50 POINTS .....................

Mathematics

1 answer:

Alenkinab [10]2 years ago

4 0

The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

$\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}$

$\rm c = \dfrac{\sum y -m \sum x}{n}$

We have data shown in the picture.

Let's suppose the regression line is:

y = mx + c

Where m is the slope of the regression line and c is the y-intercept of the line.

We can calculate the value of m and c by using the formula.

After calculating, we get:

m = 0.4925

c = -22.26

Mus. Apt. = 0.49253(IQ score) - 22.26

Mus. Apt. = -22.26 + 0.4925(IQ score)

Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

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Can I please have help with numbers 28 and 30 and can you check if I got number 29 correct? THANK YOU

sweet [91]

28 is B
30 is C and
29 is correct as it is!
Hope this helps.

6 0

3 years ago

Mary plants roseas in 1/4 of her garden. She also plants some tulips in her garden. She has 1/12 of the garden left to plant mor

zysi [14]

Answer:the fraction of Mary's garden that has tulips is 2/3

Step-by-step explanation:

Let x represent the full area if Mary's garden.

Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4

She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12

The portion of the garden on which she planted tulips would be

x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12

x - x/3 = (3x - x)/3 = 2x/3

Therefore, the fraction of Mary's garden that has tulips would be

(2x/3) /x = 2/3

7 0

3 years ago

Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

Lostsunrise [7]

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.

Let's try this with option C. To make things easier, convert -4.5 into decimal form: $-4\frac{1}{2}$ . Substitute $-4\frac{1}{2}$ for x and 10 for y in the equation, then solve: