The appraisal of a warehouse can appear straightforward comparedto other appraisal assignments. A warehouse appraisal involvescomparing a building that is primarily an open shell to other suchbuildings. However, there are still a number of warehouseattributes that are plausibly related to appraised value. Considerthe accompanying data on truss height (ft), which determines howhigh stored goods can be stacked, and sale price ($) per squarefoot.

Height	12	14	14	15	15	16	18	22	22	24
Price	35.55	37.82	36.92	40.02	38.02	37.50	40.98	48.51	46.98	47.52

Height	24	26	26	27	28	30	30	33	36
Price	46.20	50.36	49.15	48.07	50.89	54.78	54.30	57.17	57.44

(a)

Estimate the true average change in sale price associated with aone-foot increase in truss height, and do so in a way that conveysinformation about the precision of estimation. (Use a 95% CI. Roundyour answers to three decimal places.)

$  , $

(b)

Estimate the true average sale price for all warehouses having atruss height of 25 ft, and do so in a way that conveys informationabout the precision of estimation. (Use a 95% CI. Round youranswers to three decimal places.)

  ,

dollars per square foot

(c)

Predict the sale price for a single warehouse whose truss heightis 25 ft, and do so in a way that conveys information about theprecision of prediction. (Use a 95% PI. Round your answers to threedecimal places.)

  ,

dollars per square foot

How does this prediction compare to the estimate of (b)?

The prediction interval is  ---Select--- the same assmaller than wider than the confidence interval in part (b).

(d)

Without calculating any intervals, how would the width of a 95%prediction interval for sale price when truss height is 25 ftcompare to the width of a 95% interval when height is 30 ft?Explain your reasoning.

Since 25 is  ---Select--- farther from nearer to themean than 30, a PI at 30 would be  ---Select--- widersmaller than the PI at 25.

(e)

Calculate the sample correlation coefficient. (Round your answerto three decimal places.)

Interpret the sample correlation coefficient.

There is a  ---Select--- weak strong correlationbetween the variables.

You may need to use the appropriate table in the Appendix ofTables to answer this question.