PLEASE HELP FOR 100 POINTS
wrong answers will be reported
Question 1(Multiple Choice Worth 3 points)
(04.06 MC)
An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:
Enrollment Month
January February March April May June
Actual 120 140 150 140 150 130
Predicted 80 150 110 150 110 150
Residual 40 −10 40 −10 40 −20
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the residuals are all far from zero.
No, the equation is not a good fit because the sum of the residuals is a large number.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Question 2(Multiple Choice Worth 3 points)
(04.06 MC)
The table defines the observed data values and the corresponding predicted values, based on a line of fit.
Observed Predicted
9 8.81
10 10.41
13 10.41
13 13.61
15 13.61
25 24.81
26 26.41
30 29.61
How many negative residuals does the data set have? How many positive residuals does the data set have?
6 negative residuals and 2 positive residuals
5 negative residuals and 3 positive residuals
3 negative residuals and 5 positive residuals
2 negative residuals and 6 positive residuals
Question 3(Multiple Choice Worth 3 points)
(04.06 MC)
The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
−1.99; The regression line underpredicts the student's science test score.
1.99; The regression line overpredicts the student's science test score.
1.99; The regression line underpredicts the student's science test score.
−1.99; The regression line overpredicts the student's science test score.
Question 4(Multiple Choice Worth 3 points)
(04.06 MC)
Using a linear model, the predicted calories in soda based on grams of sugar are represented by the residual plot.
Residual plot with x-axis labeled sugar in grams and y-axis labeled residuals. There are eight points plotted: 10 and 8.64, 13 and 0.26, 16 and negative 5, 20 and negative 19.1, 23 and negative 19.34, 25 and negative 13.26, 29 and 3.9, and 31 and 14.98
What does the pattern in the residual plot indicate about the type of model?
The pattern is random, indicating a good fit for a nonlinear model.
The pattern shows the points are far from the zero line, indication a good fit for a linear model.
The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
The pattern is not random, indicating a good fit for a nonlinear model.
Question 5(Multiple Choice Worth 3 points)
(04.06 MC)
A line of fit was used to predict the values of ŷ in the table:
x y ŷ
3 12 6.5
7 9 8.5
9 16 9.5
10 14 10
12 5 11
15 24 12.5
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the residuals are all far from zero.
No, the equation is not a good fit because the sum of the residuals is a large number.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Question 6(Multiple Choice Worth 3 points)
(04.06 MC)
An equation was used to predict possible weights of puppies at six months of age. The actual weights of the puppies are also listed.
Actual weight (ounces) 9 15 16 20 20 26
Predicted weight (ounces) 9 12 15 18 21 24
What is the sum of the residuals?
0
7
9
26
Question 7(Multiple Choice Worth 3 points)
(04.06 MC)
If the line of best fit is y = 1.416x − 0.76, what is the residual value for the coordinate (4, 6)?
1.736
−1.736
1.096
−1.096
