d) Identify which variables are negatively related with the defence budget outlay. How can you identify? e) Specify and interpret the value of R² for the regression. f) Test at 5% significance level whether the model has any explanatory power by using R².
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- How do you find the best predicated number of viewers for a television star with a salary of 10 million ?Suppose that a kitchen cabinet warehouse company would like to be able to predict the area of a customer’s kitchen using the number of cabinets and the kitchen ceiling height. To do so data is collected on the following variables from a random sample of customers: Area – area of the kitchen in square feet Height – ceiling height in the kitchen (from floor to ceiling) in inches Cabinets – number of cabinets in the kitchen Suppose that a multiple linear regression model was fit to the data and that the following output resulted: Coefficients: (Intercept)HeightCabinets Estimate-57.98771.2760.3393 Std. Error8.63820.26430.1302 t value -6.7134.8282.607 Pr(>|t|)2.75e-074.44e-050.0145 What is the predicted area of a kitchen with a height of 96 inches and 10 cabinets? Report your answer to 1 decimal place. square feetUse the p-value criterion to find the best model for predicting the number of points scored per game by football teams using the accompanying National Football League Data. Does the model make logical sense? Click the icon to view the National Football Leaque Data. Determine the best multiple regression model. Let X, represent Rushing Yards, let X, represent Passing Yards, let X, represent Penalties, let X, represent Interceptions, and let Xg represent Fumbles. Enter the terms of the equation so that the Xy-values are in ascending numeral order by base. Select the correct choice below and fill in the answer boxes within your choice. (Type an integer or decimal rounded to three decimal places as needed.) O A. Points/Game = O B. Points/Game = Oc. Points/Game = OD. Points/Game = + ( DX Points/Game = O E.
- A professor at the University of Alabama was interested in evaluating the relationship between family support and delinquency. Using data collected on 4545 families, the researcher used regression to analyze the relationship. The results are presented below. Variables Entered/Removeda Model Variables Entered Variables Removed Method 1 Family supportb . Enter a. Dependent Variable: Delinquency b. All requested variables entered. Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .249a .062 .062 1.59168 a. Predictors: (Constant), Family support ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 759.204 1 759.204 299.671 <.001b Residual 11479.107 4531 2.533 Total 12238.311 4532 a. Dependent Variable: Delinquency b. Predictors: (Constant), Family support…6. another retail merchant who sells face masks spent a total $55 for advertising its product. using the regression model in (4), predict the sale of this merchant.As a marketing manager for TriFood, you want to determine whether store Sales (# sold in one month) of TriPower bars are related to price (in cents) of TriPower bars and in-store promotional expenditures (in dollars) for TriPower bars. You conduct a multiple regression analysis with store Sales (Y) as the response variable, and Price (X1) and Promotion (X2) as explanatory variables. Use the pictured Excel regression output below to answer the questions. a) Interpret the value for R square. Interpret the estimated coefficient for price. b) State the hypotheses for assessing the statistical significance of the overall regression equation. Does the model overall fit the data (yes or no?) f) An external consultant to TriFoods believes that for every $1 increase in promotional expenditures, sales will increase by 4.7 units. Test the consultant's hypothesis at a 5% significance level using both approaches (tcalc vs tcrit and p-value vs a).
- To determine the effectiveness of group study sessions, a college instructor gathers data on hours of attendance and exam scores for students in the class. Which variable, hours of attendance or exam scores, would be the response variable for a least-squares regression equation? is it hours of attendance or exam scores?The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts (a) to (c) below. E Click the icon to view the data table. ked Бcor (a) Find the least-squares regression line for males treating the number of licensed drivers as the explanatory variable, x, and the number of fatal crashes, y, as the response variable. Repeat this procedure for females. Find the least-squares regression line for males. Data for licensed drivers by age and gender. (Round the slope to three decimal places and round the constan ion estion 4 Number of Number of tion Number of Male Fatal Licensed Drivers Crashes Number of Female Fatal Licensed Drivers (000s) Crashes Age (000s) (Males) (Females) 74 4,803 2,022 5,375 973 Enter your answer in the edit fields and then click Check Ans Print Done parts remainingPlease show all the steps without using any software
- The manager of a car dealership wants to predict the relationship between number of sales persons and the number of cars sold. He collects some data to develop a regression model, which is given below Week Number of cars sold Number of salespersons 1 80 6 2 90 8 3 48 4 4 55 5 5 60 7 6 75 9 7 100 11 8 70 6 9 65 7 10 98 10 (i) Run a regression analysis which explains the number of cars sold in terms of number of salespersons, and estimate the regression line (ii) Interpret the regression coefficient, and determine the significance of the regression coefficient (iii) Interpret the overall model fit…As part of an effort to induce the public to conserve energy, a researcher wanted to analyze the factors that determine home heating costs. In a city known for its long, cold winters the researcher took a random sample of 35 houses and collected data on the following variables: cost of heating during the month of January, house size in hundreds of square feet, number of windows, and number of occupants per house. A multiple regression model for the cost of heating was estimated with the Excel output shown below: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Size Windows Occupants 0.554 0.511 34.898 35 Df 31 34 Coefficients 11.088 5.632 3.179 15.431 SS 46919 37754 84673 Standard Error 4.532 1.489 1.966 6.850 MS 15639.7 1217.9 t Stat 2.45 3.78 1.62 2.25 F 12.84 P-value 0.0202 0.0006 0.1154 0.0316 Significance F 0.000 a. Using a 5% significance level, determine if there exists a significant…Use the given data to find the best predicted value of the response variable. Use a significance level of 0.05The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is y=11.3+1.24x. Ten pairs of data were used to obtain the equation. The same data yield r=0.852 and y¯=80.14. What is the best predicted job performance rating for a person whose attitude rating is 72?