On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant mus
1 answer:
Answer:
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)
The Standard error of the mean is 0.2328
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given sample size 'n' = 49
The Expected value of the mean of 49 randomly selected students
μₓ = μ =7.06 digits
b)
<em>The Standard error of the mean determined by</em>
<em></em><em></em>
Given sample size 'n' = 49
<em>The Standard deviation 'σ' = 1.63 digits</em>
<em>The Standard error </em>
<u><em>Final answer</em></u>:-
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)<em> The Standard error of the mean is 0.2328</em>
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Answer:
(i) The estimated regression equation is;
≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that increase by a multiple of 0.0604 for each million dollar increase in sales, X
(ii) The estimated earnings for the company is approximately $4.7096 million
(iii) The standard error of estimate is approximately 29.34
The high standard error of estimate indicates that individual mean do not accurately represent the population mean
(iv) The coefficient of determination is approximately 0.57925
The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925
Step-by-step explanation:
The given data is presented as follows;
(i) From the data, we have;
The regression equation can be presented as follows;
= b₀ + b₁·x
Where;
b₁ = The slope given as follows;
b₀ = - b₁·
From the data, we have;
= 364.05
= 6,027.259
= 4.2
= 41.5625
∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005
b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69
Therefore, we have the regression equation as follows;
≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales
(ii) For the small company, we have;
X = $50.0 million, therefore, we get;
= 1.6896 + 0.0604 × 50 = 4.7096
The estimated earnings for the company, = 4.7096 million
(iii) The standard error of estimate, σ, is given by the following formula;
Where;
n = The sample size
Therefore, we have;
The standard error of estimate, σ ≈ 29.34
The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean
(iv) The coefficient of determination (R Square) is given as follows;
Where;
SSR = The Sum of Squared Regression ≈ 21.9884
SST = The total variation in the sample ≈ 37.96
Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925
The coefficient of determination, R² ≈ 0.57925.
Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925
Answer:
Step-by-step explanation:
Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.
ax – c = bx + d
Step 1: subtract bx from both sides
ax – c = bx + d
ax-bx = d+c
Step 2: Factor out x in the left hand side of the resulting expression
x(a-b) = d+c
Step 3: Divide both sides by the coefficient of i.e (a-b)
Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b