Answer:
ŷ = 195.698X - 6169.941 ;
R² = 0.9224 ; About 92% variation in the value of Charitable contribution can be explained by the best fit line.
Step-by-step explanation:
The excel data:
AGI: (X) :
55
58
63
67
74
78
83
88
92
98
105
Charitable contribution Y:
4200
4800
6329
8017
7400
8600
12290
10406
11820
12090
14675
The scatter plot can b found in the picture attached below.
The estimated regression equation obtained is :
ŷ = 195.698X - 6169.941
Where ;
slope of the regression line = 195.698 ;
Intercept = - 6169.941
The R² value is called the Coefficient of determination which gives the proportion of variation due to the best fit line. Using the Coefficient determination calculator ; R² = 0.9224
About 92% variation in the value of Charitable contribution can be explained by the best fit line.
Answer: (13.4996, 32.5004)
Step-by-step explanation:
The confidence interval for mean difference is given by :-
,
where = sample mean difference .
= critical t value (two-tailed)
SE= Standard error.
Given :
SE= 4.2
Now, the confidence interval for mean difference will be :-
Hence, the required confidence interval : (13.4996, 32.5004)
Answer:
Nethan made 8 rose bouquets and 6 daffodil bouquets.
Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total.
Let x represents the number of more rose bouquets.
Let y represents the number of more daffodil bouquets.
The maximum bouquets that can be made = 20
And the number of bouquets made are = 14
So, additional bouquets are =
In equation form we can show like :
or
or
Putting values of x as 0,2,4 and 6 we get:
When x = 0 then y = 6
When x = 2 then y = 4
When x = 4 then y = 2
When x = 6 then y = 0
You can see the graph attached.
