Answer:
B) For each participant in the study, the difference between his/her GPA and the mean GPA.
Step-by-step explanation:
Residuals in a regression model represent the differences between the observed values (in this case, student GPAs) and the predicted values (the mean GPA predicted by the model). So, option B is the correct description of what you will see when you print the residuals.
Well, from the info given, you cannot automatically put it into slope intercept form. You have to put it into point slope form first and then convert it.
Point slope form looks like this: y - y1 = m(x - x1)
Now, with the info it looks like this: y - (-2) = -3(x - 1)
Now you distribute and change the - (-2) to +2 (because subtracting a negative is the same as adding a positive) and you get: y + 2 = -3x - 3
Now, you subtract 2 to get y by itself (we are converting now)
y = -3x - 5
Hope this helps!
The coin falls down with an average speed of 132.3 meters per second from 3 seconds to 6 seconds.
The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.
The coin travels an average distance of 132.3 meters from 3 seconds to 6 seconds.
The coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.
B.49/100
C.7/50
D.10/49
Step-by-step explanation: To multiply the square root of 3 times the square root of 21, we simply multiply the numbers that are inside the square roots together.
So, root 21 × root 3 equals root 63.
Next, we simplify the square root of 63. 63 factors as 3 x 21 and 21 factors as 3 x 7. So we have a pair of 3's which means a 3 can come out of the radical and the 7 doesn't pair up stays in the radical so our final answer is .
3√7 is the simplified value of the given expression.
To simplify the expression √3 * √21, we can combine the square roots and simplify under one radical if possible.
√3 * √21 = √(3 * 21)
Simplifying the product inside the radical:
√(3 * 21) = √63
Now, we can simplify further by factoring 63 into its prime factors:
√(3 * 21) = √(3 * 3 * 7)
Taking the square root of each factor:
√(3 * 3 * 7) = √3 * √3 * √7 = 3 * √7
Therefore, √3 * √21 simplifies to 3√7.
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