Homework Answers
since the upper right corner point is outlier and influential and other points appear to be scattered,
removing it will decrease correlation coefficient :
Correct option is (both increases and decrease)
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The following is a scatterplot for profits versus sales (in tens of thousands of dollars) for...
Question 12 2 pts If the point in the upper right corner of this scatterplot is...
Question 12 2 pts If the point in the upper right corner of this scatterplot is removed from the data set, then what will appen to the slope of the line of best fit (b) and to the correlation coefficient (r)? both will increase will decrease, and r will increase. h will decrease will remain the same. ncrease, and will decrease. If the point in the upper right corner of this scatterplot is removed fro (b) and to the correlation...
1) A scatterplot of sales per month (in thousands of dollars) vs. number of employees for...
1) A scatterplot of sales per month (in thousands of dollars) vs. number of employees for all the outlets of a large computer chain shows a relationship that is straight, with only moderate scatter and no outliers. The correlation between Sales and Employees is 0.85, and the equation of the least squares model is: Predicted Sales = 9.564 + 122.74 Employees a) What does the slope of 122.74 mean? b) What are the units of the slope? c) If the...
A large corporation is interested in whether advertising on TV has had an effect on sales...
A large
corporation is interested in whether advertising on TV has had an
effect on sales of their products. Data have been collected in
?=20n=20
different markets on the spend on TV advertising (?x,
measured in thousands of dollars) and product sales (?y,
measured in thousands of units).
The following
are useful summaries of the data:
A large corporation is interested in whether advertising on TV has had an effect on sales of their product: Data have been collected in...
4. (a) A random sample of 79 companies from the Forbes 500 list (which actually consists...
4. (a) A random sample of 79 companies from the Forbes 500 list (which actually consists of nearly 800 companies) was selected, and the relationship between sales (in hundreds of thousands of dollars) and profits (in hundreds of thousands of dollars) was investigated by regression. The following results were obtained from statistical software. R2 = 0.662 s = 466.2 Variable Parameter estimate Standard error Constant –176.644 61.16 Sales 0.092498 0.0075 Is there strong evidence of a straight-line relationship between sales...
The Correlation and Regression Applet allows you to animate the given figure. Click to create a...
The Correlation and Regression Applet allows you to animate the given figure. Click to create a group of 10 points in the lower-left corner of the scatterplot with a strong straight-line pattern (correlation approximately 0.9). Click the "Show least-squares line" box to display the regression line. Move the outlier down Subject 16 Removing Subject 16 moves the regression line only a little. and the least-squares line chases it down 20 40 60 80 100 20 40 Empathy score 60 80...
e that an animal's gestation period is related to the animal's lifespan? The scatterplot shows Gestation...
e that an animal's gestation period is related to the animal's lifespan? The scatterplot shows Gestation Period (in days) vs. Life Expectancy (in years) for 18 species of mammals. The highlighted point at the far right represents humans. Complete parts a through e 1300M 40 Lite Expectancy a) For these data, r0538. This is not a very strong relationship. Do you think the association would be stronger i humans were removed? Explain O A Stronger. Both slope and correlation would...
5. The following is a scatterplot of the selling price in dollars) of a house versus...
5. The following is a scatterplot of the selling price in dollars) of a house versus the living space (in square feet). Seng Price 500000 450000 400000 350000 300000 250000 200000 1000 1500 2000 2500 Living Area 3000 3500 Which of the following statements is false? There is a positive linear relationship between selling price and living area. The house that is around 1050 square feet sold for about $305,000. An increase in living area causes an increase in selling...
You build several models predicting job performance (sales dollars in thousands) using years of industry experience...
You build several models predicting job performance (sales dollars in thousands) using years of industry experience as a predictor. The slope of years of industry experience is .40 (p < .0001) for a simple linear regression and 60 (p<.0001) when including three other predictors (education level, SAT score, and age) in a multiple linear regression. Which of the following statements are correct (check all that apply)? Select one or more a. Holding education level, SAT score, and age constant, we...
8) (3 pts) Schlitz has been told that every thousand dollars added to the median household...
8) (3 pts) Schlitz has been told that every thousand dollars added to the median household income should increase the page cost by less than $750. She wishes to test whether the regression provides convincing evidence to reject this claim. Therefore, she should test a) H0: βINCOME = -0.750 versus Ha: βINCOME < -0.750 b) H0: βINCOME = 0.750 versus Ha: βINCOME < 0.750 c) H0: βINCOME = -0.750 versus Ha: βINCOME ≠ -0.750 d) H0: βINCOME = 0.750 versus...
The figure for this exercise is a scatterplot of average math test score versus percent of...
The figure for this exercise is a scatterplot of average math test score versus percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed with the following formula 600 575 550 525- 500 475 TO 20 30 40 5o 70 80 Percent taking test Average math = 575 - 1.11 (Percent took) a. From the choices below, the best interpretation of the estimated slope is... (there is just one correct...
Question 12 2 pts If the point in the upper right corner of this scatterplot is removed from the data set, then what will appen to the slope of the line of best fit (b) and to the correlation coefficient (r)? both will increase will decrease, and r will increase. h will decrease will remain the same. ncrease, and will decrease. If the point in the upper right corner of this scatterplot is removed fro (b) and to the correlation...
1) A scatterplot of sales per month (in thousands of dollars) vs. number of employees for all the outlets of a large computer chain shows a relationship that is straight, with only moderate scatter and no outliers. The correlation between Sales and Employees is 0.85, and the equation of the least squares model is: Predicted Sales = 9.564 + 122.74 Employees a) What does the slope of 122.74 mean? b) What are the units of the slope? c) If the...
A large
corporation is interested in whether advertising on TV has had an
effect on sales of their products. Data have been collected in
?=20n=20
different markets on the spend on TV advertising (?x,
measured in thousands of dollars) and product sales (?y,
measured in thousands of units).
The following
are useful summaries of the data:
A large corporation is interested in whether advertising on TV has had an effect on sales of their product: Data have been collected in...
The Correlation and Regression Applet allows you to animate the given figure. Click to create a group of 10 points in the lower-left corner of the scatterplot with a strong straight-line pattern (correlation approximately 0.9). Click the "Show least-squares line" box to display the regression line. Move the outlier down Subject 16 Removing Subject 16 moves the regression line only a little. and the least-squares line chases it down 20 40 60 80 100 20 40 Empathy score 60 80...
e that an animal's gestation period is related to the animal's lifespan? The scatterplot shows Gestation Period (in days) vs. Life Expectancy (in years) for 18 species of mammals. The highlighted point at the far right represents humans. Complete parts a through e 1300M 40 Lite Expectancy a) For these data, r0538. This is not a very strong relationship. Do you think the association would be stronger i humans were removed? Explain O A Stronger. Both slope and correlation would...
5. The following is a scatterplot of the selling price in dollars) of a house versus the living space (in square feet). Seng Price 500000 450000 400000 350000 300000 250000 200000 1000 1500 2000 2500 Living Area 3000 3500 Which of the following statements is false? There is a positive linear relationship between selling price and living area. The house that is around 1050 square feet sold for about $305,000. An increase in living area causes an increase in selling...
You build several models predicting job performance (sales dollars in thousands) using years of industry experience as a predictor. The slope of years of industry experience is .40 (p < .0001) for a simple linear regression and 60 (p<.0001) when including three other predictors (education level, SAT score, and age) in a multiple linear regression. Which of the following statements are correct (check all that apply)? Select one or more a. Holding education level, SAT score, and age constant, we...
The figure for this exercise is a scatterplot of average math test score versus percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed with the following formula 600 575 550 525- 500 475 TO 20 30 40 5o 70 80 Percent taking test Average math = 575 - 1.11 (Percent took) a. From the choices below, the best interpretation of the estimated slope is... (there is just one correct...
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