardized residuals
- Weekly downtime of internet services from an internet service provider (in hours) has expected value 0.5 and variance 0.25. Based on past experience, the data scientist of a retailer store has calculated the loss function to the store from the downtime as C=30X+2X2 where X is the amount of weekly downtime and C is cost. Find the Expected cost, i.e, E(C).The article “Models for Assessing Hoisting Times of Tower Cranes” (A. Leung and C. Tam, Journal of Construction Engineering and Management, 1999: 385–391) presents a model constructed by a stepwise regression procedure to predict the time needed for a tower crane hoisting operation. Twenty variables were considered, and the stepwise procedure chose a nine-variable model. The adjusted R2 for the selected model was 0.73. True or false: a) The value 0.73 is a reliable measure of the goodness of fit of the selected model. b) The value 0.73 may exaggerate the goodness of fit of the model. c) A stepwise regression procedure selects only variables that are of some use in predicting the value of the dependent variable. d) It is possible for a variable that is of no use in predicting the value of a dependent variable to be part of a model selected by a stepwise regression procedure.Q1A) List down the measures of central tendency and measures of dispersion 1) Q1B) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. PLEAS ANSWER Q1&B. THANK YOU.