1answer.
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
Slav-nsk [51]
3 years ago
14

Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot

describe the regression of fastest serve speed (in kilometers per hour) and the height (in meters) of 21 current male professional tennis players.
a. Describe the relationship between height and fastest serve speed for these tennis players.
b. Write the equation of the least-squares regression line. Define any variables used.
c. Interpret the value "R-sq = 27.7%".
d. What is the slope of the least-squares regression line? Interpret this value.
e. Predict the fastest serve of a professional tennis player whose is 1.7 meters tall. Comment on the reliability of this prediction.
f. What is the value of the correlation between height and fastest serve speed? Interpret this value.
g. Calculate the residual for the player that is 2.06 meters tall and has a fastest serve speed of 230 km/hr. Interpret this value.
Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

You might be interested in
Of the students in Rosalie's dance class 29 out of 59 have participation in dance class before. (options)
oksano4ka [1.4K]

Answer:

I would believe its 1/2



5 0
3 years ago
17 __ a solution od d - 6 = 23<br><br> is it or is it not
anygoal [31]

Answer:

29 is the answer.

:-)

;-)

3 0
2 years ago
Read 2 more answers
I spent 3/4 of my money and then I spent 1/5 of what was left. 
Alborosie
1/20 is the fraction that you'll have left
6 0
3 years ago
What is the square root of 4761?
Ira Lisetskai [31]

Answer:

its 69 i think

Step-by-step explanation:

7 0
3 years ago
Please help just look at the pic
mihalych1998 [28]

Answer:

it wont let me see

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Juan learns that his favorite public park is going to be turned into a shopping mall. He is quite upset at the thought of losing
    13·2 answers
  • Compare and contrast between x-intercept and y-intercept
    8·2 answers
  • Find 80 percent of 25
    13·1 answer
  • The graph of f(x) = One-half(2.5)x and its reflection across the x-axis, g(x), are shown. On a coordinate plane, 2 exponential f
    13·2 answers
  • A number is divided in the ratio 7:2. If the second part is 34, find the number.
    10·1 answer
  • PLEASE HELP WITH THIS
    12·1 answer
  • Help help help help help
    14·1 answer
  • Fay has a lemonade stand.
    10·2 answers
  • May y’all help me with this
    10·1 answer
  • (PLEASE HELP) <br> Find the area of the parallelogram.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!