Stats Section 2.1 and 2.2

Of the following, which is true of the correlation coefficient, r?

• The value of r does not depend on the units of y and x.

• r = 0 indicates a perfect correlation between x and y.

• r cannot be less than 0 or greater than 1.

• The value of r depends on which of two variables is labeled x.

The correlation between the heights of fathers and the heights of their (fully grown) sons is r = 0.52. This value was based on both variables being measured in inches. If fathers' heights were measured in feet (one foot equals 12 inches), and sons' heights were measured in furlongs (one furlong equals 7920 inches), the correlation between heights of fathers and heights of sons would be

• much smaller than 0.52

• slightly smaller than 0.52

• unchanged: equal to 0.52

• slightly larger than 0.52

• much larger than 0.52

All but one of the following statements contains an error. Which statement could be correct?

• There is a correlation of 0.54 between the position a football player plays and his weight.

• We found a correlation of r = –0.63 between gender and political party preference.

• The correlation between the distance travelled by a hiker and the time spent hiking is r = 0.9 meters per second.

• We found a high correlation between the height and age of children: r = 1.12.

• The correlation between mid-August soil moisture and the per-acre yield of tomatoes is r = 0.53.

What type of relationship does this graph have?

• Positive 

• Negative

• No Relationship

• Constant

Tags

CCSS.HSF-LE.A.1B

Describe the correlation coefficient if

r = 0.90

• Positive, weak

• Positive, strong

• Negative, weak

• Negative, strong

Describe the correlation, if the correlation coefficient is r = -0.26

• Positive, weak

• Negative, weak

• Positive, strong

• Negative, strong

The table shown is comparing a person's foot length to their height in cm. What is the response variable?

• Height

• Foot length

Which of the following statements is true about the standard deviation?

• It measures the central tendency of the data.

• It measures the spread of the data around the mean.

• It is the same as the range.

• It is unaffected by outliers.

Which of the following histograms best represents a data set with a normal distribution?

• A histogram with a single peak in the center and symmetrical tails.

• A histogram with two peaks.

• A histogram with a peak on the left and a long tail on the right.

• A histogram with a peak on the right and a long tail on the left.

Which of the following is NOT a component of a boxplot?

• Median

• Quartiles

• Mean

• Whiskers