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- F test of a multiple regression model Español The finance department of an automobile insurance company uses a multiple regression model to estimate the total number of accident claims that will be filed each month. Based on the most recent 26 months of claims data, the company has selected 3 independent variables that it believes are related to accident claims. Let B,, By, and Bz denote the coefficients of the 3 variables in this model. When this data is entered into a regression software program, the error sum of squares (SSE) associated with the model is reported to be 23.38 and the corresponding regression sum of squares (SSR) is 4.02. Using a significance level of 0.05, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting monthly accident claims? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (a) State…77. DISCUSS: The Least Squares Line The least squares line or regression line is the line that best fits a set of points in the plane. We studied this line in the Focus on Modeling that follows Chapter 1 (see page 174). By using calculus, it can be shown that the line that best fits the n data points (x1, yı), (X2, y2), - .. , (X, Yn) is the line y = ax + b, where the coefficients a and b satisfy the following pair of linear equations. (The notation E- x, stands for the sum of all the x's. See Section 13.1 for a complete description of sigma (E) notation.) x Ja + nb = Ey. k=1 (2:)- + (2-) » - .» k=1 Use these equations to find the least squares line for the fol- lowing data points. (1, 3), (2,5). (3, 6), (5,6). (7,9) Sketch the points and your line to confirm that the line fits these points well. If your calculator computes regression lines, see whether it gives you the same line as the formulas.plz solve with explanation within 30-40 mins
- Find all values of y such that the distance between (3, y) and (-2, 9) is 13. O -21 O 3 O (3, -21) O value not listedt Test for TWO DEPENDENT (Related) SAMPLES (Show all work) A manufacturer of a gas additive claims that it improves gas mileage. A random sample of 40 drivers tests this claim by determining their gas mileage for a full tank of gas that contains the additive (X1) and for a full tank of gas that does not contain the additive (X2). The sample mean difference D-Bar equals 2.12 miles (in favor of the additive) and the estimated standard error equals 1.50 miles. Test the Null Hypothesis with t, using the .05 Level of significance and construct a 95 percent confidence interval (whether you reject OR retain the Null Hypothesis)I don't understand how to do it