LSRL & Correlation coefficient
Describe the Association
Describe Slope and Y-Intercept
Make Predictions
Residuals
100
Look at the data below.
(-2, 0) (1, 7) (2, 9) (4, 15)
This is the least squares regression line (LSRL) for the data.
y = 2.47x + 4.67
100
This is the direction for the given scatterplot.
What is positive?
100
The linear regression equation for a data set is y = 3.2x-5, where y represents the number of hats sold by a baseball team each week and x represents the week number. This is what the slope of the equation represents.
What is 3.2 hats are sold per week?
100
The linear regression equation for a data set is y = 3.2x-5, where y represents the number of hats sold by a baseball team each week and x represents the week number. This is the number of hats the model predicts the store will sell in week eight.
What is 20.6 (or 20) hats?
100
The linear regression equation for a data set is y = 15x - 7 . The actual value at x = 2 is 20. This is the residual value at x= 2.
What is -3?
200
This is the slope for the Least Squares Regression Line
What is m = -0.5?
200
This is the shape, direction and strength of the data.
What is linear, negative, and strong?
200
The equation y = 12.3x + 19 describes the relationship between the number of years since 2000, x, and the average consumption of soda (in cans) per person, y. This is what the slope represents.
What is the slope represents the average person increases their soda consumption by 12.3 cans each year?
200
The least squares regression line for a data set is y = 0.25x + 3. This is the predicted value of y when x = 17.
What is 7.25?
200
The least squares regression line for a data set is y = 0.25x + 3. The actual value of y when x = 3 is 4. This is the residual when x = 3.
What is 0.25?
300
This is the correlation coefficient
What is r = -0.95?
300
This is the shape, direction and strength of the association of the data.
What is linear, negative and moderate?
300
The equation y = 12.3x + 19 describes the relationship between the number of years since 2000, x, and the average consumption of soda (in cans) per person, y. This is what the y-intercept represents.
What is the average person drank 19 cans of soda per year in 2000?
300
The equation y = 12.3x + 19 describes the relationship between the number of years since 2000, x, and the average consumption of soda (in cans) per person, y. This is the number of cans of soda the average person drank in 2004.
What is 68.2 cans of soda per year?
300
The linear regression equation for a data set is y = 3.2x-5, where y represents the number of hats sold by a baseball team each week and x represents the week number. In week 12, 36 hats were sold. This is the residual for the number of hats sold in week 12.
What is 2.6?
400
This is a reasonable correlation coefficient for the given scatterplot.
What is 0.7 or 0.8?
400
This is what the positive association represents in the graph represents in context.
What is as the height of the athlete increases, the weight increases as well?
400
Charlie collected data about the amount of meat in the patty and the cost of the hamburger. Using the data he created the following LSRL equation y = 0.253x + 0.735 where x represents the ounces in the patty and y represents the total cost of the burger
This what the slope and y-intercept represent in context.
What is
the slope represents that it costs about $0.25 per ounce of meat?
And the y-intercept represents the cost of a bun, tomato and lettuce?
400
The linear regression equation for a data set is y = 3.2x-5, where y represents the number of hats sold by a baseball team each week and x represents the week number. This is the week in which the LSRL predicts the store will sell in 14 hats.
What is week 6?
400
The linear regression equation for a data set is y = 3.2x-5, where y represents the number of hats sold by a baseball team each week and x represents the week number. This is what it means to have a negative residual in this problem.
What is a negative residual means that fewer hats were sold than the LSRL model predicted would be sold?
500
This is what a perfect correlation means about the data set. And these are the r-value(s) that represent a perfect correlation.
(2 part response)
What is All the data is on the regression line and 1 and -1 are a perfect correlation?
500
This is what the negative association represents in the graph represents in context.
What is the more kilometers run per week, the lower the weight is?
500
The following equation shows the total points (𝑝) scored in a season by individual basketball players based on 𝑡, the time each spent playing in minutes. 𝑝=−50+0.4t
This is what the slope and y-intercept represent in context.
What is
the slope is 0.4 points earned per minute playing?
the y-intercept means players must play 50 minutes before earning points?
500
The equation y = 12.3x + 19 describes the relationship between the number of years since 2000, x, and the average consumption of soda (in cans) per person, y. This is the year in which the line predicts that the average person drank 117 cans of soda per year.
What is 2008?
500
This is the explanation for how to find the residuals for a graph.
What is calculate the predicted y-value for a given x-value, then subtract the actual minus the predicted to determine the residual?