Two variables have a positive linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
Two variables have a positive linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
Cannot determine from information given
Dependent variable would remain the same
Dependent variable increases
Dependent variable decreases
Question 2What does the variable r represent?
The critical value for the correlation coefficient
The sample correlation coefficient
The coefficient of determination
The population correlation coefficient
Question 3A golfer wants to determine if the type of driver she uses each year can be used to predict the amount of improvement in her game. Which variable would be the response variable?
The improvement in her game
The type of driver
The rating of the golfer
The number of holes she plays
Question 4What would be the notation for an estimate of y for a specific value of x?
yi
y?
?
b
Question 5Which of the following graphs displays the regression equation ?=-0.91x + 11.97
Scatter plot generally from upper left to lower right where y-intercept is estimated to be around 12
Scatter plot generally from upper left to lower right where y-intercept is estimated to be around 7
Scatter plot generally from lower left to upper right where y-intercept is estimated to be around 30
Scatter plot generally from lower left to upper right where y-intercept is estimated to be around 6
Question 6Find the regression equation for the following data set
x 142 167 143 189 175 174 134 155
y 20 80 72 69 44 59 51 63
? = 0.33x + 3.70
cannot be determined
? = -0.33x + 3.70
? = 0.33x – 3.70
Question 7A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ?=5.3x – 21.9. Use the regression equation to predict the value of y when x=56.
Meaningless result
1121.1
274.9
318.7
Question 8A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ?=0.06x + 14.2. Use the regression equation to predict the value of y when x=110.
21.34
20.80
Meaningless result
-7.6
Question 9A data set whose original x values ranged from 137 through 150 was used to generate a regression equation of ?=-4.5x + 51. Use the regression equation to predict the value of y when x=141.
-574.5
-685.5
-583.5
Meaningless result
Question 10If the linear correlation coefficient is -0.368, what is the value of the coefficient of determination?
0.736
-0.135
0.135
0.184
Question 11If the coefficient of determination is 0.497, what percentage of the variation in the data about the regression line is explained?
49.7%
50.3%
24.7%
50.0%
Question 12If the coefficient of determination is 0.394, what percentage of the variation in the data about the regression line is unexplained?
66.0%
60.6%
39.4%
15.5%
Question 13If the independent variables explained more than 50% of the variation in the dependent variables, which of the following would be true?
There are two dependent variables
The coefficient of determination is below 0.5
The coefficient of determination is above 0.5
There are two independent variables
Question 14The equation used to predict how tall a dog will be as an adult is ?=4.5 + 0.7×1 + 0.55×2, where x1 is the height of the mother and x2 is the height of the father. Use this equation to predict the height of a puppy whose mother is 42.8 inches tall and whose father is 47.1 inches tall.
61.01 inches
60.37 inches
44.95 inches
55.87 inches
Question 15The equation used to predict how long a cold will last is ?=-1.8 + 0.09×1 + 3.2×2 – 1.9×3, where x1
is person’s temperature on the first day, x2 is number of people seen each day, and x3 is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.8 degrees, an average of 3 people seen each day, and 6 hours of sleep.
5.8 days
7.3 days
5.5 days
8.7 days
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