What can you say about SSE, SSR, and the utility of the regression equation for making predictions if a. r 2 = 1? b. r 2 = 0?

A sports statistician was interested in the relationship between game attendance (in thousands) and the number of wins for baseball teams. Information was collected on several teams and was used to obtain the regression equation y = 4.9x + 15.2, where x represents the attendance (in thousands) and ŷ is the predicted number of wins. What is the predicted number of wins for a team that has an attendance of 2,100? 25.49 wins 31.92 wins 36.82 wins 10,305.2 wins

What is the difference between the following two regression​ equations?                                                  y=b0+b1x                                                                           y=β0+β1x Choose the correct answer below. A. The first equation is for a​ population; the second equation is for sample data.   B. The first equation is for sample​ data; the second equation is for a population.

sarsti

2. The following random sample was selected from a normal distribution: 4,6,3,5,9,3 a. Construct a 90% confidence interval for the population mean μ

You may need to use the appropriate technology to answer this question. A regression analysis involving 45 observations relating a dependent variable and two independent variables resulted in the following information. ŷ = 0.406 + 1.3385x₁ + 2x₂ The SSE for the above model is 43. When two other independent variables were added to the model, the following information was provided. ŷ = 1.9 - 3x₁ + 12x2 + 4x3 + 8x4 This model's SSE is 36. At a 0.05 level of significance, test to determine if the two added independent variables contribute significantly to the model. State the relevant null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H₂: B₁ = P₂ = P3 =B4 = 0 B1 O Ho: One or more of the parameters is not equal to zero. H₂: B3 =B₁ = 0 O Ho: B3 = P4 = 0 H₂: None of the parameters are equal to zero. O Ho: B3 B4= = = H₂: One or more of the parameters is not equal to zero. O Ho: P₁ = P₂ = P3= P4= H: One or more of the parameters is not equal to zero. Find…

A corporation has asked you to prepare some multiple regression equations to estimate the effect of variables on fuel economy. The data for this study are shown below, and the dependent variable is miles per gallon. Complete parts a and b. Miles 43.3 Horsepower 50 Weight 1985 36.3 67 1885 32.7 51 1990 + ŷ =) ()×₁ + ( )×₂ (Round to four decimal places as needed.) 39.5 72 2090 36 62 1880 19.2 110 3370 19.1 142 3775 20.9 136 3560 19.9 101 3165 a. Prepare a regression equation that uses vehicle horsepower and vehicle weight as independent variables. Let x₁ be defined as horsepower and x₂ be defined as weight. 20.8 94 2720

If the R-squared for a regression model relating the outcome y to an explanatory variable x is 0.9. This implies that there is a positive linear relationship between y and x. True or false?

A researcher conducted a number of descriptive statistics for two variables X and Y. They were as follows: SP = 15; SSx = 3; My = 7; Mx = 3 What is b equal to (Please include the sign: e.g., -20)?  What is a equal to (please include the sign: e.g., +4.0)?  Using b and a construct a regression equation, and then using the regression equation, calculate the value of predicted Y when X = 2?

A multiple regression equation with two predictor variables is calculated for a set of scores from a sample of n = 20 individuals. If the constant values in the equation are b₁ = 2, b₂ = 1.5, and a = 7, then what Y value would be predicted for an individual with X₁ = 1 and X₂ = 2? 09 O-2 O 12 O 35 0 000