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Katena32 [7]
3 years ago
10

if the coefficient of determination for a data set containing 9 points is 1, how many of the data points must lie on the regress

ion line for the data set.
Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer: 9 points

Step-by-step explanation:

The coefficient of determination is a number between 0 and 1 used to measure the level of precision with which the regression model  created fits the data. A measure of R ^ 2 = 1   means that the model explains the entire variation between the two variables without error.

Therefore, in this case if R ^ 2 =1 means that the 9 points are on the line

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6. Leo earns $16/h as a gardener in a city
Katen [24]

a) He will earn $584 for working 36 hours.

b) He will earn $656 for working 39 hours.

c) He will earn $728 for working 42 hours.

Step-by-step explanation:

Amount per hour = $16

Time and a half means 1.5 times more than the original payment.

Therefore, above 35 hours, the earning for one hour,

Extra time per hour = 16*1.5 = $24

A) 36 h

For the first 35 hours, he will get $16 per hour, therefore,

Amount of 35 hours = 35*16= \$560

Amount of one hour = $24 (as calculated above)

Total = 560+24 = $584

He will earn $584 for working 36 hours.

B) 39 h

39 h = 35h + 4h

Amount of 35 hours = $560

Amount of extra 4 hours = $24*4 = $96

Total = 560+72 = $656

He will earn $656 for working 39 hours.

C) 42 h

42 h = 35h + 7h

Amount of 35 hours = $560

Amount of extra 7 hours = 24*7 = $168

Total = 560+168 = $728

He will earn $728 for working 42 hours.

Keywords: addition, multiplication

Learn more about addition at:

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7 0
4 years ago
Write the equation of the line that passes through the points (3,5)(3,5) and (6,7)(6,7). Put your answer in fully simplified poi
nika2105 [10]

The equation of the line will be y = ( 2 / 3 ) x + 3.

<h3>What is an equation of the line?</h3>

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that the equation of the line that passes through the points (3,5) and (6,7).

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

First, calculate the slope of the line:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 7 - 5 ) / ( 6 - 3 )

Slope = ( 2 / 3 )

The y-intercept will be calculated as follows:-

y = mx + c

5 = ( 2 / 3 ) x 3 + c

5 = 2 + c

c = 3

The equation of the line will be calculated as;-

y = mx + c

y = ( 2 / 3)x + 3

Therefore, the equation of the line will be y = ( 2 / 3 ) x + 3.

To know more about an equation of the line follow

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7 0
2 years ago
n the figures, ΔCDA ≅ ΔXYZ . Name the congruent angles. ∠C ≅∠Y, ∠D ≅∠X, ∠A ≅∠Z ∠C ≅ ∠Z, ∠D ≅∠Y, ∠A ≅∠X ∠C ≅ ∠X, ∠D ≅∠Y, ∠A ≅∠Z ∠
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When writing the congruent triangles, the otder of the letters is EXTREMELY important.
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Now, we are given that triangle CDA is congruent to triangle XYZ.
Based on the above explanation, we can conclude that:
angle C is congruent to angle X
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Answer:

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