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The Data Listed Below Is the Average Personal Income and Personal

question 17

Essay

The data listed below is the average personal income and personal consumption expenditures based on the survey
conducted in the year 1995 to 2009 in U.S.  Personal income  Personal consumption ($) expenditures ($$)23,31018,71424,44419,56925,65720,41427,26021,43428,33622,73830,31724,22731,16225,07431,44825,86532,28226,84833,87228,22835,42329,81837,72331,21039,41832,55140,15633,27339,11332,853\begin{array}{l}\begin{array} { | c | c | } \hline \text { Personal income } & \text { Personal consumption }\\\mathbf { ( \$ ) } & \text { expenditures } ( \$ \mathbf { \$ } ) \\\hline 23,310 & 18,714 \\\hline 24,444 & 19,569 \\\hline 25,657 & 20,414 \\\hline 27,260 & 21,434 \\\hline 28,336 & 22,738 \\\hline 30,317 & 24,227 \\\hline 31,162 & 25,074 \\\hline 31,448 & 25,865 \\\hline 32,282 & 26,848 \\\hline 33,872 & 28,228 \\\hline 35,423 & 29,818 \\\hline 37,723 & 31,210 \\\hline 39,418 & 32,551 \\\hline 40,156 & 33,273 \\\hline 39,113 & 32,853 \\\hline\end{array}\end{array}
a. What is the 95 percent confidence interval for the regression parameter β1? Based on this interval, what
conclusion can you make about the hypotheses that the regression parameter β1 is equal to zero?
d. What is the 95 percent confidence interval for the regression parameter β0? Based on this interval, what
conclusion can you make about the hypotheses that the regression parameter β0 is equal to zero?


Definitions:

Distraction/Conflict Theory

A theory suggesting that the presence of conflicting stimuli or distractions can impair cognitive performance and decision-making processes.

Attentional Conflict

A cognitive process where an individual experiences difficulty in focusing on relevant stimuli due to competing irrelevant stimuli.

Collectivist

Describing cultures or individuals who prioritize group goals and interdependence over personal goals and independence.

Individualist

A person who prioritizes personal goals over group goals, emphasizing independence and self-reliance.

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