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
vovangra [49]
3 years ago
10

A random sample of 100 cars was taken and data were recorded on the miles per gallon (mpg) in the city and on the highway. The m

ean city mpg was 28 with a standard deviation of 9.2. The mean highway mpg was 35 with a standard deviation of 8.6. The correlation coefficient between city mpg and highway mpg is 0.95. Although a scatterplot is not show, it has been determined that a linear equation is appropriate for the data. Determine the correct value of the slope for the linear model that predicts highway mpg based on city mpg and interpret it in context.
Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

0.89

Step-by-step explanation:

Nunber of samples = 100

City mpg :

Mean = 28

Standard deviation =9.2

Highway mpg:

Mean = 35

Standard deviation = 8.6

correlation Coefficient (r) between city mpg and highway mpg = 0.95.

The value of the slope of the regression line that predicts highway mpg based on city mpg can be obtained by:

(Standard deviation of highway mgp / standard deviation of city mpg) × correlation Coefficient

Slope = (8.6 / 9.2) × 0.95

Slope = (0.934782 × 0.95) = 0.8880

Slope = 0.89 ( two decimal place)

You might be interested in
HELP ME
zhuklara [117]

Answer:

$127.60

Step-by-step explanation:

If Lisa bought 30 shares of stock at $54.02 per share, total cost price will be:

30×$54.02

= $1620.6

If she then sold her shares at $58.19 per share, her total selling price will be:

30×$58.19

= $1745.7

Profit = selling price - cost price

Profit = $1745.7-$1620.6

Profit = $125.1

If her broker charges a 2% commission for all transactions, her total charge will be:

2% of $125.1

= $2.50

Her net gain = profit + broker's charge

= $125.1+$2.50

= $127.60

7 0
3 years ago
(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in milliliters).
ElenaW [278]

Answer:

(48.106 ; 53.494)

Step-by-step explanation:

Given the data:

X : 52 48 49 52 53

Sample mean = ΣX / n

n = 5

Sample mean, xbar = 254 / 5 = 50.8

Standard deviation, s = 2.17 (using calculator)

The standard error (SE) : s/√n =2.17/√5 = 0.970

The degree of freedom, df = n-1

df = 5 - 1 = 4

Tscore(0.05, 4) = 2.776

Confidence interval :

Xbar ± Tscore*standard error

50.8 ± (2.776 * 0.970)

50.8 ± 2.694

Lower boundary = 50.8 - 2.694 = 48.106

Upper boundary = 50.8 + 2.694 = 53.494

(48.106 ; 53.494)

7 0
2 years ago
0.1 is 10 times as much as
Serggg [28]
0.01.
To find the answer, just divide 0.1 by 10
3 0
3 years ago
Read 2 more answers
For which function is f(x) equal to f^-1(x)?
natulia [17]
I think it can be C. but then again who am i
7 0
3 years ago
What are the solution(s) to the quadratic equation 9x2 = 4?
Lunna [17]
Multiply 9 by 2

18 = 4

Then subtract 4 from both sides

18 - 4 = 0 will become

14 = 0

Since 14 ≠ 0, there are no solutions
3 0
3 years ago
Other questions:
  • A student wants to write an expression for, "all of the elements which are not in set
    11·1 answer
  • A 6-ft tall football player casts a 16-in. shadow. at the same time, the stadium bleachers cast a 6-ft shadow. how tall are the
    13·1 answer
  • Determine which of the following are equivalence relations and/or partial ordering relations for the given sets: A = { lines in
    11·1 answer
  • What is 84/144 in simplest form fraction?
    15·1 answer
  • Use technology and a t-test to test claim about the population mean mu at the given level of significance alpha using the given
    12·1 answer
  • HELP<br> 1) Determine the sum of row 19 in Pascal's triangle
    5·2 answers
  • Hello guys i need help
    15·2 answers
  • Plz help im stuck!!!!!!
    5·1 answer
  • Which of the following is a solution to the equation y=-1/4x +8 O (10,8) 0 (48) O (49) O (-8.-10)​
    8·1 answer
  • HELP HELPPPP ME PLSSS
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!