Use the following set of points to test the null hypothesis H₁B₁=0 versus H₁ : ß₁ ‡0. Use the critical value method with the a=0.10 level of significance. The1slope of the regression line for this data is computed to be b₁ = 1.06496, and the standard error of b₁ is computed to be Sb = 0.097861.Xy1916 3132Send data to ExcelPart: 0 / 4Part 1 of 48 29 17 16 15 18Critical value(s):5 27 12 12 16 14Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas.0,0,...XŚ Part 2 of 4Compute the test statistic. Always round t-score values to three decimal places.t =Part: 2 / 4Part 3 of 4Determine whether to reject Ho(Choose one) the null hypothesis Ho.Part: 3 / 4Part 4 of 4Summarize the results.There (Choose one)the variables.××enough evidence to conclude that there is a linear relationship betweenŚXŚ

The following information has been given:The slope is The standard error of slope is The sample size…

Answered: Use the following set of points to test…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. Consider the following multiple regression results, where the dependent variable is the number of movie tickets sold per week, X, is the ticket price, and X2 is the cost of DVD rental. -51.0918X¡1 + 41.4607X¡2 (37.0184) (13.130) (0.584) Sp t = (-6.800) SSR = 17,023 SSE = 6,262 = 23,285 SST = п 3D 20 Complete the missing entries in the output. 1 | Are the slope coefficients, b, and b2, individually statistically significant (a = 0.10 2. 3. Calculate the standard error of the regression (s.) and the R2.
Q4. Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable) and X (independent variable). ANOVA df SS Regression 1 115.064 Residual 13 82.936 Total Coefficients Standard Error Intercept 15.532 1.457 x -1.106 0.261 Perform a t test using the p-value approach and determine whether or not Y and X are related. Let a = 0.05. Formulate the null and alternative hypotheses Select the significance level Select the test statistic and calculate its value. Identify p-value/critical value for the test statistics and state the decision rule Compare calculated/p-value and critical/al[ha values and reach a conclusion about the null hypothesis
please help.
Consider the set of ordered pairs shown below. Assuming that the regression equation is y= 2.814 + 0.406x and the SSE = 5.313, construct a 90% prediction interval for x= 3. x 6 0 4 4 4 2 y 5 3 6 5 3 3 Calculate the upper and lower limits of the prediction interval. UPL=LPL= Someone please help me solve this! Thank you!
The amount of gas used by a typical household in a week (Q, in litres) is found to have a strongcorrelation with the price of gas (P, in $). For 6 observations, the following data was collected:Q P11.4 4.0014 3.5016 3.0018 2.5020 2.00(a) Create a regression relationship for this data(b) Perform a hypothesis test to determine whether the slope coefficient obtained in part (a) above is statistically significant(c) Use the regression equation in part (a) above to predict the quantity of gas used by a household when the price is $3.75 per litre(d) Calculate the price elasticity of demand for gas at a price of $3.75 (e) Using a further calculation, discuss how well the regression equation in part (a) above fits the data
Using 25 observations on each variable, a computer program generated the following multiple regression model: yhat=69.2+2.87x1+5.81x21.83x3 If the standard errors of the coefficients of the independent variables are, respectively, 1.34, 4.84, and 0.70, can you conclude that the independent variable x1 is needed in the regression model? Let β1, β2, and β3 denote the coefficients of the 3 variables in this model, and use a two-sided hypothesis test and significance level of 0.05 to determine your answer. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least two decimal places.) The two critical values at the 0.05 level of significance:(Round to at least two decimal places.) and Can you…
The least-square regression line for the given data is y = 0.449x - 30.27. Determine the residual of a data point for which x = 98 and y = 15, rounding to three decimal places. Temperature, x Number of absences, y OA. 28.732 B. 1.268 C. 121.535 O D. 13.732 72 3 85 7 91 10 90 10 88 98 75 100 80 8 15 4 15 5
Compute the peast -squares regression line for predecting y from x given the following summary statistics: X= 8.1 s=1.2 y=100 sy= 15 r= 0.70

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