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
kolbaska11 [484]
3 years ago
7

The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical apt

itude.
Row IQ Score Mus.Apt.
1 95 30
2 106 37
3 110 35
4 104 28
5 98 17
6 114 45
7 123 33
8 100 18
9 98 24
10 88 18
11 102 30
12 105 30
13 111 32
14 106 33
15 110 38
16 143 42
17 106 40
18 98 20
19 104 23
20 97 25
Descriptive Statistics
Variable N Mean Median TrMedian StDev SEMean
IQ Score 20 105.90 104.50 104.83 11.60 2.59
Mus.Apt 20 29.90 30.00 29.78 8.27 1.85
Variable Min Max Q1 Q2
IQ Score 88.00 143.00 98.00 110.00
Mus.Apt 17.00 45.00 23.25 36.50
Regression Analysis
Predictor Coef Stdev t-ratio p
Constant -22.26 12.94 -1.72 0.102
IQ Score 0.4925 0.1215
s= 6.143 R-sq= 47.7% R-sq(adj)= 44.8%
A. What is the equation of the least squares regression line that would be used to predict musical aptitude from an IQ score? Be sure to define any variables used.
B. Calculate and interpret a 95% confidence interval for the slope of the regression line.
C. Is there a significant relationship between IQ score and musical aptitude? Give a statistical justification to support your answer. Assume conditions for regression inference are satisfied. Test at
α=0.05.
Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

Y = 0.4925X - 22.26 ;

(-12.413, 13.398) ;

Yes, there is

Step-by-step explanation:

X = IQ Score ; Y = musical aptitude

The regression equation from the table given using the slope and intercept coefficient :

Y = 0.4925X - 22.26

0.4925 = slope ; Intercept = - 22.26

The 95% confidence interval of the slope :

Confidence interval = b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (20 - 2) = 18

Tcritical = 2.1009

b = slope Coefficient = 0.4925

S.E = 6.143

Hence, we have :

Confidence interval = 0.4925 ± (2.1009 * 6.143)

Confidence interval = 0.4925 ± 12.9058287

Lower boundary = 0.4925 - 12.9058287 = - 12.413

Upper boundary = 0.4925 + 12.9058287 = 13.398

(-12.413, 13.398)

There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.

You might be interested in
Could you help With these questions
Ganezh [65]
All I know is number 9. Is -2/5
5 0
3 years ago
___% of 40 = 4<br><br><br> Please help this answer is timed!!!
Goshia [24]

Answer:

10%

Step-by-step explanation:

To find this we make a fraction and multiply by 100%

4/40 *100% = 1/10 *100% = 10%

<em>I hope this helps! :)</em>

4 0
3 years ago
Read 2 more answers
A bond quoted at 93 (1/8) is equal to ___ per 1,000.00 of the face amount.
Ksju [112]
The number a bond is the percentage of the value of the bond that the bond is worth. Because the bond is quoted at 93, the bond is worth $930 per $1,000.
5 0
3 years ago
Read 2 more answers
What is the equation of the axis of symmetry for the parabola y= 1/4(x+2)^2-7
Nezavi [6.7K]
Your answer is -2 as the axis of symmetry is at -b/2a. So if you were to expand the equation, you would get y= x^2/4 +x -6 where b is 1 and 2a is ½ . Therefore -1 / ½ gives you -2
7 0
3 years ago
Plz help me plz f(87) = -590.6 and f(132) = -901.1
quester [9]

Answer:

  ididk

Step-by-step explanation:

  ddkkdk

4 0
2 years ago
Other questions:
  • The second side of a triangle is 4cm longer than the first, The third side is 1 less than twice the first, The perimeter is 55cm
    6·2 answers
  • A number sentence is shown.
    6·1 answer
  • Can somebody do this without a calculator please?
    10·1 answer
  • Stuck on this question.
    8·1 answer
  • Cheryl workers 43.75 hours this week at a rate of $8.15 per hour. She gets paid overtime(time and a half) for any hours over 40.
    11·1 answer
  • An equivalent fraction for 2/3 is ____
    6·2 answers
  • Need help asap please​
    6·2 answers
  • To find 61 × 1,000, annex ______ zeros to _____ to form the product _______
    11·1 answer
  • Please help me out..
    6·1 answer
  • Help math if f(x) =
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!