WorksheetsRegressions Practice Quiz
Total questions: 20
Worksheet time: 40mins
The coefficient of determination tells us:
The correlation and all the things that go with it.
The answer to the question being asked.
The percentage of data that is on the line of best fit.
The equation to the line of best fit.
A study compared the number of years of education and a person's annual salary. The correlation coefficient of the data was r = 0.913. What is the coefficient of determination?
0.834
0.887
0.457
0.913
If the coefficient of determination is 0.876, what percent of the variation is explained?
56%
-67%
88%
-87.6%
If the coefficient of determination is 0.876, what percent of the variation is unexplained?
56%
12%
88%
-12%
If x is temperature and y is coffee sales, use the following linear model to determine the coffee sales in a 34° day.
y=6443−60x
$8483
$4403
$4673
$6443
Residuals are . . .
possible models not explored by the researcher
variation in the response variable that is explained by the model
the difference between the observed response and the values predicted by the model
data collected from individuals that is not consistent with the rest of the group
Shown is a residual plot. Would a linear regression model of the data be most appropriate?
Hint: are the point basically balanced over the x axis?
Yes
No
Shown is a residual plot. Would a linear regression model of the data be most appropriate?
Yes
No
A scatter plot and residual plot are the same thing.
True
False
Find the linear regression model for this data set. What is the best equation?
y =11.7313x−193.852
y =11.7313x+193.852
y =11.7313+193.852x
y =193.852x−11.7313
Using the linear regression model for this data set. What is the residual for the point (31, 560)? (round to nearest hundredth)
-15.79
2.48
-7.52
12.87
Using the linear regression model for this data set. Use the model to predict the number of calories for an item with 45 grams of fat. Round to the nearest whole number.
663
772
807
792
Determine the linear regression model for this data set. What is the equation for the best fit line?
y =59.7403+3.24675x
y =59.7403x−3.24675
y =3.24675−59.7403x
y =59.7403x+3.24675
Determine the linear regression model for this data set. What is the residual for the point (6, 368)? Round to the nearest hundredth.
-2.21
6.31
-2.91
-0.73
Determine the linear regression model for this data set. Use the equation to predict how many words this student can type in 20 minutes.
2500 words
1198 words
1171 words
1162 words
After performing analyses on a set of data, Mrs. Sky examined the scatter plot of the residual values for each analysis. Which graph id residuals indicated the best linear fit for the data?
A
B
C
What is the line of best fit?
f(x)= 5x+1.82
f(x)= 1.82x + 5.02
f(x)= 1.1x + 4.2
cannot be determined
Using a linear regression to find y when x is 30 is an example of .........?
Interpolation
Extrapolation
Residuals
Estimating
The linear regression equation for the data is y = 1.5x + 12. Interpret the slope of the equation.
The slope is (0, 1.5). It means that a pizza with 0 toppings will cost $1.50.
The slope is 1.5. It means that it costs $1.50 per topping.
There are 1.5 toppings.
There are 1.5 pizzas.
The linear regression equation for the data is y = 1.5x + 12. If Toby ordered a pizza that had 3 more toppings than the pizza that Myra ordered, how much would Toby's pizza cost differ from Myra's pizza cost?
Tobby's pizza would cost $16.50 more than Myra's.
Tobby's pizza would cost $4.50 more than Myra's
Tobby's pizza would cost $16.50 less than Myra's
Tobby's pizza would cost $4.50 less than Myra's.
