Which of these statements best gives a 95% confidence interval for the slope of

Question

Which of these statements best gives a 95% confidence interval for the slope of the regression line and its interpretation? 0.97 ± 2.064(4 418) You are 95% confident dioxide is somewhere between -S. 1 and 10.1 mpem per unit increase in the mean concentration of sulfur dioxide. that the change from city to city in the mean concentration of nitrogen 0.97 ± 2.064(4.825) You are 95% confident that the change from city to city in the mean concentration of nitrogen dioxide is somewhere between 9.0 and 10 9 mpem per unit increase in the mean concentration of sulfur dioxide 0 : 0.97 ± 2.064(021 96). If a city has mean sulfur dioxide concentration one unit higher than another city, you are 95% 0 0 97 ± 2064(4.825) You are 95% confident that the average predicted nitrogen dioxide reading is . confident that the mean nitrogen dioxide concentration will be between 0.5 and 14 mpem higher, on average, for the city with the higher sulfur dioxide concentration somewhere between 90 and 109 mpem. 0.97 2.064(0.2196) You are 9546 confident that the average predicted nitrogen dioxide reading is somewhere between 0 3 and 1 4 mpen

Explanation / Answer

95% confidence interval for slope represents the amount of change in dependent variable for a unit change in independent variable.

Lower limit = 0.97 - 2.064(4.418) = -8.1

Upper limit = 0.97 + 2.064(4.418) = 10.1

Hence,

Option A is correct.

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