Week seven statistics

Find the regression equation for the following data set x 7 8 5 9 4 10 9 6 7 8 y 4 2 8 3 7 9 3 5 6 3

-0.40x + 7.96

A data set whose original x values ranged from 137 through 150 was used to general a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=145.

-601.5

If the linear correlation coefficient is 0.661, what is the value of the coefficient of determination?

0.437

If the linear correlation coefficient is 0.681, what is the value of the coefficient of determination?

0.464

The equation used to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x1 + 0.85x2 days, where x1 is the distance to travel and x2 is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 224 miles away and weighs 2.2 pounds.

6.9 days

The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x1 + 3.2x2 - 1.9x3, where x1 is person's temperature on the first day, x2 is number of people seen each day, and x3 is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.

8.6 days

The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x1 + 3.2x2 - 1.9x3, where x1 is person's temperature on the first day, x2 is number of people seen each day, and x3 is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 101.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.

8.7 days

Two variables have a negative linear correlation. Does the dependent variable increase or decrease as the independent variable increases?

Dependent variable decreases

Two variables have a positive linear correlation. Where would the y-intercept of the regression line be located on the y-axis?

cannot determine

Which of the following graphs displays the regression equation of ŷ=-0.30x + 6.25

graph a with point 5 being above the regression line and line going down right

Which of the following graphs displays the regression equation of ŷ=-0.30x + 6.25

graph with data point above the regression line at 5

What would be the notation for the mean of the y values?

y̅

A data set whose original x values ranged from 137 through 150 was used to general a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=141

-583.5

If the linear correlation coefficient is -0.156, what is the value of the coefficient of determination?

0.024

Find the regression equation for the following data set x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7 9 7 4 6 9 9

0.17x + 5.48

Find the regression equation for the following data set x 143 167 143 189 122 174 134 155 y 60 80 72 69 44 59 51 63

0.33x + 12.16

If the linear correlation coefficient is -0.654, what is the value of the coefficient of determination?

0.428

If the coefficient of determination is 0.492, what percentage of the data about the regression line is explained?

24.2%

A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ŷ=5.3x - 21.9. Use the regression equation to predict the value of y when x=56.

274.9

If the coefficient of determination is 0.497, what percentage of the data about the regression line is explained?

49.7%

The equation used to predict how tall a dog will be as an adult is ŷ=4.5 + 0.7x1 + 0.55x2, where x1 is the height of the mother and x2 is the height of the father. Use this equation to predict the height of a puppy whose mother is 41.3 inches tall and whose father is 44.9 inches tall.

58.11 inches

If the coefficient of determination is 0.298, what percentage of the data about the regression line is unexplained?

70.2%

A baseball player wants to determine if the type of bat he uses each year can be used to predict the amount of improvement in his game. Which variable would be the explanatory variable?

A type of bat

A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=352.

Meaningless result

Two variables have a negative linear correlation. Is the slope of the regression line between these two variables positive or negative?

Negative. As one variable increases, so does the other

If the independent variables explained more than 50% of the variation in the dependent variables, which of the following would be true?

The coefficient of determination is above 0.5

A golfer wants to determine if the type of driver she uses each year can be used to predict the amount of improvement in her game. Which variable would be the response variable?

The improvement of her game

What does the variable ρ represent?

The population correlation coefficient

What does the variable µ represent?

The population mean

A value of the y-intercept of the regression line would be given the notation of:

b

A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=110.

meaningless result

A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ŷ=5.3x - 21.9. Use the regression equation to predict the value of y when x=81.

meaningless result

If there is a ^, or hat, above a variable, what does that mean?

thevalue is an estimate

Two variables have a negative non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases?

cannot determine from information given