Correlation Coefficient
r = -0.92 suggests this type of relationship (direction and strength).
Strong Negative or Negative Strong
This is the line drawn or created during the process of finding a linear regression.
Line of best fit
This is the order of subtraction for calculating a residual.
Actual minus predicted
This is the key difference between a linear regression and a multiple regression.
Using a regression model to predict a value within the range of the original data is called this.
Interpolation
r = -0.92
The points for a linear regression are on a specific graph called a ...
scatterplot
The coefficient of determination is always between these two numbers.
0 and 1
A model predicts salary using y=30000+2000(x1)+1500(x2), where (x1) is years of education and (x2) is years of experience. Predict the salary for someone with 4 years of education and 3 years of experience, using the model's units as given.
$42500
A model was built using ages 10–18. Predicting a value for age 21 is an example of which method?
Extrapolation
A correlation coefficient is equal to 1. This suggests that the points...
lie perfectly in a line, increasing.
A linear regression uses existing data to ...
A regression model has a coefficient of determination equal to 0.65. What percent of variation is NOT explained by natural variance.
35%
This method is often riskier when predicting outputs.
Extrapolation
A study on hours of smart phone screen time and grades suggest a relationship of -0.71. This means that as phone screen time increases ...
Grades mostly decrease
A student finds that data forms a curve. This is an example of a regression which is ...
non-linear.
The residual for a student's predicted score on a test, 91, is the value -6. What was the actual score on the test?
85
In a multiple regression model, the coefficient for experience is $1,500. Explain what this coefficient means when the other predictor variables are held constant.
Each year of experience increases the salary by $1500
A researcher finds that as more hot chocolate is purchased at the store, during the same months car accidents increase. The conditions outside is an example of this correlation reason.
Lurking Variable
The coefficient of determination is 0.81. This means the correlation coefficient is ...
0.9
Create a linear regression using the data:
(Carbs, Calories): (8, 120), (9.5, 138), (10, 147),
(6, 88), (7, 108), (4, 62)
y = 14.1x + 5.8
The correlation coefficient for a linear model is -0.6. This value represents the coefficient of determination.
0.36
The price of a storage shed can be calculated by the square footage and height above 12 feet: y = 20000 + 300(x1) + 400(x2), where x1 is the square footage and x2 is the height above 12 feet. How much square footage does a warehouse costing 56400 have with a height 10 feet above 12 have? (hint: y = 56400 and x2 = 10)
108 square feet
A study finds that teenagers who spend more time on social media tend to report higher levels of anxiety. The reverse type of correlation suggests...
Teens with anxiety turn to social media as a coping method.