If data set has a relationtionship that is best described by a linear model, then the residual plot will
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If data set has a relationtionship that is best described by a linear model, then the residual plot will
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- people eat cereal as a daily source of fiber, and these cereals contain the mineral potassium. Suppose a linear model was made to predict a cereal's potassium content using its fiber content, and suppose the model had intercept 37 and slope 25. For a cereal having 270 milligrams and 18 grams of fiber, what is the residual (in mg)?When the relationship between an independent variable and a dependent variable is assumed to be a straight line what type of regression is it? * a) Simple linear regression b) Multiple linear regression c) Both options A and B d) None of the above(b) Find the mathematical formula for the Prior distribution, using the information above and below (leaving a and 3 variable at this stage, that is not substituting in any values). (c) Find the generic form (with variables of p, a and 3) for the posterior distribution for the above situation.
- 7A company that manufactures shuttle cars and mines for the coal mining industry has determined that “coal production in the U.S.” is a fairly reliablethree-quarter leading indicator of their sales. This quarter’s coal production in the United States can be obtained from the Department of Energy and it is used to obtain a forecast of their shuttle car and miner sales nine months from now. For the data below, determine a linear equation based on regression analysis and prepare a forecast of company sales three quarters from now.Put the following steps, for finding a linear model for a set of data using a TI-84 calculator, in the correct order. 1 [Choose] [Choose] Enter your data in STAT-->EDIT with inputs in L1 and outputs in L2 Press STAT-->CALC to access the menu of possible models. Read off your answer, being careful to match the slope to the coefficient of x. Be sure XList: L1, YList: L2, Freg List: (empty) and select "Calculate" Choose LinReg(ax+b) or LinReg(a+bx) [Choose] 3. 4. [Choose] [Choose ]
- Cereals For many people, breakfast cereal is an im-portant source of fiber in their diets. Cereals also con-tain potassium, a mineral shown to be associated with maintaining a healthy blood pressure. An analysis of theamount of fiber (in grams) and the potassium content (inmilligrams) in servings of 77 breakfast cereals producedthe regression model Potassium = 38 + 27 Fiber. Ifyour cereal provides 9 grams of fiber per serving, howmuch potassium does the model estimate you will get?Nassau County is located approximately 25 miles east of New York City. The accompanying data include the fair market value (in thousands of dollars), land area of the property in acres, and age, in years, for a sample of 20 single-family homes located in Glen Cove, a small city in Nassau County. Develop a multiple linear regression model to predict the fair market value based on land area of the property and age, in years. Complete parts (a) through (f). Click the icon to view the data table. a. State the multiple regression equation. Let X1; represent the land area of the property in acres and let X2 represent age, in years. Ý; = 458.4 + ( 421.7) ×1 + ( – 1.8) X21 - (Round to one decimal place as needed.) b. Interpret the meaning of the slopes, b, and b2, in this problem. Choose the correct answer below. O A. For a given age, each increase of 1 acre in land area is estimated to result in an increase in fair market value by b, dollars. For a given land area, each increase in one year…An outlier can reduce the accuracy of a linear model. True False
- Midgett Co. has accumulated data to use in preparing its annual profit plan for the upcoming year. The cost behavior pattern of the maintenance costs must be determined. The accounting staff suggested that linear regression be employed to derive an equation for maintenance hours and costs. Data regarding the maintenance hours and costs for the last year and the results of the regression analysis are as follows: Month MaintenanceCost Machine Hours Jan. $ 5,000 600 Feb. 3,644 440 Mar. 4,400 610 Apr. 3,337 480 May 5,222 660 June 3,390 410 July 3,618 470 Aug. 5,384 630 Sept. 5,114 590 Oct. 4,883 590 Nov. 3,925 430 Dec. 3,850 350 Sum $ 51,767 6,260 Average $ 4,313.92 521.67 Average cost per hour ($51,767/6,260) = $8.27 (rounded to the nearest cent) r = 0.85977 r2 = 0.73920 The percent of the total variance that…Researchers at a large nutrition and weight management company are trying to build a model to predict a person’s body fat percentage from an array of variables. A variables selection method is used to build a regression model. SAS output for the final model is given in photo. Question: What percentage of the variation in percent body fat remains unexplained, even after introducing weight and abdomen circumference into the model, and then also determine the interpretation of the slope for weight?The following linear regression model can be used to predict ticket sales at a popular water park. Ticket sales per hour = - 631.25 + 11.25(current temperature in °F)23) Choose the statement that best states the meaning of the slope in this context. A) The slope tells us that a one degree increase in temperature is associated with an average increase in ticket sales of 11.25 tickets. B) The slope tells us that high temperatures are causing more people to buy tickets to the water park. C) The slope tells us that if ticket sales are decreasing there must have been a drop in temperature. D) None of these
