Due in 4 hours, 42 minutes. Due Mon 12/11/2017 11:59 pmm A particular professor

Question

Due in 4 hours, 42 minutes. Due Mon 12/11/2017 11:59 pmm A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: People (P) 11 10 9 9 7 6 5 5 Cups of coffee ()1 1 2 3 3 4 4 5 Unless otherwise stated, you can round values to two decimal places. a)Using regression to find a linear equation for Pen) P(n)- b) Interpret the meaning of the slope of your formula in the context of the problem Preview c) Interpret the meaning of the P interoept in the coniext of the problem d) Use your model to predict the number of people that will complain about his attitude if he drinks 9 cups of coffee e) Is the answer to part freasonable? Why or why not? MacBook Air FVO FN #7 FS FS

Explanation / Answer

Folloiwng is the output of regression analysis:

a)

The regression equation is

P(n) =12.05 -1.50x

b)

If number of coffee in increased by one, then number of people decreased by 1.50.

c)

It shows when number of coffee is zero then numebr of people is 12.05.

d)

The required predicted number of people is

P(n) =12.05 -1.50 *9 = -1.45

e)

No because number of people cannot be negative.

SUMMARY OUTPUT Regression Statistics Multiple R 0.942075901 R Square 0.887507003 Adjusted R Square 0.86875817 Standard Error 0.838499393 Observations 8 ANOVA df SS MS F Significance F Regression 1 33.28151261 33.28151261 47.33665339 0.000465004 Residual 6 4.218487395 0.703081232 Total 7 37.5 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 12.05042017 0.69178602 17.41928836 2.29506E-06 10.35768076 13.74315958 n -1.495798319 0.217407372 -6.880163762 0.000465004 -2.027774992 -0.963821646

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