The data describe promotional spending by a pharmaceutical company. The share is the market share of their product in a certain region. The detail voice is the ratio of promotional visits to doctor's offices for their product to the total number of visits for similar drugs. The sample voice is the share of samples in the market that are from this company. Formulate the multiple regression model with y given by the market share and x given by the detail voice and sample voice.
Share Detail (x1) Sample (x2)
0.206 0.103 0.618
0.226 0.098 0.685
0.219 0.108 0.62
0.224 0.108 0.893
0.211 0.101 0.428
0.212 0.03 0.231
0.22 0.082 0.572
0.21 0.085 0.426
0.221 0.103 0.632
0.213 0.085 0.511
0.216 0.081 0.459
0.205 0.103 0.468
0.216 0.092 0.35
0.215 0.07 0.268
0.217 0.106 0.5
0.214 0.111 0.411
0.215 0.097 0.556
0.208 0.066 0.309
0.222 0.115 0.662
0.221 0.135 0.626
At a fixed level of sampling, do periods with increased detailing show significantly larger market share? Use α=0.05 and explain using p-value and the t-statistic.
What are the null and alternative hypotheses?
H0=
a) \beta _{1}= 0
b)1 0
c)1 0
HA=
a) 31关0 丰
b) B1 > 0
c) 61 <0
Find the t-statistic. (Round to two decimal places asneeded.)
t= __
Find the p-value.
p= ___