What is the Y-intercept of the linear equation? Multiple Choice −12.201 2.195 −1.860 12.505
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A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A
| Coefficients | Standard Error | t-Stat | p-value | |
|---|---|---|---|---|
| Intercept | −12.201 | 6.560 | −1.860 | 0.100 |
| Number of contacts | 2.195 | 0.176 | 12.505 | 0.000 |
What is the Y-intercept of the linear equation?
-
−12.201
-
2.195
-
−1.860
-
12.505
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4What is extrapolation when using a linear model?Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
- Does Table 2 represent a linear function? If so, finda linear equation that models the data.In a regression analysis, if the slope is -2.23and the y-intercept is 1.25, which of the following should be the least regression equation? A. y = -2.23x + 1.25 B. y = 1.25x - 2.23 C. y = 2.23x - 1.25 D. y = -1.25x + 2.23The owners of an e-business have been successful in selling fashion products but are now venturing into another domain. Knowing that the impact of advertising on profit cannot be overemphasized, they are interested in determining the right amount to allocate to advertising for the new business. Based on a monthly report from the fashion e-business, a regression analysis of monthly profit (in thousands of dollars) on advertising spending (in hundreds of dollars) produced the following results: slope y�-intercept r� 1.24 2.437 0.7372 where y = profit (in $1000s) x = advertising spending (in $100s) a. State the least-squares regression line for the data. ŷ = ? + ? x b. Interpret the value of the slope as it relates to this problem. For every $1 increase in advertising spending, there is a $1.24 increase in profit. For every $100 increase in advertising spending, there is a $1,240 increase in profit. For every $100 increase in advertising spending, there is a…
- A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results: Coefficients Standard Error t-Stat p-value Intercept −12.201 6.560 −1.860 0.100 Number of contacts 2.195 0.176 12.505 0.000 What is the slope of the linear equation? Multiple Choice −12.201 2.195 −1.860 12.505Dr. Woods tested the correlation between insulin in the blood and sugar consumption. She found that the correlation was 1. What would be the prediction error for a subsequent linear regression analysis given that the y-intercept = 10.40? a)1.00 b)Not enough information to determine c)10.40 d)0.00The following multiple linear regression depicts the sales of Unilever Corporation: S = 10- 0.20P + 0.06TA + 0.08RA Where:S: Sales (Unit);P: Price ($/Unit);TA: Television advertising ($)RA: Radio advertising ($). 1. Interpret the slopes;2. Is television advertising more effective than radio advertising? Why or why not?3. What is the effect of a $1 increase in price, a $3 increase in TV advertising, and a $2decrease in radio advertising on sales?4. What is the effect of a $2 decrease in price, a $2 decrease in TV advertising, and a $4increase in radio advertising on sales?
- A shoe store developed the following estimated regression equation relating sales to inventory investment and advertising expenditures. ŷ = 25 + 10x1 + 8x2 where x1 = inventory investment ($1,000s) x2 = advertising expenditures ($1,000s) y = sales ($1,000s). (a) Predict the sales (in dollars) resulting from a $15,000 investment in inventory and an advertising budget of $11,000. $ ----------------- (b) Interpret b1 and b2 in this estimated regression equation. Sales can be expected to increase by $ ---------------for every dollar increase in inventory investment when advertising expenditure is held constant. Sales can be expected to increase by $-----------------for every dollar increase in advertising expenditure when inventory investment is held constant.A regression analysis between sales (Y in $1000) and advertising (X in dollars) resulted in the following equation y_hat = 30 , 000 + 4 x The predicted sales for $1000 spending on advertising areIn a series of experiments the following data table for number of hits vs. trial was constructed. If a graph was created and the linear regression trendline was found to be y = 86.6x – 52. If you were to use this equation to predict the number of hits on Trial 6, what would the value be? Trial Number of Hits 1 38 2 100 3 240 4 280
