Answer:
ŷ = 0.1286X - 123.2175 ;
r = 0.947
r² = 0.896
Step-by-step explanation:
Given the data:
Traffic Flow, X : ____Vehicke speed ;Y()
1257 ______________36
1329 ______________45
1227 ______________30
1336 ______________50
1349 ______________55
1124 ______________ 25
The estimated regression equation using a linear regression calculator based on the data given above is given thus:
ŷ = 0.1286X - 123.2175
Where ;
y = dependent variable (vehicle speed)
x = predictor variable (traffic flow)
Slope = 0.1286
Intercept = 123.2175
The correlation Coefficient, R, obtained using the correlation Coefficient calculator is 0.9465, This depicts a very strong positive relationship between traffic flow and vehicle speed.
The Coefficient of determination, R² which is the squared value of the correlation Coefficient = 0.9465² = 0.8958 gives the proportion of explained variance ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.
Step-by-step explanation:
<u>Step 1: Find the price for buying 4 individual chairs</u>
<u>Step 2: Find the percent savings</u>
28%
Answer: 28%
Step by step:
6 - 2(x + 6) = 3x + 4
6 - 2x -12 = 3x + 4
6 - 12 = 5x + 4
-6 = 5x + 4
-10 = 5x
-2 = x
So, x = -2
Answer:
(3, -3)
Step-by-step explanation:
A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.
Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:
9 is bigger than 3, so (3, -3) is a solution to that inequality.
Let's try . Do the same, substituting the same values:
6 is bigger than 4, so (3, -3) is a solution to that inequality too.
Since (3, -3) is a solution to both inequalities, it must be the answer.