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alaf05160
25.01.2021 •
Mathematics
Which expression is equivalent to 14j - 7j+9+ 4k +6
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Ответ:
ŷ = 0.09118X - 0.35873 ; 91.67%
Step-by-step explanation:
Given the following :
Test score (x) :
88
75
76
92
96
94
83
90
99
65
77
88
82
83
94
97
Average sleep (Hr) (y) :
7
6.5
6
7.5
8
7
6.5
8
8.5
5
7
9
8
8.5
8.5
9
Using the online linear regression calculator :
The linear model obtained is :
ŷ = 0.09118X - 0.35873
Comparing the output with the linear model function:
ŷ = mx + c
ŷ = dependent / predicted variable
m = gradient or slope = 0.09118
X = Independent variable
c = intercept(point where the line of best fit intersects the y - axis) = 0.35873
B) approximate test score of a student who sleeps an average of 8 hours a night
Here, ŷ = dependent variable = 8hrs
ŷ = 0.09118X - 0.35873
8 = 0.09118X - 0.35873
0.09118X = 8 + 0.35873
X = 8.35873 / 0.09118
X = 91.672844
Approximate test score = 91.67% = 92%