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d1i1m1o1n [39]
3 years ago
7

If the correlation coefficient in an ordinary least squares regression = 1.00, then A. all the data points must fall exactly on

a straight line with a positive slope. B. all the data points must fall exactly on a straight line with a slope that equals 1.00. C. all the data points must fall exactly on a horizontal straight line with a zero slope. D. all the data points must fall exactly on a straight line with a negative slope.
Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer: Option A is correct.

Step-by-step explanation:

  • The correlation coefficient(r) is a statistical measure that computes the strength of the relationship between two variables.

It lies between -1 and 1.

If the correlation coefficient in an ordinary least squares regression = 1.00.

That indicates that there is a perfect relationship between the variables.

i.e. all the data points must fall exactly on a straight line with a positive slope. .

[when r is positive, the slope of the line is positive].

i.e. option A is correct.

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In 2000, Canada produced 3.0 million new motor vehicles. In 2006, it produced 2.5 million. Write the linear equation (in slope-i
kogti [31]
To begin, you are given two point that this function would intercept: (0,3) where the 0 is the original year (2000) and 3 is the amount of million cars sold. The next point would be (6,2.5) Where the 6 is the 6 years later and the 2.5 is the 2.5 million cars sold. Since we have 2 points, we can work out the gradient by finding the rate of change in y and dividing by the rate of change in x:
\frac{y_{1}- y_{2}  }{x_{1}- x_{2} }

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x_{1} =3
y_{1} =0
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\frac{3-2.5}{0-6}
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Hope this helps :)




5 0
3 years ago
A police officer records the speeds of vehicles on a road. What percent of the vehicles were traveling between 41 and 45 miles p
olya-2409 [2.1K]

Answer:

28%

Step-by-step explanation:

Here is the missing table from the question:

Speed (mph) Number of Vehicles

36-40                2

41-45               14

46-50               18

51-55               12

56-60                4

Given: A police officer records the speeds of vehicles on a road.

Now, finding the percent of vehicles traveling between 41 and 45 miles per hour.

First, calculating the total number of vehicles.

Total vehicles= 2+14+18+12+4= 50

Vehicles travelling at speed of 41-45 mph= 14

Formula;  percent of vehicles traveling between 41 and 45 mph= \frac{vehicles\ travelling\ 41-45\ mph}{Total\ number\ of\ vehicles} \times 100

⇒ Percent of vehicles traveling between 41-45 mph= \frac{14}{50} \times 100= 14\times 2

∴ Percent of vehicles traveling between 41-45 mph is 28%

4 0
3 years ago
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