Section 10.3

Question #6

Listed below are altitudes (thousands of feet) and outside air temperatures (F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet).

Altitude	2	12	17	23	27	31	33
Temperature	59	31	25	9	31	41	51

a. Find the explained variation.

______________

(Round to two decimal places as needed.)

b.Find the unexplained variation.

_______________

(Round to five decimal places as needed.)

c.Find the indicated prediction interval.

_____________F < y < ____________ F

(Round to four decimal places as needed.)

Question #8

The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126.

Redshift	0.0231	0.0544	0.0716	0.0391	0.0443	0.0108
Distance	0.33	0.74	0.99	0.54	0.62	0.13

a. Find the explained variation.

______________

(Round to six decimal places as needed.)

b.Find the unexplained variation.

_______________

(Round to six decimal places as needed.)

c.Find the indicated prediction interval.

_____________billion light-years < y < ____________ billion light-years

(Round to three decimal places as needed.)

Question #9

The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with a diamond that weighs 0.8 carats.

Weight	0.3	0.4	0.5	0.5	1.0	0.7
Price	$514	$1156	$1350	$1400	$5667	$2285

a. Find the explained variation.

______________

(Round to the nearest whole number as needed.)

b.Find the unexplained variation.

_______________

(Round to the nearest whole number as needed.)

c.Find the indicated prediction interval.

$ _____________ < y < $ ____________

(Round to the nearest whole number as needed.)