The coefficient of determination is represented by what notation?
The coefficient of determination is represented by what notation?
r
β
ρ
r2
Question 2(CO 6) Two variables have a negative linear correlation. Does the independent variable increase or decrease as the dependent variable increases?
Independent variable decrease
Independent variable would remain the same
Cannot determine from information given
Independent variable increases
Question 3(CO 6) Find the regression equation for the following data set
x 245 287 198 189 176 266 210 155
y 50 80 110 78 44 57 51 44
? = 45.69x – 0.69
? = 0.09x + 45.69
? = 45.69x + 0.09
cannot be determined
Question 4(CO 6) A student wants to determine if a higher quality diet will improve their grade point average. Which variable would be the response variable?
The student
Their GPA
The higher quality diet
The number of classes taken
Question 5(CO 6) A value of the slope of the regression line would be given the notation of:
m
r
r2
b
Question 6(CO 6) A scatter plot generally shows the dots going from low y values and low x values, to high y values and high x values. Is the slope of the regression line between these two variables positive or negative?
Positive. As one variable increases, the other decreases
Negative. As one variable increases, the other decreases
Positive. As one variable increases, so does the other
Negative. As one variable increases, so does the other
Question 7(CO 6) If there is a (-), or bar, above a variable, what does that indicate?
the value is the standard deviation
the value is an estimate
the value is the mean
the value is an outlier
Question 8(CO 6) Find the regression equation for the following data set
x 7 8 5 9 4 10 2
y 4 12 8 3 7 9 3
? = 0.39x + 4.08
? = -0.40x – 4.80
? = 0.40x + 4.08
? = 0.39x – 4.80
Question 9(CO 6) A data set whose original x values ranged from 28 through 49 was used to generate a regression equation of ? = 2.9x – 34.7. Use the regression equation to predict the value of y when x=24.
51.2
Meaningless result
34.9
91.2
Question 10(CO 6) A data set whose original x values ranged from 241 through 290 was used to generate a regression equation of ? = -0.06x + 9.8. Use the regression equation to predict the value of y when x=240.
24.2
4.6
-4.6
Meaningless result
Question 11(CO 6) A data set whose original x values ranged from 38 through 65 was used to general a regression equation of ? = -4.4x + 2.6. Use the regression equation to predict the value of y when x=62.
-275.4
-270.2
Meaningless result
275.4
Question 12
(CO 6) If the linear correlation coefficient is 0.822, what is the value of the coefficient of determination?
-0.676
0.907
-0.907
0.676
Question 13(CO 6) If the linear correlation coefficient is -0.256, what is the value of the coefficient of determination?
0.512
-0.512
0.066
-0.066
Question 14(CO 6) If the coefficient of determination is 0.792, what percentage of the data about the regression line is explained?
20.8%
30.8%
30.2%
79.2%
Question 15(CO 6) If the coefficient of determination is 0.618, what percentage of the data about the regression line is unexplained?
68.1%
30.2%
38.2%
61.8%
Question 16(CO 6) If the explanatory variables explained more than 20% of the variation in the response variables, which of the following would be true?
There are two explanatory variables
The coefficient of determination is below 0.2
The coefficient of determination is above 0.2
There are two response variables
Question 17(CO 6) The equation used to predict how tall a kitten will be as an adult is ? = 4.5 + 0.6×1 + 0.3×2, where x1 is the height of the sibling and x2 is the height of the mother. Use this equation to predict the height of a kitten whose sibling is 41.8 inches tall and whose mother is 49.2 inches tall.
46.56 inches
44.95 inches
56.44 inches
44.34 inches
Question 18(CO 6) The equation used to predict how many days it takes a 15-year old to read the first Harry Potter book is ? = 1.5 + 2.82×1 – 1.04×2 days, where x1 is the weekly hours of other activities and x2 is the reading grade level. Use this equation to predict how many days it will take to read this book for someone with 9.3 weekly hours of other activities and a 10.2 reading grade level.
16.43 days
18.52 days
20.59 days
17.12 days
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