An economist estimates the following model: y = β0 + β1x + ε.She would like to construct interval estimates for y when x equals 2.She estimates a modified model where y is the response variable and the explanatory variable is now defined as x* = x - 2.A portion of the regression results is shown in the accompanying table. ![An economist estimates the following model: y = β<sub>0</sub> + β<sub>1</sub>x + ε.She would like to construct interval estimates for y when x equals 2.She estimates a modified model where y is the response variable and the explanatory variable is now defined as x<sup>*</sup> = x - 2.A portion of the regression results is shown in the accompanying table. According to the modified model,which of the following is a 95% prediction interval for y when x equals 2? (Note that t<sub>0,025,10</sub> = 2.228. ) A) [0.41,4.63] B) [14.21,35.35] C) [18.63,30.93] D) [20.35,25.65]](https://d2lvgg3v3hfg70.cloudfront.net/TB4266/11eab0ce_30a9_d744_a083_c53093816ed8_TB4266_00.jpg)
![An economist estimates the following model: y = β<sub>0</sub> + β<sub>1</sub>x + ε.She would like to construct interval estimates for y when x equals 2.She estimates a modified model where y is the response variable and the explanatory variable is now defined as x<sup>*</sup> = x - 2.A portion of the regression results is shown in the accompanying table. According to the modified model,which of the following is a 95% prediction interval for y when x equals 2? (Note that t<sub>0,025,10</sub> = 2.228. ) A) [0.41,4.63] B) [14.21,35.35] C) [18.63,30.93] D) [20.35,25.65]](https://d2lvgg3v3hfg70.cloudfront.net/TB4266/11eab0ce_30a9_fe55_a083_171d67000039_TB4266_00.jpg)
According to the modified model,which of the following is a 95% prediction interval for y when x equals 2? (Note that t0,025,10 = 2.228. )
Definitions:
Great Depression
A severe worldwide economic depression that took place mostly during the 1930s, beginning in the United States and affecting many countries.
Universal Intelligence Test
A hypothetical or proposed assessment designed to measure intelligence across diverse cultures and populations without bias.
Limited English
Refers to individuals who have a limited ability to read, speak, write, or understand English, often impacting their ability to effectively communicate.
Cognitive Impairment
A reduction in cognitive abilities, including memory, decision-making, and attention, that affects daily functioning.
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