Question
A random sample of ten professional athletes produced the following data where x is the number...
A random sample of ten professional athletes produced the following
data where x is the number of endorsements the player has
and y is the amount of money made (in millions of
dollars).
| x | y | x | y |
|---|---|---|---|
| 0 | 2 | 5 | 11 |
| 3 | 8 | 4 | 9 |
| 2 | 6 | 3 | 8 |
| 1 | 3 | 0 | 3 |
| 6 | 14 | 5 | 10 |
What is the y-intercept, a, of the line of best fit? (Round your answer to three decimal places.)
a =
What does it represent? (Round your answer to three decimal places.)
The y-intercept means that on average, players with no endorsements earn _______________ million dollars a year.
Homework Answers
Answer #1
Answer: The linear regression equation is given by y_hat = 2.196 +1.795 x, where y_hat= the predicted value of the amount of money made (in millions of dollars) made by the athlete and x= the number of endorsements the player has.
The line of best fit thus has y-intercept = a = 2.196 (rounded to 3 decimals). It means that on average, players with no endorsements earn 2.196 million dollars a year.
The linear regression equation is obtained using R-software. Code and Output are attached below.
Not the answer you're looking for?
Similar Questions
A random sample of ten professional athletes produced the following data where x is the number...
A random sample of ten professional athletes produced the
following data where x is the number of endorsements the
player has and y is the amount of money made (in millions
of dollars).
x
y
x
y
0
2
5
11
3
8
4
9
2
6
3
8
1
3
0
3
6
14
5
10
Use regression to find the equation for the line of best fit.
(Round your answers to three decimal places.)
ŷ = + x
11.4 #7 Let x be a random variable that represents the batting average of a professional...
11.4 #7
Let x be a random variable that represents the batting
average of a professional baseball player. Let y be a
random variable that represents the percentage of strikeouts of a
professional baseball player. A random sample of n = 6
professional baseball players gave the following information.
x
0.328
0.270
0.340
0.248
0.367
0.269
y
3.2
7.8
4.0
8.6
3.1
11.1
(a) Find ?x, ?y, ?x2,
?y2, ?xy, and r. (Round
r to three decimal places.)
?x =...
A random sample of 11 technicians produced the following data, where x is the number of...
A random sample of 11 technicians produced the following data,
where x is the number of tasks assigned, and y is the number
incomplete tasks at the end of the first shift. The data are
presented below in the table of values.
x
y
12
2
14
4
15
5
16
5
19
9
22
8
25
11
27
16
29
14
32
14
35
18
What is the value of the slope of the regression line, m,
rounded to...
Let x be a random variable that represents the batting average of a professional baseball player....
Let x be a random variable that represents the batting
average of a professional baseball player. Let y be a
random variable that represents the percentage of strikeouts of a
professional baseball player. A random sample of n = 6
professional baseball players gave the following information.
x
0.324
0.288
0.340
0.248
0.367
0.269
y
2.6
7.8
4.0
8.6
3.1
11.1
(a) Verify that Σx = 1.836, Σy = 37.2,
Σx2 = 0.572074, Σy2 =
290.38, Σxy = 10.7052, and...
The table below gives the number of hours ten randomly selected students spent studying and their...
The table below gives the number of hours ten randomly selected
students spent studying and their corresponding midterm exam
grades. Using this data, consider the equation of the regression
line, yˆ=b0+b1x, for predicting the midterm exam grade that a
student will earn based on the number of hours spent studying. Keep
in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line...
Let x be a random variable that represents the percentage of successful free throws a professional...
Let x be a random variable that represents the percentage of
successful free throws a professional basketball player makes in a
season. Let y be a random variable that represents the percentage
of successful field goals a professional basketball player makes in
a season. A random sample of n = 6 professional basketball players
gave the following information. x 57 36 34 59 39 46 y 44 27 34 36
39 40 Verify that Se ≈ 5.306, a ≈...
The number of hours studied, x, is compared to the grade received, y. x 3 3...
The number of hours studied, x, is compared to the
grade received, y.
x
3
3
5
4
5
y
75
90
85
75
95
(a) Find the equation for the line of best fit. (Round your
intercept to two decimal places and your slope to three decimal
places.)
= + x
(b) Draw the line of best fit on the scatter diagram of
these data
A study shows that the lengths of the careers of professional football players are nearly normally...
A study shows that the lengths of the careers of professional
football players are nearly normally distributed, with a mean of
6.2 years and a standard deviation of 1.9 years.
(a) What percent of professional football players have a career
of more than 9 years? (Round your answer to one decimal place.)
%
(b) If a professional football player is chosen at random, what
is the probability that the player will have a career of between 3
and 4 years?...
A random sample of 11 hikers produced the following data, where x is the age of...
A random sample of 11 hikers produced the following data, where
x is the age of the hiker, and y is the maximum number of miles
hiked per week. The data are presented below in the table of
values.
x y
6 19
7 26
10 35
13 34
14 36
17 45
18 44
20 54
23 48
24 67
25 53
What is the value of the intercept of the regression line, b,
rounded to one decimal place?...
The number of hours studied, x, is compared to the grade received, y. x 4 2...
The number of hours studied, x, is compared to the
grade received, y.
x
4
2
4
5
5
y
85
65
85
95
65
(a) Find the equation for the line of best fit. (Round your
intercept to two decimal places and your slope to three decimal
places.)
= + x
(b) Draw the line of best fit on the scatter diagram of these
data.
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 9 minutes ago
asked 26 minutes ago
asked 38 minutes ago
asked 52 minutes ago
asked 56 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago