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- 1. Multiple Choice
Which of the following is not a characteristic of the least squares regression line?
The slope of the least squares regression line is always between 1 and -1
The least squares regression line always goes through the point (x-bar, y-bar)
The least squares regression line minimizes the sum of the squared residuals
The slope of The least squares regression line will always have the same sign as the correlation
The least squares regression line is not resistant to outliers
- 2. Multiple Choice
Using data from the 2009 LPGA Tour, a regression analysis was performed using x = average driving distance and y = scoring average. Using the output from the regression analysis shown below, determine the equation of the least squares regression line.
- 3. Multiple Choice
Measurements (in centimeters) on young children in Mumbai, India, found this least-squares line for predicting height y from arm span x:
By Looking at the equation of the least squares regression line, you can see that the correlation between height and arm span is
greater than zero
less than zero
0.93
6.4
Can't tell without seeing the data
- 4. Multiple Choice
Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from arm span x:
In addition to the regression line, the report on the Mumbai measurements says that . This suggests thatalthough arm span and height are correlated, arm span does not predict height very accurately
height increases by cm for each additional centimeter of arm span.
95% of the relationship between height and arm span is accounted for by the regression line
95% of the variation in height is accounted for by the regression line
95% of the height measurements are accounted for by the regression line.
- 5. Multiple Choice
Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from arm span x:
One child in the Mumbai study had height 59 cm and arm span 60 cm. This child's residual is
-3.2 cm
-2.2 cm
-1.3 cm
3.2 cm
62.2 cm
- 6. Multiple Choice
Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from arm span x:
Suppose that a tall child with arm span 120 cm and height 118 cm was added to the sample used in this study. What effect will adding this child have on the correlation and the slope of the least squares regression line?
Correlation will increase, slope will increase
Correlation will increase, slope will stay the same
Correlation will increase, slope will decrease
Correlation will stay the same, slope will stay the same
Correlation will stay the same, slope will increase.
- 7. Multiple Choice
Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from arm span x:
Suppose that the measurements of arm span and height were converted from cm to meters by dividing each measurement by 100. How will this conversion affect the values of r2 and s?
r2 will increase, s will increase
r2 will increase, s will stay the same
r2 will increase, s will decrease
r2 will stay the same, s will stay the same
r2 will stay the same, s will decrease
- 8. Multiple ChoiceA cell phone company charges $60.00 a month for up to 1 gigabyte computations. of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user’s monthly bill?c = 60 - 0.05dc = 60d - 0.05c = 60.05dc = 60 + 0.05d
- 9. Multiple ChoiceSome data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. The linear regression equation is:
Weight = 100 + 40(Time).
Which is the best description of the slope for this regression equation in context of the problem?The slope of the line of regression is the time since birth of the rate. It demonstrates the predicted weight of a laboratory rate after so many months since birth.The slope is 40 grams/week which means the mouse gains about 40 grams per week after birth.The slope is 40 and it means for every increase in weeks the graph will increase.The slope is 40, which tells us the line increases. - 10. Multiple ChoiceHow do you calculate a residual?Observed - PredictedPredicted - Observed
- 11. Multiple ChoiceThe table shown is comparing a person's foot length to their height in cm. Calculate the regression equationyhat = 25.05x + 5.57yhat = 5.57x + 25.05yhat = -5.57x + 25.05yhat = 5.57x - 25.05
- 12. Multiple ChoiceThe chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.yhat = 27541.812 + 839.721xyhat = -839.721 + 27541.812xyhat = 839.721 + 27541.812xyhat = -27541.812 + 839.721x
- 13. Multiple ChoiceWhich of the following statements about the slope of the least-squares regression line is true?It has the same sign as the correlation coefficient r.The square of the slope equals the proportion of the variation in the response variable that is explained by the explanatory variable.It is unitless.When the x-variable is 0, this is what the y-variable is predicted to be.
- 14. Multiple ChoiceOne of the following is a correct statement involving correlation. The other three contain blunders. Which one is correct?The correlation between the gas mileage of a car and its weight is r = -0.71 gallon-pounds.The correlation between GPA and hours of sleep per night is r = 1.06.There is a correlation of r = 0.54 between the position a football player plays and his or her weight.The correlation between amount of fertilizer and pounds of tomatoes harvested was found to be r = 0.33.
- 15. Multiple ChoiceIf you graphed height as the explanatory variable and weight as the response variable, what would happen to the LSRL and r if you had accidently graphed the weight as the explanatory variable and the height as the response variable?LSRL would be different and r would be differentLSRL would be different and r would stay the sameLSRL would stay the same and r would be differentLSRL would stay the same and r would stay the same
- Answer choicesTagsAnswer choicesTags