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marysya [2.9K]
3 years ago
11

Someone please help

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0
The top answer is correct.
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Which equation of the least squares regression line most closely matches the data set?
Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x             0                  2                4               6                8

y             45                51               57            61               75

Let the equation that shows the above data,

y = b + a x ---------(1)

\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}

\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}

By the above table,

\sum x = 20

\sum xy = 1296

\sum x^2 = 120

\sum y = 289

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

4 0
4 years ago
Read 2 more answers
I need help....Does anybody know the answer?
Alex_Xolod [135]

Answer:

4/5

Step-by-step explanation:

8/15 = 8/15

3/5 = 9/15

2/3 = 10/15

11/15 = 11/15

We see that the pattern is that the terms increase by 1/15 as they move up.

Thus, the next term in the sequence is 12/15, which can be simplified to 4/5.

Let me know if this helps!

3 0
3 years ago
You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for
GREYUIT [131]
Its $800 because to find interest u can use the formula I=PRT p is principal which is 500 times r which is rate-15/100(=15%) times 4

so the interest is 500×15/100×4=300
then u add 300 to 500 because the interest adds more money to the loan
4 0
3 years ago
In the inequality below, let x represent the number of muffins a bakery makes
Aleks04 [339]

Answer:

umm can u explain more plz

Step-by-step explanation:

7 0
3 years ago
Determine the given point is a solution to the equation. Show all work.<br> 1) 3x-7y=4; (1,-1)
marusya05 [52]

Answer:

  NOT a solution

Step-by-step explanation:

Substitute the values of x and y and see if the equation is satisfied:

  3(1) -7(-1) = 3 +7 = 10 ≠ 4 . . . . . . the given point is not on the line

(1, -1) is not a solution to the equation.

_____

(-1, 1) is a solution

6 0
4 years ago
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