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alisha [4.7K]
3 years ago
5

The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and g

ender, where gender = 1 for males and 0 for females.
Regression Analysis: Height Versus Shoe Size, Gender

Coefficients
Term Coef SE Coef T-value P-value
Constant 55.24 1.05 52.61 0.000
Shoe Size 1.164 0.13 0.000
Gender 2.574 0.489 5.26 0.000

Required:
a. Find the value of the test statistic for shoe size.
b. Is the regression coefficient of shoe size statistically significant?
c. Does the variable shoe size belong in the model?
d. Interpret the regression coefficient of Gender.
Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

a. 8.95

b. it is

c. yes it belongs

d. males are 2.574 taller than females on average.

Step-by-step explanation:

GIven the regression outpuit that we have in this question, the value of the t test statistics for the shoe size can be solved as

a. test statistic = 1.164/0.13

t test = 8.95

b. the regression coefficient of shoe size is 1.164, this is statistically significant

c. Yes the variable shoe size does belong to the model.

d. The regression coefficient of gender shows that on the average, while holding other variables constant, males are 2.574 inches taller than the their female counterparts.

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Answer:

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Step-by-step explanation:

(-7)² = -7 × -7

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egoroff_w [7]

The required probability is 0.171.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We can find required Probability as shown:

From 10 coins we choose 7 he guessed correct with probability of each 1/2. For three remaining coins he failed to predict the outcomes of the flip with the probability of 1/2 for each. Similarly for 8,9 or 10 successive trials. Let X denote number of successive trials

P(X\geq 7)= \tbinom{10}{7}.\frac{1}{2^{10}}+\tbinom{10}{8}.\frac{1}{2^{10}} +\tbinom{10}{9}.\frac{1}{2^{10}}+\tbinom{10}{10}.\frac{1}{2^{10}}

=120.\frac{1}{2^{10}} +45.\frac{1}{2^{10}} +10.\frac{1}{2^{10}} +.\frac{1}{2^{10}}

=\frac{120+45+10+1}{2^{10}}

=\frac{176}{1024}

=0.171

Hence, the required probability is 0.171.

Learn more about Probability here:

brainly.com/question/6649771

#SPJ4

Given question is incomplete. This is complete question:

A man claims to have extrasensory perception. As a test, a fair coin is flipped 10 times and the man is asked to predict the outcome in advance. He gets 7 out of 10 correct. What is the probability that he would have done at least this well if he had no ESP?

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Step-by-step explanation:

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define equation</u>

6x² - 13x + 6 = 2x²

<u>Step 2: Rewrite in Standard Form</u>

  1. Subtract 2x² on both sides:                    4x² - 13x + 6 = 0

<u>Step 3: Define</u>

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  1. Substitute:                              x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}
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