Opinions are split about a coffee​ company's pumpkin-flavored coffee​ (PFC). Yet every year over the last five years the consumption of​ pumpkin-flavored goods has increased. If we look at the​ numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a​ magazine, the amount spent by PFC buyers at the coffee company is about​ 17% higher than​ non-PFC buyers. The accompanying table shows a random sample of eight​ consumers, the amount they spend per​ week, y, and the number of PFCs​ purchased, x, per week. PFC Spending     1 13.17     8 38.65     3 19.49     2 9.56     4 15.85     1 21.82     5 37.53     3 13.69 α=​0.05 t= 3.07 p-value= 0.022

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Opinions are split about a coffee​ company's pumpkin-flavored coffee​ (PFC). Yet every year over the last five years the consumption of​ pumpkin-flavored goods has increased. If we look at the​ numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a​ magazine, the amount spent by PFC buyers at the coffee company is about​ 17% higher than​ non-PFC buyers. The accompanying table shows a random sample of eight​ consumers, the amount they spend per​ week, y, and the number of PFCs​ purchased, x, per week.

PFC
Spending
 
 
1
13.17
 
 
8
38.65
 
 
3
19.49
 
 
2
9.56
 
 
4
15.85
 
 
1
21.82
 
 
5
37.53
 
 
3
13.69

α=​0.05

t= 3.07

p-value= 0.022

 

Construct a​ 95% confidence interval for the population slope.
 
UCL
=
6.69
LCL
=
0.75

 

What conclusions about PFC purchases and spending can be drawn from these​ results?
 
We are​ 95% confident that the true regression slope is between ________ and ___________. As this interval does include/does not include ​zero, we have evidence/do not have evidence to conclude that there is a linear relationship between spending and the number of PSL.
(Round to two decimal places as​ needed.)
 
Choose one: does include/does not include ​zero
Choose one: have evidence/do not have evidence
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