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a. The R2 of a multiple regression of y on x1 and x2 measures the ________.
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percentage of the variation in y that is explained by the variability of x2
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percentage of the variation in y that is explained by the variability of x1
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statistical significance of the coefficients in the sample regression equation
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percentage of the variation in y that is explained by the sample regression equation
b. The sample
True or False?
c. Costco sells paperback books in their retail stores and wants to examine the relationship between the prices and sales. The price of a particular novel was adjusted each week and the weekly sales are in the following table. Management would like to use a simple linear regression model that uses prices to predict sales.
Sales | Price | ||
7 | $ | 12 | |
4 | $ | 11 | |
5 | $ | 10 | |
9 | $ | 9 | |
8 | $ | 8 | |
8 | $ | 7 | |
7 | $ | 7 | |
The regression sum of squares for this sample is equal to ________.
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6.25
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4.17
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5.16
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4.61
d. The coefficients of each explanatory variable in a multiple linear regression model have the same interpretation as the coefficient of the explanatory variable in a simple linear regression model.
True or False?
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- Conduct your answers in excel.arrow_forwardI need help with this problem please help mearrow_forwardThe percentage of the variation in the value of y this is explained by the lease squares regression line is Group of answer choices ρ the slope of the regression line. the correlation coefficient. the coefficient of determination. the y-intercept of the regression line. The data below shows the summary statistics for a regression analysis on car weight (in metric tons) and fuel consumption (in miles per gallon). b0=48.8b0=48.8 b1=−8.37b1=−8.37 r2=0.36r2=0.36 (Note that 0.362=0.13 and 0.36−−−−√=0.6)(Note that 0.362=0.13 and 0.36=0.6) Choose the correct interpretation of the y-intercept of the line:arrow_forward
- help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all workingarrow_forwardtot Consider the scatterplot given above. Which of the following could be the value of r? O A. 0.913 О В. -0.124 O C. -0.906 O D. 0.725 Given that the regression line has a slope of 0.345 and a y-intercept of - 0.296, find the slope-intercept equation of the regression line. y =| Use the regression line to predict the y-value for the x-value of - 0.627. (Round to three decimal places). y =arrow_forwardPls help I need in 1 hour thankyouarrow_forward
- derwinarrow_forwardTwo variables are defined, a regression equation is given, and one data point is given. Study = number of hours spent studying for an exam Grade = grade on the exam GRADE= 41.0 + 3.7 (STUDY) THE DATA POINT IS A STUDENT WHO STUDIED 10 HOURS AND RECIEVED AN 81 ON THE EXAM…arrow_forwardGrades on Midterm Grades on Final79 8464 7676 8385 9170 7586 7960 7975 8781 8263 63 The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x . Round the slope and y-intercept to the nearest thousandth.arrow_forward
- Below table contains a data sample where X is the independent, and Y the dependent variable. Using the data, please conduct a regression analysis. Determine first the regression equation with the help of below graph and table, then answer all the questions. 1. The value of cell a is 2. The value of cell b is 3: The value of cell c is 4: The value of cell d is 5: The value of cell e is 6: The value of cell f is 7: The value of cell g is 8. The value of cell h is 9: The value of cell i is 10: The value of cell j is 11: The value of cell k is 12: The value of cell l is 13: The value of cell m is 14: The value of cell n is 15: The value of cell o is 16: The value of cell p is 17: The value of cell q is 18: The value of cell r is 19: The value of cell s is 20: The value of cell t is 21: The value of cell u is 22: The value of cell v is 23: The value of cell w is 24: The value of cell x is 25: The value of cell y is 26: The value of cell z is 27: The value of cell aa is 28: The value of cell…arrow_forwardIn bivariate regression, the value of Y when X equals 0 is: Group of answer choices Intercept (b0) Residual Slope (b1)arrow_forward
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