Residuals
Linear Equation
Slope
Y-intercept
Correlation
100
What is the variable for residuals in desmos?
e2
100
What is the equation for linear regression?
y1 ~ mx1 + b
100
In statistics, this is the symbol for the slope.
What is m?
100
In statistics, this is the symbol for the y-intercept.
What is b?
100
Describe a correlation of -0.9 in terms of strength (weak, moderate, or strong) and direction (positive or negative).
Strong, negative.
200
With an observed value of 25.8 and a predicted value of 45.9, what is the residual?
-20.1
200
P = 18.617 + 103.929c. This is the regression equation for disk space (c, in megabytes) versus Price at a local store. With a capacity of 2 mb, what would you expect the price to be?
$226.475
200
What is the slope from the following:
m = 0.57971
200
What is the y-intercept for the following:
b = 9.53623
200
What is the variable for correlation in desmos?
r
300
What does a negative residual indicate - where is the observed value in comparison to the predicted value?
The observed is below the predicted value.
300
What is the line of best fit for the following linear regression performed on this scatterplot?
y=1.30x + 3.81
300
Predicted Price = 18.617 + 103.929 Capacity. This is the regression equation for disk space Capacity (in megabytes) versus Price (in dollars) at a local store. What does the slope of 103.929 mean in this context?
For every 1 mb increase in capacity, the price increases by $103.929.
300
The linear model for a local store's Number of Sales people working versus Sales is as follows: s = 8,106 + 91.34n. What is the y-intercept?
8,106
300
A restaurant's menu items are compared in terms of correlation. Sugar vs. Calories have a correlation of 0.25. Sugar vs. Protein has a correlation of -0.68. Which has a stronger correlation?
Sugar vs. Protein.
400
How many boys age is more than 1 years different from the age predicted by the line of best fit for the data?
3 boys (Tyrone, Patrick, Bobby)
400
The linear model for a local store's Number of Sales people working (n) versus Sales (s) is as follows: S = 8,106 + 91.34n. With 14 people working, what would you expect sales to be?
$9,384.76
400
The linear model for a local store's Number of Sales people working (n) versus Sales (s) is as follows: s = 8,106 + 91.34n. What does the slope mean in this situation?
For every increase of 1 sales person working, sales increase by $91.34.
400
p = 18.617 + 103.929c. This is the regression equation for disk space Capacity (c) versus Price (p) at a local store. Does the y-intercept have meaning?
Yes, the initial price of the disk with no capacity. No, it doesn't make sense because no one would be a disk with no capacity.
400
A student says, "There was a very strong correlation of 1.22 between Sugar and Fat content." Explain the mistake made here.
Correlation is between -1 and +1.
500
The linear model for a local store's Number of Sales people working (N) versus Sales (S) is as follows: S = 8,106 + 91.34N. If two people are working, the observed value is $8600. What is the residual?
$311.32
500
What is the line of best fit for the following table?
y= 1.13x + 4.10
500
As the number of farms has decreased in the US, the average size of the remaining farms has grown larger, as shown in the table below:
What is the slope of the line of best fit?
m = 4.71795
500
As the number of farms has decreased in the US, the average size of the remaining farms has grown larger, as shown in the table below:
What is the y-intercept of the line of best fit?
b = 85.11026
500
Two variables produce a negative correlation. How will this affect the slope?
The slope will be negative.