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Mathematics 16 Online
OpenStudy (anonymous):

Medal rewarded!!!!!!!!! when reading the computer output, the regression equation is typically buried among other statistics. The value of the slope is the coefficient of the explanatory variable. The value of the intercept is coeff. of the constant. For the problem, the regression equation is: number of aircraft = 2939.93 + 233.517 * (years since 1990) how do I find the predicted number and the actual number of aircrafts flying in 1922?

OpenStudy (anonymous):

@agent0smith

OpenStudy (anonymous):

@Hasan-Koush

OpenStudy (agent0smith):

(years since 1990) replace that with 1990-1922, since that's the years before 1990.

OpenStudy (anonymous):

would that be the actual number?

OpenStudy (agent0smith):

use this to calculate the prediction 2939.93 + 233.517 * (years since 1990)

OpenStudy (anonymous):

ok how do I find the actual though?

OpenStudy (agent0smith):

Plug in whatever 1990-1922 is in that equation.

OpenStudy (anonymous):

would it be 3406.964

OpenStudy (agent0smith):

2939.93 + 233.517 *(-68) which is a negative number and doesn't make sense... so idk if the original equation is written wrongly or just isn't valid for 1922.

OpenStudy (agent0smith):

number of aircraft = 2939.93 + 233.517 * (years since 1990) since we're predicting for 1922... this seems like a bad equation to use, given it's for 1990 and on...

OpenStudy (anonymous):

would it be 2939.93+233.517*2?

OpenStudy (agent0smith):

but you said 1922...

OpenStudy (anonymous):

yeah...years since 1990...1992 would be 2 years since 1990

OpenStudy (agent0smith):

You said 1922 :P 1992 makes more sense.

OpenStudy (anonymous):

so the equation would be 2939.93 + 233.517* what?

OpenStudy (agent0smith):

Yours was right... notice that you originally wrote 1922. Then you said 1992. 1922 is 68 years before 1990. 1992 is 2 years after :P 2939.93+233.517*2 is correct.

OpenStudy (anonymous):

oh my bad sorry I meant 1992

OpenStudy (anonymous):

so the predicted number would be 3406.964?

OpenStudy (anonymous):

@agent0smith

OpenStudy (agent0smith):

Looks about right.

OpenStudy (anonymous):

how would I find the actual number now?

OpenStudy (agent0smith):

THe actual... i have no clue. Why would you need it"? No equation can give that... you'd have to look it up

OpenStudy (anonymous):

would it be on a graph if there was one in the equations?

OpenStudy (agent0smith):

Yes, it'd be a point on the original graph, that was used to get the regression line

OpenStudy (anonymous):

ok thank you

OpenStudy (agent0smith):

no prob :)

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