In a study, data collected for 40 observations were used to model the dependent variable y with 8 independent variables under consideration, x1, X2, ... , Xg. Consider a stepwise regression run on the data. 1. What is the form of the model fit in sten 1? How many modelc aro fit? Hou in the "

A student used multiple regression analysis to study how family spending (y) is influenced by income (x) family size (x2), and addition to savings(x3). The variables y, x1, and x3. The variables y, x1, and x3 are measured in thousands of dollars . The following results were obtained.       ANOVA        df SS Regression 3 45.9634 Residual 11 2.6218 Total         Coefficient Standard Error Intercept 0.0136   X1 0.7992 0.074 X2 0.2280 0.190 X3 -0.5796 0.920   Write out the estimated regression equation for the relationship between the variables. Compute coefficient of determination. What can you say about the strength of this relationship? Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significant. Carry out a test to see if X3 and y are significantly related. Use a 5% level of significance

Use the Stata output below to answer the following question. The data used in this analysis is from a sample of airlines. The variables used are: fare-avg price of a one-way fare, in dollars dist- distance of the flight, in miles .reg fare ldist. Source Model Residual 551.391705 Total lfare SS ldist _cons 875.094374 df The OLS results suggest that 1 323.702668 120024315 4,594 MS Coef. Std. Err. 4,595 190444913 Number of obs F(1, 4594) Prob > F R-squared Adj R-squared Root MSE t P>|t| .4025646 .0077517 51.93 0.000 2.399834 .0521601 46.01 0.000 4,596 2696.98 0.0000 0.3699 0.3698 .34645 [95% Conf. Intervall .3873676 .4177617 2.297575 2.502093 a 1% increase in distance is associated with approximately a $.40 increase in the price of the fare. a 1% increase in distance is associated with approximately a .40% increase in the price of the fare. a 1% increase in distance is associated with approximately a 40 % increase in the price of the fare. None of the above.

Which of the following tools is not appropriate for studying the relationship between two numerica variables? Correlation coefficient Scatter plot Historam Regression

Can you please check my work

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…

A car dealership would like to develop a regression model that would predict the number of cars sold per month by a dealership employee based on the​employee's number of years of sales experience. The accompanying regression output was developed based on a random sample of employees.   a. Predict the sales next month for an employee with 2.5 years of experience.   The predicted sales is 8.6 cars.   b. Compute the coefficient of determination and interpret its meaning.   The coefficient of determination is 0.234 ​ ​Therefore, about _________% of the variation in monthly sales is explained by the years of sales experience.   ​(Type an integer or decimal rounded to one decimal place as​ needed.)

The statistic used to test whether individual regression coefficients are different from zero in the population is: Select one: a. F O b. b Oc. R2 O d. t Clear my choice

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In a regression analysis involving 25 observations, the following estimated regression equation was developed.ŷ = 10 – 18x1 + 3x2 + 14x3Also, the following standard errors and the sum of squares were obtained.Sb1 = 3 Sb1 = 6 Sb1 = 7SST = 4,800 SSE = 1,296The multiple coefficient of determination is _____.   a. .27     b. .73     c. .33     d. .50