The founder of an application would like to understand how the demand of users varies with advertising spending. during the last 6 weeks, she collects the following user and advertising statistics week # users costs 1 452 2 523 4 3 487 7 576 5 687 6 475 2 the manager considers the following regression model: i. i.d n(0, a2) y bob1xi + ui, i= 1, with uj|x (1) where y: "number of active users in week i " and x; : "advertising spending in week i in 1000]". 6. write down the null and the alternative hypothesis for a two-sided test of 1 10 7. write down the (conditional) distribution of the estimator under the null hypothesis. 8. write down the distribution of the test statistic under the null hypoth- esis se bo the standard errors of the ols estimators are = 103.9194 and se[3] 21.59 9. compute the p-value. what do you conclude? 10. compute the 90% confidence interval for b1. does advertising spending have a significant effect on the number of active users of this app?

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184

your answer is c. y = [x] + 1