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
Mazyrski [523]
3 years ago
8

An art dealer is trying to determine whether the age of a painting plays a significant role in its price at auction. She collect

s the sale data for 10 paintings, including the painter, the title of the painting, the age of the painting at auction, and the sale at auction (in million $). The data is reproduced in the table below. Calculate the correlation coefficient rusing a TI-83, TI-83 plus, or TI-84 graphing calculator (round your answer to two decimal places).
Artist Title Age at auction (in years) Price sold (in million $)
Peter Paul Rubens Massacre of the Innocents 391 76.7
Roy Lichtenstein Nurse 51 95.4
Francis Bacon Triptych, 1976 32 86.3
Pablo Picasso Les Noces de Pierrette 84 49.3
Jasper Johns False Start 47 80
Vincent van Gogh A Wheatfield with Cypresses 104 57
Pablo Picasso Yo, Picasso 88 47.8
Andy Warhol Turquoise Marilyn 43 80
Titian Portrait of Alfonso d'Avalos 470 70
Mark Rothko Orange, Red, Yellow 51 86.9
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

-0.20

Step-by-step explanation:

Given the data:

Age at auction (x) ____price sold (y)

391

51

32

84

47

104

88

43

470

51

Y:

76.9

95.4

86.3

49.3

80

57

47.8

80

70

86.9

General formula for a simple linear regression :

y = ab + c

Where ;

y = predicted variable ; a = slope / gradient

b = predictor / independent variable ; c = intercept

From the result obtained from the calculator :

y = -0.01246X + 74.65552

Correlation Coefficient is used to measure the strength of relationship between linear variables.

The regression Coefficient obtained is - 0.20

This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.

You might be interested in
!!PLEASE HELP MY PARENTS ARE MAD AT ME FOR MY GRADES!! f( x) = -3 x – 5, calculate f(-7)
Stolb23 [73]

Answer:

16

Step-by-step explanation:

plugin -7 for where x is

f(-7)= (-3)(-7)-5

=21-5 is 16

4 0
2 years ago
Read 2 more answers
Stacey and Jeremy sent out 380 invitations They have received 127 responses. What does q represent in the equation 380-q = 127
r-ruslan [8.4K]
Q represents the number of invitations without a response. Q is equal to 253
8 0
3 years ago
Please answer this question now in two minutes
shepuryov [24]

Answer:

40m Since it is the shortest side

Step-by-step explanation:

7 0
3 years ago
Find the interquartile range of the data. 68, 15, 55, 5, 66, 42, 51, 12, 23 *
Elan Coil [88]

Answer:

72.5

Step-by-step explanation:

5, 12, 15, 23, 42, 51, 55, 66, 68

42 = median

Q1 median = 21

Q2 median = 93.5

93.5 - 21 = 72.5

         Hope this helped!!!

4 0
3 years ago
33 degrees, 87 degrees, x=?
zheka24 [161]

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

4 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular bird sanctuary is being created with one side along a straight riverbank. the remaining three sides are to be encl
    13·1 answer
  • Which angles are consecutive angles?
    6·1 answer
  • 2. "In a job shop, effective capacity is only 50 percent of design capacity, and actual output is" 80 percent of effective outpu
    10·1 answer
  • Please help this is a big test!
    8·1 answer
  • Write an equation for the following graph.
    8·2 answers
  • Which function will not have an
    15·1 answer
  • Each correct answer is worth 134 points, and each incorrect answer is worth −14 points.
    6·2 answers
  • Please help the answer is not 59 o think
    10·1 answer
  • 7th grade math help!!
    14·2 answers
  • Please help lol!!!!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!