Given the following details about a multiple regression model based on a sample of 45 observations: bo = 17, b = 4, b2 = -3, b3 = 8, sum of squares due to error =385.5,and sum of squares due to regression = 780.2 Find the mean square due to regression (MSR): Select one: a. 291.43 Ob. 195.05 c. 388.57 d. 260.07
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- **Answer the questions with the data on picture, please. a) Determine the sample correlation coefficient rxy b) Determine the sample regression equation: y= b0+b1x c) Compute the coefficient of determination. d) What is the predicted explanatory value if the response value is 8?Suppose the correlation coefficient r = 0.09 for a data set Find: a. The coefficient of determination r (round to 3 decimal places) b. The percentage of explained variation = % (round to 1 decimal place) c. The percentage of unexplained variation = % (round to 1 decimal place)Please answer ASAP, thank you !
- You were given a dataset that includes 100 datapoints for expenses in Canadian dollars and waste in kilo grams. Based on the data you were able to calculate the following: The variance of the expenses = 78515151.52 The variance of the waste amount 14602.38, The R squared = 0.372460641, Intercept = cS 34046.3765, Total waste amount = 54420 kg ion Then the slope of the regression line is (approximately) O a 44,75124 O b. 54.420 Oc 5840 Od. 34.04637A regression model to predict Y, the state burglary rate per 100,000 people, used the following four state predictors: X1 = median age, X2 = number of bankruptcies per 1,000 population, X3 = federal expenditures per capita (a leading predictor), and X4 = high school graduation percentage. Click here for the Excel Data File (a) Using the sample size of 45 people, calculate the tcalc and p-value in the table given below. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p- values to 4 decimal places.) Predictor Intercept AgeMed Coefficient SE tcalc p-value 4,641.0430 798.0634 -28.8630 12.4684 Bankrupt 20.1604 12.1079 FedSpend HSGrad% -0.0181 0.0181 -30.3196 7.1136 (b-1) What is the critical value of Student's tin Appendix D for a two-tailed test at a = .01? (Round your answer to 3 decimal places.) -value =A simple regression model developed for ten pairs of data resulted in a sum of squares of error, SSE = 125. The standard error of the estimate is 12.5 3.5 25 15.6 O 3.95
- The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Income Education Job Age Income 1.000 Education 0.677 1.000 Job 0.173 −0.181 1.000 Age 0.369 0.073 0.689 1.000 Which is the dependent variable? Multiple Choice Income Age Education JobSee the attached image for the introduction. Question: Fill in a blank ANOVA table.A researcher is curious about the association between the association between the number of hours that a student slept the night before the exam and exam score. The appropriate statistical test would be an: a. regression b. independent-samples t-test c. Pearson Correlaation Coefficient d. z test
- Consider the following data: x¯ = 20, sx = 2, y¯ = −5, sy = 4, and b1 = 0.40. Which of the following is the sample regression equation?The station manager of a local television station is interested in predicting the amount of television (in hours) that a person in the viewing area will watch. The explanatory variables are age (in years), education (highest level obtained, in years) and family size (number of people in household). The multiple regression output is shown below: Summary measures Multiple R R-Square Adj R-Square 0.6644 StErr of Estimate 0.5598 ANOVA Table Source df SS MS F p-value Explained 3 13.9682 4.6561 0.0000 Unexplained 18 5.6413 0.3134 Regression coefficients Coefficient Std Err t-value p-value Constant 1.683 1.1696 1.4389 0.1674 Age -0.0498 0.0199 -2.5018 0.0222 Education 0.2135 0.0503…Fifty matched pairs of magnitude/depth measurements randomly selected from 10,594 earthquakes recorded in one year from a location in southern California. Find the best predicted depth of an earthquake with a magnitude of 2.2. Use a significance level of 0.05. : Click the icon to view the earthquake measurements. Click here to view the critical values of the Pearson correlation coefficient, r. The regression equation is y = ? + ?x. 回-ト i Critical Values of the Pearson Correlation Coefficient r (Round to one decimal place as needed.) Critical Values of the Pearson Correlation Coefficient r α= 0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 a = 0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 NOTE: To test Ho: p=0 Jagainst H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. 5 10 11 12