Question

In: Math

1.Two variables have a positive non-linear correlation. Does the dependent variable increase or decrease as the...

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

A. Dependent variable would remain the same

B. Dependent variable increases

C. Cannot determine from information given

D. Dependent variable decreases

2. What does the variable ρ represent?

A. The critical value for the correlation coefficient

B. The population correlation coefficient

C. The sample correlation coefficient

D. The coefficient of determination

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

A. the value is an estimate

B. the value is the mean

C. the value is the standard deviation

D. the value is an outlier

4.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=119.

A. Meaningless result

B. -7.06

C. 21.40

D. 21.34

5.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=139.

A. Meaningless result

B. -574.5

C. -547.5

D. 574.5

6.A regression equation can have more than one ____________ .

A. Dependent variable

B. Coefficient of determination

C. Independent variable

D. Correlation coefficient

7.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.

A. 8.6 days

B. 7.0 days

C. 12.3 days

D. 10.5 days

Solutions

Expert Solution

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

C. Cannot determine from information given

2. What does the variable ρ represent?

B. The population correlation coefficient

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

A. the value is an estimate

4.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=119.

ŷ=0.06*119 + 14.2 = 21.34

D. 21.34

5.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=139.

ŷ=-4.5*139 + 51

B. -574.5

6.A regression equation can have more than one ____________ .

C. Independent variable

7.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.

ŷ=-1.8 + 0.09x1 + 3.2x2 – 1.9x3

A. 8.6 days


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