EBK BASIC BUSINESS STATISTICS
14th Edition
ISBN: 9780134685168
Author: STEPHAN
Publisher: YUZU
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Chapter 15, Problem 8PS
a.
To determine
Determine the predicted value of Y.
b.
To determine
Interpret the meaning of the regression coefficients.
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Find the equation for the regression line using the log-transformed values.
Predict the cerebellum weight in grams of a species weighing 100,000 g (100 kg or about 220 lb). Make sure to transform the grams into log units first and then back into
grams for the prediction (remember that y = 10log(y)). Round your answer in grams to 2 decimal places.
Consider the regression equation In Y₁ = 3.89 +0.5X₁ +0.3X₂i
a. Predict the value of Y when X₁ = 7.1 and X₂ = 4.9.
b. Interpret the meaning of the regression coefficients 100.b₁, and 100.b₂.
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and
number of situps a person can do (y).
The results of the regression were:
y=ax+b
a=-0.889
b=31.442
r²=0.3721
r=-0.61
Use this to predict the number of situps a person who watches 4 hours of TV can do (to one decimal place)
Chapter 15 Solutions
EBK BASIC BUSINESS STATISTICS
Ch. 15 - The following is the quadratic regression equation...Ch. 15 - Business actively recruit business student with...Ch. 15 - A study was conducted on automobile engines to...Ch. 15 - Prob. 4PSCh. 15 - In the production of printed circuit boards,...Ch. 15 - An automotive sales manager wishes to examine the...Ch. 15 - Researchers wanted to investigate the relationship...Ch. 15 - Prob. 8PSCh. 15 - Prob. 9PSCh. 15 - Prob. 10PS
Ch. 15 - Using the data of Problem 15.4 on page 600, stored...Ch. 15 - Using the data of Problem 15.6 on page 601, stored...Ch. 15 - Using the data of Problem 15.6 on page 601 stored...Ch. 15 - If the coefficient of determination between two...Ch. 15 - If the coefficient of determination between two...Ch. 15 - Prob. 16PSCh. 15 - Refer to Problem 14.5 on page 542. Perform a...Ch. 15 - Refer to Problem 14.6 on page 542. Perform a...Ch. 15 - Refer to Problem 14.7 on page 542. Perform a...Ch. 15 - Refer to Problem 14.8 on page 542. Perform a...Ch. 15 - Prob. 21PSCh. 15 - Prob. 22PSCh. 15 - Prob. 23PSCh. 15 - You need to develop a model to predict the asking...Ch. 15 - Accounting Today identified top public accounting...Ch. 15 - How can you evaluate whether collinearity exists...Ch. 15 - Prob. 27PSCh. 15 - Prob. 28PSCh. 15 - A Specialist in baseball analytics has expanded...Ch. 15 - In the production of printed circuit boards,...Ch. 15 - Hemlock Farms is a community located in the Pocono...Ch. 15 - Prob. 32PSCh. 15 - Prob. 33PSCh. 15 - Prob. 34PSCh. 15 - You are a real estate broker who wants to compare...Ch. 15 - You are a real estate broker who wants to compare...Ch. 15 - Financial analysts engage in business valuation to...Ch. 15 - Prob. 38PSCh. 15 - A molding machine that contains different cavities...Ch. 15 - The file Cites contains a sample of 25 cities in...Ch. 15 - In problem 15.32-15.36 you developed multiple...
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- Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardWhat is the carrying capacity for a population modeled by the logistic equation P(t)=250,0001+499e0.45t ? initial population for the model?arrow_forward
- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=a+bx a=20.222 b=-0.911 r2=0.966289 r=-0.983 Use this to predict the number of situps a person who watches 10 hours of TV can do (to three decimal places) situpsarrow_forwardA regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:ŷ=ax+b a=-1.108 b=21.055 r2=0.81 r=-0.9 Use this to predict the number of situps a person who watches 6 hours of TV can do (to one decimal place)arrow_forwardA regression is run to determine if there is a relationship between the age of a company (x) and its profit (y) in thousands of dollars. The result of the regression were: y=ax+b, a=3.5, b=50, r=0.98 Use this to predict the profit of a company whichhas been in business for 20 years.arrow_forward
- persor Develop an estimated multiple regression equation that relates risk of a stroke to the person's age, systolic blood pressure, and whethet Let xi represent the person's age. Let x2 represent the person's systolic blood pressure. Let represent whether the person is a smoker. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sgn even d there is a sign before the blank. (Example -300)arrow_forwardIn a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 18.6 + 3.7x, - 2.2x2 + 7.9x3 + 2.6x4 (a) Interpret b, in this estimated regression equation. = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, x3, and x are held constant. O b1 = 7.9 is an estimate of the change in y corresponding to a1 unit change in x, when x,, x2, and x, are held constant. O b, O b, = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant. when and x4 are held constant. Interpret b, in this estimated regression equation. O b2 = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x, are held constant. = 7.9 is an estimate…arrow_forwardA regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.904 b=39.953 r2=0.4096 r=-0.64 Use this to predict the number of situps a person who watches 0.5 hours of TV can do (to one decimal place) > Next Question hp Cearrow_forward
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