Question
In: Statistics and Probability
A Regression analysis was applied between sales data (y in $1000s) and advertising expenditure (x in...
-
A Regression analysis was applied between sales data (y in $1000s) and advertising expenditure (x in $100s) and the estimated regression equation is obtained as ŷ = 12 + 1.8 x.
Suppose SST=300, SSE=75, sb1 =0.2683 and ?=17-
a) Carry out a t-test to see whether the advertising expenditure is significant. Use α = 0.05 and critical value approach to draw your conclusion. Make sure to show all your steps.
-
b) Carry out an F-test to see whether the advertising expenditure is significant. Use α = 0.05 and critical value approach to draw your conclusion. Make sure to show all your steps.
-
Solutions
orchestra answered 1 year agoRelated Solutions
Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s)...
Regression analysis was applied between sales data (y in $1000s)
and advertising data (x in $100s) and the following information was
obtained. = 30 + 2x n = 17 SSR = 450 SSE = 150
The critical t value for testing the significance of the slope,
at a .05 level of significance, is: 1.746. 2.131. 1.753. 2.120.
A regression analysis relating a company’s sales, their advertising expenditure, price, and time resulted in the...
A regression analysis relating a company’s sales, their
advertising expenditure, price, and time resulted in the
following.
Regression Statistics
Multiple R
0.8800
R Square
0.7744
Adjusted R Square
0.7560
Standard Error
232.29
Observations
25
ANOVA
df
SS
MS
F
Significance F
Regression
3
53184931.86
17728310.62
328.56
0.0000
Residual
21
1133108.30
53957.54
Total
24
54318040.16
Coefficients
Standard Error
t Stat
P-value
Intercept
927.23
1229.86
0.75
0.4593
Advertising (X1)
1.02
3.09
0.33
0.7450
Price (X2)
15.61
5.62
2.78
0.0112
Time (X3)
170.53...
A regression analysis relating a company’s sales, their advertising expenditure, price (per unit), and time (taken...
A regression analysis relating a company’s sales, their
advertising expenditure, price (per unit), and time (taken per unit
production) resulted in the following output.
Regression Statistics
Multiple R
0.9895
R Square
0.9791
Adjusted R Square
0.9762
Standard Error
232.29
Observations
ANOVA
df
SS
MS
F
Significance F
Regression
3
53184931.86
17728310.62
328.56
0.0000
Residual
21
1133108.30
53957.54
Total
24
54318040.16
Coefficients
Standard Error
t Stat
P-value
Intercept
927.23
1229.86
0.75
0.4593
Advertising (x1)
1.02
3.09
0.33...
A regression analysis of 32 months’ data relating a company's monthly advertising expenses (x, in thousands...
A regression analysis of 32 months’ data relating a company's
monthly advertising expenses (x, in thousands of dollars) to its
sales (y, in thousands of dollars) yields the following output: •
?0=100 • ?1=5.3 • Standard error of the estimate ? = ?? = 56 •
Standard error for ?1, ???1 =0.3 Furthermore, when ? ∗=9, the
standard error for a confidence interval for the estimated mean
response is given by ???̂ = 29, while the standard error for a...
1-A regression analysis between weight (y in pounds) and height (x in inches) resulted in the...
1-A regression analysis between weight (y in pounds) and height
(x in inches) resulted in the following least squares line:
?̂=120+5? This implies that if the height is increased by 1 inch,
the weight is expected to:
A. increase by 5 pounds
B. increase by 24 pounds
C. increase by 1 pound
D. decrease by 1 pound
If the coefficient of correlation is -0.60, then the coefficient
of determination is:
A. 0.36
B. -0.36
C. -0.60
D. 0.40
2- For...
The following data represent a company's yearly sales and its advertising expenditure over a period of...
The following data represent a company's yearly sales and its
advertising expenditure over a period of 8 years.
Advertising Expenditure (in $10,000)
(x)
Sales in
Millions of Dollars (y)
32
15
33
16
34
18
34
17
35
16
37
18
39
21
40
24
a.
Develop a scatter diagram of sales versus advertising
and explain what it shows regarding the
relationship between sales and advertising.
b.
Compute an estimated regression equation between sales and
advertising.
c.
If the...
The following data represent a company's yearly sales and its advertising expenditure over a period of...
The following data represent a company's yearly sales and its
advertising expenditure over a period of 8 years.
Advertising Expenditure (in $10,000)
(x)
Sales in
Millions of Dollars (y)
32
15
33
16
34
18
34
17
35
16
37
18
39
21
40
24
a.
Develop a scatter diagram of sales versus advertising
and explain what it shows regarding the
relationship between sales and advertising.
b.
Compute an estimated regression equation between sales and
advertising.
c.
If the...
The following data represent a company's yearly sales and its advertising expenditure over a period of...
The following data represent a company's yearly sales and its
advertising expenditure over a period of 8 years.
Advertising Expenditure (in $10,000)
(x)
Sales in
Millions of Dollars (y)
32
15
33
16
34
18
34
17
35
16
37
18
39
21
40
24
a.
Develop a scatter diagram of sales versus advertising
and explain what it shows regarding the
relationship between sales and advertising.
b.
Compute an estimated regression equation between sales and
advertising.
c.
If the...
The following data represent a company's yearly sales and its advertising expenditure over a period of...
The following data represent a company's yearly sales and its
advertising expenditure over a period of 8 years.
Sales in Millions of Dollars (y)
Advertising Expenditure (in $10,000) (x)
15
32
16
33
18
35
17
34
16
36
19
37
19
39
24
42
a. Use the method of least squares to compute an estimated
regression equation between sales and advertising
b. If the company's advertising expenditure is $400,000,...
9) Use the following data to estimate a linear regression equation between y and x. Interpret...
9) Use the following data to estimate a linear regression
equation between y and x. Interpret the estimated slope
coefficient. Predict y for an x value of 9. Calculate and interpret
the model’s R-squared.
x
y
21
12
17
10
11
8
3
5
13
15
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Question #2 Assume that (a) the price level is flexible upward but not downward and (b)...
- We know that a profit maximizing competitive firm will set its price equal to the market...
- The case study of Pure Organic food and Juice Bar : The four key questions that...
- how to creat a bank system application for Java?
- Find WN, MRC, and MRP cells. Determine W* and N* from the information provided. Graph the...
- Explain how ultra-rapid cooling of some metal alloys produces metallic glass.
- STEPS: Part III – Copper Charge 18. Measure and record the mass of a clean, dry...
ADVERTISEMENT