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- 9:33 AA www-awn.aleks.com O REGRESSION AND CORRELATION Predictions from the least-. Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot) coffee sales and daily temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivariate data values for the coffee sales (denoted by y, in dollars) and the maximum temperature (denoted by x, in degrees Fahrenheit) for each of fifteen randomly selected days during the past year are given below. These data are plotted in the scatter plot in Figure 1. Temperature, x (in degrees Coffee sales, y (in dollars) Fahrenheit) 68.3 1787.6 38.9 2311.0 72.9 1684.0 2200 58.8 1979.5 63.4 1816.4 2000 75.8 1997.6 46.9 2131.7 71.0 1973.9 100 38.7 2018.2 1400 53.9 1597.5 45.9 1996.1 75.4 1501.0 50.9 2266.3 81.7 1574.5 Figure 1 45.5 1798.9 Send data to Excel After deciding on the appropriateness of a linear model relating coffee sales and maximum temperature, the managers…The accompanying table shows partial regression results. ΑΝNOVA df SS MS F Significance F Regression 1 78.53 78.53 3.58 0.0608 Residual 23 504.02 21.91 Total 24 582.55 Coefficients Standard Error 14.08 t-stat p-value Intercept 40.10 2.848 0.0052 Advertising 2.88 1.52 -1.895 0.0608 Is x significantly related to y at the 5% significance level? No, since the slope coefficient of 2.88 is greater than the test statistic of 2.25. Yes, since the slope coefficient of 2.88 is greater than the test statistic of 2.25. Yes, since the p-value of 0.0608 is greater than 0.05 No, since the p-value of 0.0608 is greater than 0.05Based on the regression equation, what would be the predicted weight of a student who is 64 inches tall?
- Which statistic is associated only with multiple regression and not with simple regression? adjusted R2 partial F test estimated or predicted value z-testUse ANOVA to test the hypothesis Ho: β = 0 versus H1: β = 0. What will be the value of f? write your solution clealy. thanksChildhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a stan- dardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of p %3D 50 and %3D 15. The sample of group- a standard deviation of o %3D participation adolescents had an average of M = 53.8.
- The commercial division of a real estate firm is conducting a regression analysis of the relationship between I, annual gross rents (in thousands of dollars), and y, selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. ANOVA MS Significance F Regression 1 41587.6 Residual Total 51984.7 Coefficients Standard Error t Stat P-value Intercept 20.000 3.2213 6.21 Apnual Gros 7.240 1.3621 5.29 Rents a. How many apartment buildings were in the sample? b. Write the éstimated regression equation (to 2 decimals if necessary). c. Use the t statistic to test the significance of the relationship at a 0.05 level of significance. What is the p-value? Use Table 2 of Appendix D. P-value is-Sclect your answer - What is your condusion? - Select your answer - d. Use the F statistic to test the significance of the relalionship at a 0.06 level uf significanct. Compute the F test slatistic (to 2…Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the neorest fire station. This information will be used in setting rates for insurance coverage. For o somple of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire domage, in thousands of dollars (y). ANOVA table Source Regression Residual SS df MS F 1,870.5782 1,870.5782 41.39 1,265.4934 3,136.0716 28 45.1962 Total 29 Regression output Standard Variables Coefficients Error t(df-28) Intercept Distance-X 13.76815 3.106 2.914 3.77es e. 5861 6.43 Click here for the Excel Data File a-1. Determine the regression equation. (Round your answers to 3 decimal places.) y3D X. a-2 Is there a direct or indirect relotionship between the distance from the fire station and the amount of fire damage? The relationship between distance and damage is b. How much domage would…find the critical value and identify the rejection region. Also find the standard test
- Use the given information to find the critical values and . (Use technology or the attached Chi-Square table.) Platelet Counts of Women 80% confidence n=26 s=65.3People were polled on how many books they read the previous year. Initial survey results indicate that s = 16.1 books. Complete parts (a) through (d) below. Click the icon to view a partial table of critical values. (a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95% confidence? This 95% confidence level requires 28 subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence? This 95% confidence level requires subjects. (Round up to the nearest subject.)6(5)