APS: Unit 2- Linear Regression

Quiz
•
Mathematics
•
11th - 12th Grade
•
Medium
+2
Standards-aligned
Chaudra Wood
Used 129+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The scatterplot above shows the batting average and the number of home runs by each player on a summer baseball team. Which of the following best describes the plot?
possibly linear, very scattered
positive, linear, somewhat scattered
negative, linear, somewhat scattered
nonlinear, quadratic, somewhat scattered
nonlinear, exponential, very scattered
Tags
CCSS.8.F.A.3
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A scatterplot shows a linear association, and a residual plot for the linear regression shows no pattern. The regression yielded the information shown above. Which of the following is false?
The LSRL is a good linear model for this data.
The high R value means that it is reasonable to assume a cause-and-effect relationship between the two variables.
Because a new LSRL after removal of one of the points is
ŷ = 16.72 + 2.51x, the point that was removed can be considered an influential point.
For every unit increase in x, the predicted y-value will increase by approximately 2.701 units.
The association is strong and positive.
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Twenty types of beef hot dogs were tested for calories and sodium (mg). The hot dogs averaged 156.85 calories with a standard deviation of 22.64, and the sodium level averaged 401.15 mg with a standard deviation of 102.43 mg. The correlation was given as r = 0.887. The equation of the LSRL predicting sodium level from number of calories is:
ŷ = -228.30 + 4.01x
ŷ = 22.64 - 156.85x
ŷ = 102.43 - 401.15x
ŷ = 4.01 - 228.33x
ŷ = 78.19 + 0.196x
Tags
CCSS.HSS.ID.C.7
CCSS.HSS.ID.C.8
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Data that follow an exponential model in (x, y) can be re-expressed as a linear model if you plot:
(log x, y)
(x, log y)
(log x, log y)
(x, y2)
(x, √y)
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Use the scatterplot and computer printout shown above to answer the following question.
The correlation and coefficient of determination are:
-0.94 and 0.97
-0.94 and 0.89
-0.93 and 0.94
0.89 and 0.94
0.94 and -0.89
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Use the scatterplot and computer printout shown above to answer the following question.
Write the equation of the least squares regression line.
ŷ = -.050 + 0.07x
ŷ = -0.50 - 0.866x
ŷ = 8.66 - 0.50x
ŷ = 8.66 + 0.69x
ŷ = 12.55 - 6.81x
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Use the scatterplot and computer printout shown above to answer the following question.
Because of inflation, the cost per unit increases by 25 cents. The correlation for the revised data will be:
0.25 x original correlation.
0.25 + original correlation.
25 x original correlation.
25 + original correlation.
original correlation.
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