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The 95% Confidence Interval for the Predicted Effect of a General

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The 95% confidence interval for the predicted effect of a general change in X is a. (β1Δx−1.96SE⁡(β1)×Δx,β1Δx+1.96SE⁡(β1)×Δx)\quad \left( \beta _ { 1 } \Delta x - 1.96 \operatorname { SE } \left( \beta _ { 1 } \right) \times \Delta x , \beta _ { 1 } \Delta x + 1.96 \operatorname { SE } \left( \beta _ { 1 } \right) \times \Delta x \right)
b. (β^1Δx−1.645SE⁡(β^1)×Δx,β^1Δx+1.645SE⁡(β^1)×Δx)\left( \widehat { \beta } _ { 1 } \Delta x - 1.645 \operatorname { SE } \left( \hat { \beta } _ { 1 } \right) \times \Delta x , \widehat { \beta } _ { 1 } \Delta x + 1.645 \operatorname { SE } \left( \hat { \beta } _ { 1 } \right) \times \Delta x \right)
c. (β^1Δx−1.96SE⁡(β^1)×Δx,β^1Δx+1.96SE⁡(β^1)×Δx)\left( \hat { \beta } _ { 1 } \Delta x - 1.96 \operatorname { SE } \left( \hat { \beta } _ { 1 } \right) \times \Delta x , \widehat { \beta } _ { 1 } \Delta x + 1.96 \operatorname { SE } \left( \hat { \beta } _ { 1 } \right) \times \Delta x \right)
d. (β^1Δx−1.96,β^1Δx+1.96)\left( \widehat { \beta } _ { 1 } \Delta x - 1.96 , \widehat { \beta } _ { 1 } \Delta x + 1.96 \right)

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