A study on the sales (Y=no. of units sold) and the price (X, in pesos) showed the following result: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Price 0.7727 0.5971 0.870626578 1.086529053 df Coefficients 20 SS MS F Significance F 1 152.1271 152.1271 128.8617 1.2273E-09 18 21.24982 1.180545 19 173.3769 SE t Stat P-value Lower 95% L 2259 1.593473 46.61723 3.17E-20 70.9355509 -1418 1.316758 11.35173 1.23E-09 12.1810733 According to this model, how many units will be sold, on the average, when the price of the item is Php1.10? 699.2 1066.9 3902.9 3818.8
Q: Should the intercept be interpreted in this case?
A:
Q: 27. Below is some of the regression output from a regression of the price of a copier (expressed in…
A: From the regression output it can be determined that the intercept value of the regression equation…
Q: a. Source SS df MS F Model 34.21 Error Total 66.12 54 b. Source SS df MS Model 6.03 Error 16 Total…
A: We want to complete the ANOVA Tables for simple linear model. There is only one independent variable…
Q: The following Excel tables are obtained when "Score received on an exam (measured in percentage…
A: The question is about regression.Introduction :Interpretation of slope :1 ) If the x variable…
Q: AAA Inc sells metal sports bottles. The bottles sell for $3.00. Regression for the number of bottles…
A: From the above output, we can see that the regression equation for cost will be Y= a+bx where…
Q: 14. More Computation on Predicting GPA Computer output for a regression model to predict grade point…
A: Obtain the value of the standard deviation of the error term. The value of the standard deviation of…
Q: Test whether increased speed is linked with the claim cost.
A: Regression analysis is useful to test if there exists significant relationship between two…
Q: Based on the value of r and/or the fit of the regression line, is the regression line a good…
A: correlation measures the degree of linear relationship between dependent variable and independent…
Q: Which analyses strongly recommend analysis of residuals before a reliable interpretation of a…
A: Answers 1 and 2 only
Q: Using the following information: Coefficients Intercept -12.8094 Independent variable 2.1794…
A: From the give information, y^=-12.8094+2.1794x
Q: The following presents a sample of the number of defective flash drives produced by a small…
A: Here, from the Excel output, it is clear that week (y) is considered as dependent variable and…
Q: How to compute for the 1. ∑x2 2. ∑ y2 3. ∑xy of this data set for linear regression?
A: Solution-: Let, X=decile rank and Y=Grade point average We want to find, (1) ∑X2=? (2) ∑Y2=? (3)…
Q: At a-value-0.01, test whether there is a significant relationship between the dependent variable (Y)…
A: After analyzing the ANOVA table, we can confidently conclude that the given model is…
Q: a. Complete the missing entries from A to H in this output b. Estimate the annual credit card…
A: a. The R square value is, R…
Q: Using the following information. Coefficients Intercept -12.8094 Independent variable 2.1794 ANOVA…
A: Using the formula standard error is the estimate of the mean sqaure error estimate ,we wil calculate…
Q: the following ANOVA table for regression to answer the questions. Response: Y Source DF Sum…
A:
Q: What is the numeric value of the slope coefficient associated with Age in this model? (Round your…
A: From the output of the regression analysis, the slopes of coefficients are given below. The slope of…
Q: The following regression output was obtained from a study of architectural firms. The dependent…
A: 1. c. Hypothesis: The null and alternative hypothesis are given below: H0: β1=β2=β3=β4=β5=0H1:…
Q: For the following data:- X Y 3 2 5 6 4 9 2 3 5 6 5 4 Find the regression equation…
A: Given that Input Data :Data set x = 3, 5, 4, 2, 5, 5Data set y = 2, 6, 9, 3, 6, 4Total number of…
Q: nterpret each residual plot using the appropriate descriptions. Identify all of the descriptions…
A: 1. Shows that linear model is not a good fit Exhibits Heteroscedasticity nonconstant variance in the…
Q: What is the coefficient of determination
A: The sum of square of regression is given by SSR = 12323.56 The sum of squares of Total is SST =…
Q: The commercial division of a real estate firm is conducting a regression analysis of the…
A: Hi thank you for posting this questions, since you have posted multiple question as per our policy…
Q: Suppose you have a theory that as the number of Michigan graduates in a room increases by 1 the…
A: Given Data: Total=6000 To Find: Sum of regression and Sum of residuals
Q: Simple regression was employed to establish the effects of childhood exposure to lead. The effective…
A: The study was employed to establish the effects of childhood exposure to lead.
Q: In the table above, the proportion of the variation in "Score received on the exam" that can be…
A: The regression output is given.
Q: Given the following regression source table, can we say that the slope is significant at 5%? (Use…
A: The table provided in the question that contains the result of the hypothesis test for the slope is…
Q: Based on the Descriptive Statistcs table below, 1. Use this formula to calculate Adjusted R2 = 1.0…
A: Given observation
Q: A business is evaluating their advertising budget, and wishes to determine the relationship between…
A: Solution We have given the regression output So from coefficient table we have the regression…
Q: A quadratic regression was fitted to the data. Parts of the computer output appear below. Predictor…
A:
Q: What is the predici pping trips for someone making $50,000/year? In words, what is the meaning of…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Based on the tables and graphs below, interpret and report the results. You need to identify the…
A: There are 2 variables. ‘Value of monthly sales in $k in 2007’ is dependent variable (Y) and…
Q: What advertising method provides the least additional revenue per dollar spent? Select one: a.…
A: Given, Multiple R 0.95 R Square 0.90 Adjusted R Square 0.82 Standard Error…
Q: Table Analyzed HVC Volume Two-way ANOVA Ordinary Alpha 0.05 Source of Variation Interaction 3.893…
A: A two way analysis of variance (ANOVA) was conducted to investigate the effect of two categorical…
Q: 3. A regression of infant mortality rates (annual deaths per thousand births) on median annual…
A:
Q: A regression line is used to satisfactorily describe the relationship between the width of tires in…
A: Here the given regression analysis table is : We have to find the 98% confidence interval for the…
Q: Assuming the lowest decile of men receive an average of $800/month in Social Security, while the…
A: Introduction:Observe the “Born in 1940” curve in the given graph. The average of the lowest decile,…
Q: You are required to: a. Interpret the results of regression analysis. (6 Marks) b. Compose a…
A: Significance of the variables Since the p-value for all the coefficients is less than 0.05, we…
Q: Simple regression was employed to establish the effects of childhood exposure to lead. The effective…
A:
Q: 3. The following tables show the result of statistical analysis in a study titled "Correlates of…
A: Introduction: A multiple regression analysis output is given.
Q: The following regression output was obtained from a study of architectural firms. The dependent…
A: Note: Hey, since multiple sub parts are posted, we will answer first three sub parts according to…
Q: b) Determine the multiple regression model for this analysis.
A: Intercept = 657.053 x1 = 5.7103 x2 = -0.4169 x3 = -3.4715
Q: Using the following information. Coefficients Intercept -12.8094 Independent variable 2.1794
A: The regression line equation is given by = a + bx Where b = slope of the line a = intercept of the…
Q: A multiple regression analysis to assess the effects of age and wage ($/hr) on productivity units…
A: Regression Analysis: Regression analysis is used measure the association between two or more…
Q: tiple R quare usted R Square ndard Error ervations OVA ression 0.999872443 0.999744903 Sr…
A: To find tabulated t value we use t distribution table to calculate tabulated t value we need: The…
Q: Given Coefficient = 40 Standard Error of the Coefficient = 8 What is the Lower Bound of the 95%…
A: coefficient = 40standard error of coefficient ( SE ) = 8confidence level = 95 %so
Step by step
Solved in 2 steps
- Interpret the slope in this model.You may need to use the appropriate technology to answer this question. Following is a portion of the computer output for a regression analysis relating y = maintenance expense (dollars per month) to x = usage (hours per week) of a particular brand of computer terminal. Analysis of Variance SOURCE DF Adj SS Adj MS Regression 1 1575.76 1575.76 Error 8 349.14 43.64 Total 9 1924.90 Predictor Coef SE Coef Constant 6.1092 0.9361 X 0.8951 0.1490 Regression Equation Y = 6.1092 + 0.8951 X #1) Write the estimated regression equation. ŷ = #2) Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.) #3)Use the estimated regression equation to predict monthly maintenance expense (in dollars per month) for any terminal that is used 15 hoursper week. (Round your answer to the nearest cent.) $ _____per month5. The following results were obtained from a multiple regression analysis . Conclusion of the test of significance of the model at 5% level is A. the model is insignificant . B. not enough information to make conclusion . C. model is significant . D. None
- A business is evaluating their advertising budget, and wishes to determine the relationship between advertising dollars spent and changes in revenue. Below is the output from their regression. SUMMARY OUTPUT Regression Statistics Multiple R 0.95 R Square 0.90 Adjusted R Square 0.82 Standard Error 0.82 Observations 8 ANOVA df SS MS F Significance F Regression 3 23.188 7.729 11.505 0.020 Residual 4 2.687 0.672 Total 7 25.875 Coefficients Std Error t Stat P-value Lower 95% Upper 95% Intercept 83.91 2.03 41.36 0.00 78.28 89.54 TV ($k) 1.96 0.48 4.10 0.01…Using the regression model from the previous problem, what is the interpretation of the slope coefficient associated with Age? Assume Salary is measured in $1,000's.Big Time Corporation wanted to determine the relationship between its monthly operating costs and a potential cost driver, machine hours. The output of a regression analysis showed the following information (note: only a portion of the regression analysis results is presented here) SUMMARY OUTPUT Regression Statistics Multiple R 0.998041188 R Square 0.996086212 Adjusted R Square 0.994781616 Standard Error 917.1714273 Observations 5 ANOVA df SS MS F Significance F Regression 1 642276389.7 642276389.7 763.5208906 0.000104039 Residual 3 2523610.281 841203 427 Total 4 644800000 Coefficients Standard Errort Stat P-value Intercept 6679.617454 931.8558049 7.168080532 0.005592948 3714.03639 X Variable 9.796772265 0.354545968 27.63188178 0.000104039 8.66844876 What is variable cost per machine hour (rounded to the nearest cent)? OA. $6,679.62 OB. $917.17 OC. $9.80 OD. $.99 Lower 95% Upper 95.0% 9645.198517 10.92509577
- The regional manager of a franchise business is interested in understanding how income in a region affects sales. Below is a regression output for sales ($’000) regressed on the average household income of an area ($’000) Linear Fit Sales = 14.5774 + 2.9048*Income Summary of Fit RSquare 0.9683 RSquare Adj 0.9630 Root Mean Square Error 3.1083 Mean of Response 43.6250 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 1 1771.9048 1771.90 183.3946 Error 6 57.9702 9.66 Pro>F C. Total 7 1829.8750 ItI Intercept 14.5774 2.4101 6.05 0.0009* Income 2.9098 0.2145 13.54 < 0.0001* Answer the following questions: (i) What is the average sales across all regions? (ii) Interpret the slope of regression (iii) What is the prediction of the value of sales in a region with an average…Does Job stress influence overall life satisfaction? A sample of 7,814 people were surveyed, and this is the result of the regression analysis: Descriptive Statistics Mean Std. Deviation N Life satisfaction 7.97 1.194 7817 Job stress 3.16 1.667 7817 Model Summaryb Model R R Square Adjusted R Square Std. Error of the Estimate Change Statistics R Square Change F Change df1 df2 Sig. F Change 1 .228a .052 .052 1.162 .052 427.062 1 7815 .000 a. Predictors: (Constant), Job stress b. Dependent Variable: Life satisfaction ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 577.130 1 577.130 427.062 .000b Residual 10561.161 7815 1.351 Total 11138.291 7816 a. Dependent Variable: Life satisfaction b. Predictors: (Constant), Job stress Coefficientsa Model Unstandardized…Using the regression model from the previous problem, what is the interpretation of the slope coefficient associated with Age? Assume Salary is measured in $1,000's.
- Rewrite the regression model to include coefficients from your regression analysis output and then answer the following question What would be the company's loss if the significant variable(s) change per unit? SUMMARY OUTPUT Regression Statistics Multiple R 0.93082 R Square 0.866425 Adjusted R Square 0.85833 Standard Error 4108.993 Observations 36 ANOVA df SS MS F Significance F Regression 2 3.61E+09 1.81E+09 107.0261 3.75E-15 Residual 33 5.57E+08 16883824 Total 35 4.17E+09 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 3996.678 6603.651 0.605223 0.549171 -9438.55 17431.91 -9438.55 17431.91 X Variable 1 43.5364 3.589484 12.12887 1.05E-13 36.23354 50.83926 36.23354 50.83926 X Variable 2…Let's study the relationship between brand, camera resolution, and internal storage capacity on the price of smartphones. Use α = .05 to perform a regression analysis of the Smartphones01CS dataset, and then answer the following questions. When you copy and paste output from MegaStat to answer a question, remember to choose to "Keep Formatting" to paste the text. a. Did you find any evidence of multicollinearity and variance inflation among the predictors. Explain your answer using a VIF analysis. b. Copy and paste the normal probability plot for your analysis. Is there any evidence that the errors are not normally distributed? Explain. c. Copy and paste the Residuals vs. Predicted Y-values. Does the pattern support the null hypothesis of constant variance for the errors? Explain. d. Study the residuals analysis. Which observations, if any, have unusual residuals? e. Study the residuals analysis. Calculate the leverage statistic. Which observations, if any, are high leverage…IBM wonders if its announcement of an acquisition had a significant impact on its stock price. On the day of the announcement/event IBM's stock was up 1% while the Market Index was up 0.06%. Regression results for 120 days prior to the event are: M IBM Market Index Average Daily Returns: 0.045% Standard Deviation: 1.103 % 0.04% 1.265% Intercept = 0.0010; Slope 0.8500 :SSR 0.0129 Did the Event have a significant impact on the stock price? Test at the 5% significance level?