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kobusy [5.1K]
3 years ago
13

Is there a relationship between the percent of high school graduates in each state who took the SAT and the state’s mean SAT Mat

h score? Here is a residual plot from a linear regression analysis that used data from all 50 states in a recent year
A residual plot shows “Percent of high school graduates taking the SAT” along the horizontal axis ranging from 0 to 90 in increments of 10 and “Residual” along the vertical axis ranging from negative 50 to 50 in increments of 25. A horizontal line is drawn at 0 on the vertical axis across the graph. Dots are scattered on the either side of the line across the graph and between negative 30 and 35 on the vertical axis. A dot is shown before 20 on the horizontal axis between negative 70 on the vertical axis.
Explain how the residual plot shows that the Linear condition for performing inference about the slope is, or is not, met.

The variability of the residuals in the vertical direction is roughly the same from the smallest to the largest -value, which suggests that the relationship between mean SAT score and percent taking is not linear.

There is clear curvature in the residual plot, which confirms that the relationship between mean SAT score and percent taking is linear.

There is clear curvature in the residual plot, which suggests that the relationship between mean SAT score and percent taking is not linear.

There is clear curvature in the residual plot, which suggests that the relationship between mean SAT score and residual values is not linear.

The variability of the residuals in the vertical direction is roughly the same from the smallest to the largest -value, which confirms that the relationship between mean SAT score and percent taking is linear.

Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

Answer:

There is clear curvature in the residual plot, which suggests that the relationship between mean SAT score and percent taking is not linear.

Step-by-step explanation:

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What is the product of the binomials (4a – 1) and (2b + 3)?
galben [10]

Answer:

D. 8ab+12a-2b-3

Step-by-step explanation:

You are basically combining like terms

8 0
3 years ago
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Compare and Contrast Graph y = 2x + 5 and y=-13x+5. Describe how these lines are alike and how they are different. *​
krek1111 [17]

Here are a couple I found:

<u>Similarities</u>:

  • They have the same y-intercept of (0,5).
  • They are both in slope-intercept form.

<u>Differences</u>:

  • The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
  • They have different x-intercepts. (y = 2x + 5 intersects (-\frac{5}{2}, 0) while y = -13x + 5 intersects at (\frac{5}{13}, 0)

<u></u>

<u>Explanation</u>:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

4 0
3 years ago
Please help! Please explain how to do this, I am so lost.
alexdok [17]
Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other

6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18

Finally, we solve for the angle with 18 for x

6(18) + 12
108 + 12
120

Hope this helps
8 0
3 years ago
Please help with this and explain how to do it, I'll give 15 points
MrRissso [65]

Answer:

Option (4).

Step-by-step explanation:

Outer diameter of the hollow metallic ball = 10 centimeters

Outer radius of this ball = \frac{10}{2} = 5 cm

Volume of the outer ball V_{1} = \frac{4}{3}\pi (r)^3

                                         = \frac{4}{3}\pi (5)^3

Inner radius of the hollow metallic ball = (5 - 1) = 4 cm

Volume of the inner hollow ball V_{2} = \frac{4}{3}\pi (4)^3

Volume of the metal used in the metallic ball = V_{1}-V_{2}

                                                                           = \frac{4}{3}\pi (5)^3-\frac{4}{3}\pi (4)^{3}

                                                                           = \frac{4}{3}\pi [(5)^3-(4)^3]

Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.

8 0
3 years ago
Can someone please help ASAP
White raven [17]

Answer: 36

Step-by-step explanation:

Multiply -6 by itself six times, then divide 1 by -6 four times. Multiply the products. Then multiply -6 by itself one more time and you will get 36.

The top question is 1/4. There seems to be a small multiplaction symbol next to the fractions, I'm ignoring that. To get 1/4, I multiplied 2 by itself six times because of the exponent, to get 64. I did the same with the bottom, and recieved 256. 64/256 is 1/4.

6 0
3 years ago
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