- A data point (observation) that does not fit the trend shown by the remaining data is called a(n) _____. Outlier
- A procedure used for finding the equation of a straight line that provides the best approximation for the relationship between the independent and dependent variables is the least squares method
- A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation:ŷ = 9 − 3xThe above equation implies that if the price is increased by $1, the demand is expected to decrease by 3,000 units
- A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
n = 10
Σx = 55
Σy = 55
Σx2 = 385
Σy2 = 385
Σxy = 220
Refer to Exhibit 14-1. The least squares estimate of b1 equals __ -1 - A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
n = 10
Σx = 55
Σy = 55
Σx2 = 385
Σy2 = 385
Σxy = 220
Refer to Exhibit 14-1. The coefficient of determination equals _____. 1 - An observation that has a strong effect on the regression results is called a(n) _ influential observation.
- Data points having high leverage are often ___ influential
- If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the estimated regression equation __ is 16%
- In a regression analysis, if SSE = 200 and SSR = 300, then the coefficient of determination is ___ 600
- In a regression analysis, the variable that is used to predict the dependent variable ___ is the independent variable
- In regression analysis, the independent variable is typically plotted on the _____. x-axis of a scatter diagram
- In regression and correlation analysis, if SSE and SST are known, then with this information the _ coefficient of determination can be computed
- In simple linear regression, r2 is the __ coefficient of determination
- It is possible for the coefficient of determination to be _ less than 1
- Regression analysis is a statistical procedure for developing a mathematical equation that describes how ___ one dependent and one or more independent variables are related
- Regression analysis was applied between sales (in $1000s) and advertising (in $100s), and the following regression function was obtained.ŷ = 500 + 4xBased on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is $900,000
- Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained.
ŷ = 12 + 1.8x
n = 17
SSR = 225
SSE = 75
Sb1 = 0.2683
Refer to Exhibit 14-3. Based on the above estimated regression equation, if advertising is $3,000, then the point estimate for sales (in dollars) is _____. $66,000 - Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained.
ŷ = 12 + 1.8x
n = 17
SSR = 225
SSE = 75
Sb1 = 0.2683
Refer to Exhibit 14-3. The t statistic for testing the significance of the slope is _____ 6.709 - Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained.
ŷ = 12 + 1.8x
n = 17
SSR = 225
SSE = 75
Sb1 = 0.2683
Refer to Exhibit 14-3. Using α = .05, the critical t value for testing the significance of the slope is __ 2.131 - The difference between the observed value of the dependent variable and the value predicted by using the estimated regression equation is called _____. Residual
- The equation that describes how the dependent variable (y) is related to the independent variable (x) is called ____ The regression model
- The following information regarding a dependent variable (y) and an independent variable (x) is provided.
x y
2 4
1 3
4 4
3 6
5 8
SSE = 6
SST = 16
Refer to Exhibit 14-4. The coefficient of determination is .625 - The following information regarding a dependent variable (y) and an independent variable (x) is provided.
x y
2 4
1 3
4 4
3 6
5 8
SSE = 6
SST = 16
Refer to Exhibit 14-4. The MSE is _____. 2 - The least squares criterion is _____ min Σ(yi – ŷi)2
- The numerical value of the coefficient of determination can be larger or smaller than the coefficient of correlation
- The primary tool or measure for determining whether the assumed regression model is appropriate is _____ residual analysis
- The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the _____. Coefficient of determination
- The standardized residual is provided by dividing each residual by its standard deviation
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