answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Thepotemich [5.8K]
2 years ago
15

In the Fall STA 2023 Beginning of the Semester Survey, students were asked how many parties they attended every week and how man

y text messages they sent per day. The researcher decided to make the number of parties attended per week the explanatory variable and the number of text messages sent per day the response variable. The least squares regression line for this relationship is y-hat = 64.96 + 25.41x. One student attended 2 parties that week and sent 20 text messages per day. What is the residual?
Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

Answer:

-95.78

Step-by-step explanation:

As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.

After constructing the linear regression equation, the researcher found that an approximate value \hat y for the actual value of y could be represented by the line

\hat y=64.96+25.41x

Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.

For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).

The approximate value of y would be according to the regression line

\hat y(2)=64.96+25.41(2)=64.96+50.82=115.78

Hence, the residual value for x=2 would be

y_{real}-\hat y=20-115.78=-95.78

You might be interested in
A large city in the ancient world was square-shaped. measured in miles, its area numerically exceeded its perimeter by about 132
melisa1 [442]
Area = perimeter + 132.  

Let  each side of the city be x miles long, then:-

x^2 = 4x  + 132
x^2 - 4x - 132 = 0

x  =  [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2

x = 13.66, -9.66   We ignore the negative

So the city  has dimension of 13.66 * 13.66

13.7 * 13.7   to nearest 10th
7 0
2 years ago
Consider a data set with at least three data values. Suppose the highest value is increased by 10 and the lowest is decreased by
bulgar [2K]

Answer:

a. Mean doesn't change.

b. Median doesn't change.

c. Mode can change.

Step-by-step explanation:

Let us assume the data set with 10 observations

{2,6,4,3,2,6,4,9,4,7}.

Arranging data set in ascending order

{2,2,3,4,4,4,6,6,7,9}

mean=2+2+3+4+4+4+6+6+7+9/10=4.7

median

n/2=10/2=5 is an integer so,

median= average of n/2 and n/2 +1

median= (5th value+6th value)/2

median=(4+4)/2=8/2=4

Mode

The most repeated value is 4. So, mode is 4 for assumed data.

Increasing highest value by 10 and decreasing lowest value by 10

{-8,2,3,4,4,4,6,6,7,19}

a.

mean=-8+2+3+4+4+4+6+6+7+19/10=4.7

Mean doesn't change

b.

median

n/2=10/2=5 is an integer so,

median= average of n/2 and n/2 +1

median= (5th value+6th value)/2

median=(4+4)/2=8/2=4

Median doesn't change

c.

Most occurring value is still 4. But mode can change if the value the highest value becomes most concurring value.

5 0
2 years ago
Read 2 more answers
Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the mean best represe
alexandr1967 [171]
Jacob is correct in thinking that because the mean represents the average of several quantities
3 0
2 years ago
Read 2 more answers
A football filters that is 60 m wide and 110 m long is being paved over to make a parking lot. The builder ordered 660,000,000 c
ad-work [718]
The answer is 10 cm

Imagine cement cover as a rectangle which volume is 660,000,000 cm3. So this rectangle has width (w = 60m), length (l = 110m), and height (h = ?). The height of the rectangle is actually a thickness of the cement layer. So, we will use the formula for the volume (V) of the rectangle to calculate the thickness:
V = w · l · h

It is given:
V = 660,000,000 cm³
w = 60 m = 60 · 100 cm = 6,000 cm
l = 110 m = 110 · 100 cm = 11,000 cm
h = ?

Using the formula: V = w · l · h
660,000,000 = 6,000 · 11,000 · h
660,000,000 = 66,000,000 · h
⇒ h = 660,000,000 ÷ 66,000,000 = 10 cm
4 0
2 years ago
Suri made 6 gallons of lemonade to sell at her lemonade stand. in one day she sold 2/3 of the lemonade. how much lemonade did sh
Zina [86]
I hope this helps you

7 0
2 years ago
Read 2 more answers
Other questions:
  • The answer plz I need the answer
    14·1 answer
  • Which polynomial function could be represented by the graph below?
    8·2 answers
  • A silicon chip is 14 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scient
    12·2 answers
  • 82.25% of the employees at Industrial Mechanics are college graduates. If 254 employees are college graduates, what is the total
    13·1 answer
  • Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the
    13·1 answer
  • !!!!!!PLEASE HELP, WILL MARK BRAINLIEST. PLEEEEES!!!!!!!! Square EFGH is drawn on a coordinate plane. Diagonal FH is on the line
    5·1 answer
  • Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces? Select
    11·2 answers
  • Marika is training for a race track. she starts by sprinting 100 yards. she gradually increases her distance, adding 4 yards a d
    8·1 answer
  • A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 centimeters. What are the lengths of the other th
    9·2 answers
  • Joylin win a $50 gift card for the local movie theater. She uses the entire amount on the card to purchase tickets and snacks fo
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!