Somebody please help me

We can say that for 1 unit increase in the BMI, the predicted value of Daily Steps taken by the student decreases by 217.90, while keeping other variables unchanged.

c) The regression equation for middle school students can be obtained by setting Grade_middle=1

Daily step= 6350.02 - 217.90BMI + 2702.12 * 1 + 601.44BMI * 1

= 6350.02 - 217.90BMI + 2702.12 + 601.44BMI

= 9052.14 + 383.54BMI

Therefore, the slope of BMI on steps taken for students in middle school is 383.54

The regression equation for high school students can be obtained by setting Grade_middle=0

Daily Steps = 6350.02 - 217.90BMI + 2702.12 x 0 +601.44BMI*0 = 6350.02 - 217.90BMI

Therefore, the slope of BMI on steps taken for students in high school is -217.90

The model says that variables, the daily steps taken and the BMI of a middle school student are positively correlated (move in the same direction) and the daily steps taken and the BMI are negatively correlated (move in opposite direction) for a high school student. The above slopes say that for 1 unit increase in the BMI for students in middle school increases the predicted daily steps taken by 383.54 and for 1 unit increase in the BMI for students in high school decreases the predicted daily steps taken by 217.90

d) The predicted value of daily steps taken for a BMI=20 and Grade_middle=1 is

Daily Steps = 6350.02 – 217.90 x 20 + 2702.12 x1 +601.44 x 20 x 1 = 16722.94

The actual value of the daily steps taken by a middle school student with a BMI of 20 is 7000

The residual is calculated as

$\text{residual}=\text{Actual}-\text{predicted}=7000-16722.94=-9722.94$

Therefore, this student’s residual is -9722.94

7 0

4 years ago

Plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Alex787 [66]

Answer:

C.) f(x) = −4x + 200

Step-by-step explanation:

Since the number is decreasing, you know the slope will be negative, eliminating the first two choices. The equation in the last choice does not match the given data, so it can be eliminated.

In other words, the easiest way to solve this problem is to check the answers against the given data.

_____

If you want to write the equation from scratch, you need to find the slope. That is ...

(change in number of cars)/(change in weeks) = (184 -192)/(4 -2) = -8/2 = -4

This matches only one answer, but you can go on to finish the equation by starting with point-slope form:

y -192 = -4(x -2)

y = -4x +8 +192 . . . . add 192, eliminate parentheses

y = -4x + 200 . . . . matches choice C.)

3 0

4 years ago

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