Coefficient of determination of model

Assignment Help Basic Statistics

Reference no: EM1313573

1.In a regression model involving 44 observations, the following estimated regression equation was obtained.

= 29 + 18X₁ + 43X₂ + 87X₃

For this model SSR = 600 and SSE = 400. The coefficient of determination for the above model is

a. 0.667

b. 0.600

c. 0.336

d. 0.400

2. A regression model between sales (Y in $1,000), unit price (X₁ in dollars) and television advertisement (X₂ in dollars) resulted in the following function:

= 7 - 3X₁ + 5X₂

For this model SSR = 3500, SSE = 1500, and the sample size is 18. The coefficient of the unit price indicates that if the unit price is:

a. increased by $1 (holding advertising constant), sales are expected to increase by $3

b. decreased by $1 (holding advertising constant), sales are expected to decrease by $3

c. increased by $1 (holding advertising constant), sales are expected to increase by $4,000

d. increased by $1 (holding advertising constant), sales are expected to decrease by $3,000

3. In a regression model involving 30 observations, the following estimated regression equation was obtained:

= 17 + 4X₁ - 3X₂ + 8X₃ + 8X₄

For this model SSR = 700 and SSE = 100. The coefficient of determination for the above model is approximately

a. -0.875

b. 0.875

c. 0.125

d. 0.144

Reference no: EM1313573

Questions Cloud

Computation of net present value and profitability index : Computation of net present value and profitability index of a project and expected net cash flows of $3,000 a year for 10 years if the project's required return is 12 percent

Which gross private domestic investment : Suppose which gross private domestic investment is $800B also the government is currently running over a $400B deficit.

Detailed analysis and comparative contrast of corruption : 15 page term paper on International Business from economic view point. The topic is effect of corruption on Chinese and Indian economy and how India's IT sector (or could be any other sector in which compared to China the corruption is less) is ab..

Cell divison : When the sperm cell unites with egg cell this is known as ______. Usually, this happens in the ______. After four or five days, the developing zygote arrives the uterus.

Coefficient of determination of model : A regression model between sales (Y in $1,000), unit price (X 1 in dollars) and television advertisement (X 2 in dollars) resulted in the following function: = 7 - 3X1 + 5X 2 For this model SSR = 3500, SSE = 1500, and the sample size is 18...

Illustrate what must the new price be to achieve the goal : If the current price of its product is $80 also there is no change in quantity if price is increased, illustrate what must the new price be to achieve the goal.

Determining p value using one-way anova : Results were analyzed using one -way ANOVA and included SSTR =7 , 102 and SSE = 10 ,511. Are all 8 tapes equally appealing on average? Determine p value?

Find the magnitude of the normal force on the bag : Two forces are applied to a car in an effort to accelerate it. The first force, F1 = 328 N, is applied at an angle α = 35° to the forward dashed line. The second force, F2 = 544 N, is applied at an angle β = 8° to the forward dashed line. (a) What is..

Short run and long run impact on prices : Illustrate graphically the impact in the short run and the long run of a Federal Reserve decision to increase open-market purchases.

User Account

All Pages