Question

VERY URGENT

A world wide fast food chain decided to carry out an experiment
to assess the influence of advertising expenditure (A) on sales (S)
or vice versa. The table shows, for 8 randomly selected
countries, percentage increase in advertisement
expenditure (A) and percentage increase in sales (B)
collected. The data presented in the following table are
the sums and sum of squares. **(use 2 digits after decimal
point)**

∑ A = 22.5 |
∑ A |
∑ ( A-Abar ) |

∑ B = 135 |
∑ B |
∑ ( B-Bbar ) |

∑ AB= 394.4 |
∑ [( A-Abar )(B-Bbar )] = SSAB = 14.71 |

**a.** Compute sample correlation coefficient.
r=Yanıt

**b.** Test correlation coefficient for
significance. (**hint: ρ** is population correlation
coefficient)

Null Hypothesis is

Ho: ρ>0 | Ho: ρ≥0 | Ho: ρ<0 | Ho: ρ≤0 |

Alternative Hypothesis is

H_{1}: ρ<0 |
H_{1}: ρ≥0 |
H_{1}: ρ>0 |
H_{1}: ρ≤0 |

Test statistic is Yanıt

Critical Value of the test at α=5% is

Does your findings support the hypothesis that as advertisement expenditures increases, sales also increases at 5% significance level?

May be | Yes | No |

**c.** Find the linear regression equation of sales
based on advertisement.

Estimated sales = + Advertisement

**d.** Find the linear regression equation of
advertisement based on sales.

Estimated advertisement = + Sales

**e**. Which model is more deterministic?
(**hint:** use coefficient of determination to
decide)

Model in part (c)

Model in part (d)

They are equivalent

Answer #1

A world wide fast food chain decided to carry out an experiment
to assess the influence of advertising expenditure (A) on sales (S)
or vice versa. The table shows, for 8 randomly selected countries,
percentage increase in advertisement expenditure (A) and percentage
increase in sales (B) collected. The data presented in the
following table are the sums and sum of squares. (use 2 digits
after decimal point)
∑ A = 22.5 ∑ A2 = 64.91 ∑ ( A-Abar )2 =...

The World Bank collected data on the percentage of GDP that a
country spends on health expenditures ("Health expenditure," 2013)
and also the percentage of women receiving prenatal care ("Pregnant
woman receiving," 2013). The data for 14 countries where this
information is available for the year 2011 are in following table
(note: outlier data has been removed):
Data of Health Expenditure versus Prenatal
Care
Health Expenditure (% of GDP)
Prenatal Care (%)
3.7
54.6
5.2
93.7
5.2
84.7
10.0
100.0...

I. Solve the following problem:
For the following data:
1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6 n = 12
b) Calculate
1) the average or average
2) quartile-1
3) quartile-2 or medium
4) quartile-3
5) Draw box diagram (Box & Wisker)
II. PROBABILITY
1. Answer the questions using the following
contingency table, which collects the results of a study to 400
customers of a store where you want to analyze the payment
method.
_______B__________BC_____
A...

A biologist looked at the relationship between number of seeds a
plant produces and the percent of those seeds that sprout. The
results of the survey are shown below.
Seeds Produced
62
41
55
50
47
54
41
63
46
Sprout Percent
54
67.5
63.5
67
59.5
58
65.5
50.5
54
Find the correlation coefficient:
r=r= Round to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:H0: ? ρ μ r == 0
H1:H1: ? ρ μ r ≠≠ 0...

A study was done to look at the relationship between number of
movies people watch at the theater each year and the number of
books that they read each year. The results of the survey are shown
below.
Movies
5
8
8
8
1
5
5
9
4
Books
6
0
0
0
7
6
3
0
3
Find the correlation coefficient:
r=r= Round to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:H0: ? r μ ρ ==...

A study was done to look at the relationship between number of
vacation days employees take each year and the number of sick days
they take each year. The results of the survey are shown below.
Vacation Days
0
1
4
9
13
13
15
1
6
9
Sick Days
9
12
10
5
5
1
0
6
4
6
Find the correlation coefficient: r=r= Round
to 2 decimal places.
The null and alternative hypotheses for correlation are:
H0:? r μ...

1. In a multiple
regression model, the following coefficients were obtained:
b0 = -10 b1
= 4.5 b2 = -6.0
a. Write the
equation of the estimated multiple regression model. (3 pts)
b Suppose a
sample of 25 observations produces this result, SSE = 480. What is
the estimated standard error of the estimate? (5 pts)
2. Consider the
following estimated sample regression equation:
Y = 12 + 6X1 -- 3 X2
Determine which of the following
statements are true,...

Applications I
Consider the following data representing the total time (in hours)
a student spent on reviewing for the Stat final exam and the actual
score on the final. The sample of 10 students was taken from a
class and the following answers were reported.
time score
0 23
4 30
5 32
7 50
8 45
10 55
12 60
15 70
18 80
20 100
Part 1: Use the formulas provided on the 3rd formula sheet to
compute...

1. For a pair of sample x- and y-values, what is the difference
between the observed value of y and the predicted value of y? a) An
outlier b) The explanatory variable c) A residual d) The response
variable
2. Which of the following statements is false:
a) The correlation coefficient is unitless. b) A correlation
coefficient of 0.62 suggests a stronger correlation than a
correlation coefficient of -0.82. c) The correlation coefficient,
r, is always between -1 and 1....

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