Project #69271 - stats

NO HIGHLIGHTS PLEASE! see attachment for graphs:

 

1. The formula for a regression equation is Y’ = 2X + 9.

a. What would be the predicted score for a person scoring 6 on X?

b. If someone’s predicted score was 14, what was this person’s score on X?

 

2. For the X,Y data below, compute:

a. r and determine if it is significantly different from zero.

b. the slope of the regression line and test if it differs significantly from zero. c. the 95% confidence interval for the slope.

 

􏰵􏰁􏰂􏰶􏰈􏰌􏰂􏰆􏰄􏰉􏰂􏰷􏰣􏰳􏰂􏰇􏰅􏰆􏰅􏰂􏰨􏰉􏰓􏰈􏰙􏰣􏰂􏰖􏰈􏰏􏰘􏰐􏰆􏰉􏰚􏰂 􏰅􏰁􏰂􏰌􏰂􏰅􏰋􏰇􏰂􏰇􏰉􏰆􏰉􏰌􏰏􏰒􏰋􏰉􏰂􏰒􏰍􏰂􏰒􏰆􏰂􏰒􏰊􏰂􏰊􏰒􏰞􏰋􏰒􏰸􏰖􏰅􏰋􏰆􏰓􏰗􏰂􏰇􏰒􏰩􏰉􏰌􏰉􏰋􏰆􏰂􏰍􏰌􏰈􏰏􏰂􏰹􏰉􏰌􏰈􏰁 􏰨􏰁􏰂􏰆􏰄􏰉􏰂􏰺􏰻􏰫􏰂􏰖􏰈􏰋􏰸􏰇􏰉􏰋􏰖􏰉􏰂􏰒􏰋􏰆􏰉􏰌􏰟􏰅􏰓􏰂􏰍􏰈􏰌􏰂􏰆􏰄􏰉􏰂􏰊􏰓􏰈􏰘􏰉􏰁

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􏰥􏰢􏰂

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􏰡􏰥􏰡􏰥􏰡􏰏􏰥􏰝􏰃􏰈􏰨􏰃􏰦􏰐􏰥􏰃􏰘􏰖􏰖􏰃􏰠􏰭􏰂􏰌􏰥􏰏􏰦􏰠􏰃􏰣􏰡􏰃􏰦􏰐􏰥􏰃􏰠􏰦􏰭􏰢􏰟􏰃􏰱􏰐􏰞􏰃􏰱􏰥􏰤􏰥􏰃􏰣􏰡􏰏􏰞􏰡􏰳􏰡􏰥􏰡􏰦􏰯􏰃􏰔􏰔􏰘􏰃􏰱􏰥􏰤􏰥􏰃􏰠􏰧􏰞􏰋􏰥􏰤􏰠􏰯􏰃􏰚􏰔􏰃􏰱􏰥􏰤􏰥􏰃

3. At a school pep rally, a group of sophomore students organized a free raffle for

􏰨􏰞􏰤􏰧􏰥􏰤􏰃􏰠􏰧􏰞􏰋􏰥􏰤􏰠􏰯􏰃􏰅􏰡􏰢􏰃􏰔􏰚􏰙􏰃􏰐􏰅􏰢􏰃􏰡􏰥􏰩􏰥􏰤􏰃􏰠􏰧􏰞􏰋􏰥􏰢􏰝􏰃􏰈􏰨􏰃􏰦􏰐􏰥􏰃􏰖􏰙􏰗􏰃􏰏􏰞􏰡􏰦􏰤􏰞􏰓􏰃􏰠􏰭􏰂􏰌􏰥􏰏􏰦􏰠􏰃􏰱􏰐􏰞􏰃􏰱􏰥􏰤􏰥􏰃􏰡􏰞􏰦􏰃􏰣􏰡􏰴

prizes. They claim that they put the names of all of the students in the school in

􏰏􏰞􏰡􏰳􏰡􏰥􏰡􏰦􏰯􏰃􏰛􏰙􏰃􏰱􏰥􏰤􏰥􏰃􏰠􏰧􏰞􏰋􏰥􏰤􏰠􏰯􏰃􏰖􏰘􏰃􏰱􏰥􏰤􏰥􏰃􏰨􏰞􏰤􏰧􏰥􏰤􏰃􏰠􏰧􏰞􏰋􏰥􏰤􏰠􏰯􏰃􏰅􏰡􏰢􏰃􏰔􏰕􏰘􏰃􏰐􏰅􏰢􏰃􏰡􏰥􏰩􏰥􏰤􏰃􏰠􏰧􏰞􏰋􏰥􏰢􏰝􏰃

the basket and that they randomly drew 36 names out of this basket. Of the prize

􏰅􏰝􏰃􏰁􏰤􏰥􏰅􏰦􏰥􏰃􏰅􏰃􏰦􏰅􏰂􏰓􏰥􏰃􏰢􏰣􏰠􏰰􏰓􏰅􏰟􏰣􏰡􏰑􏰃􏰦􏰐􏰣􏰠􏰃􏰢􏰅􏰦􏰅􏰝􏰃

winners, 6 were freshmen, 14 were sophomores, 9 were juniors, and 7 were

􏰂􏰝􏰃􏰀􏰐􏰅􏰦􏰃􏰣􏰠􏰃􏰦􏰐􏰥􏰃􏰥􏰲􏰰􏰥􏰏􏰦􏰥􏰢􏰃􏰨􏰤􏰥􏰬􏰭􏰥􏰡􏰏􏰟􏰃􏰣􏰡􏰃􏰥􏰅􏰏􏰐􏰃􏰏􏰥􏰓􏰓􏰪􏰃

seniors. The results do not seem that random to you. You think it is a little fishy t􏰏h􏰝􏰃a􏰁t􏰞s􏰡o􏰢p􏰭h􏰏o􏰦m􏰃􏰅o􏰃􏰠r􏰣e􏰑s􏰡o􏰣􏰒r􏰏g􏰅a􏰡n􏰏iz􏰥e􏰃􏰦d􏰥t􏰠h􏰦􏰃e􏰦􏰞r􏰃a􏰠f􏰥fl􏰥e􏰃􏰣a􏰨􏰃n􏰦􏰐d􏰥a􏰤l􏰥s􏰃o􏰣􏰠w􏰃􏰅o􏰃􏰤n􏰥􏰓t􏰅h􏰳e􏰞m􏰡􏰠o􏰐s􏰣t􏰰p􏰃􏰂ri􏰥z􏰦e􏰱s.􏰥Y􏰥􏰡o􏰃u􏰠r􏰧s􏰞c􏰋h􏰣o􏰡o􏰑l􏰃􏰅is􏰡􏰢􏰃􏰣􏰡􏰏􏰞􏰡􏰳􏰴 co􏰡m􏰥p􏰡o􏰏s􏰥e􏰝d􏰃􏰀o􏰐f 􏰅3􏰦0􏰃􏰁%􏰐􏰣f􏰃􏰄re􏰬s􏰭h􏰅m􏰤􏰥e􏰃n􏰩,􏰅2􏰓􏰭5􏰥%􏰃􏰢􏰞so􏰃􏰟p􏰞h􏰭o􏰃m􏰑􏰥o􏰦r􏰪e􏰃􏰀s, 􏰐2􏰅5􏰦%􏰃􏰰􏰃j􏰩u􏰅n􏰓i􏰭o􏰥r􏰃s􏰢, 􏰞a􏰃n􏰟d􏰞􏰭2􏰃0􏰑%􏰥􏰦􏰪s􏰃eniors.

􏰢􏰝􏰃􏰀􏰐􏰅􏰦􏰃􏰢􏰞􏰃􏰟􏰞􏰭􏰃􏰏􏰞􏰡􏰏􏰓􏰭􏰢􏰥􏰪􏰃

a. What are the expected frequencies of winners from each class?

b. Conduct a significance test to determine whether the winners of the prizes

􏰫􏰝􏰃􏰉􏰦􏰃􏰅􏰃􏰠􏰏􏰐􏰞􏰞􏰓􏰃􏰰􏰥􏰰􏰃􏰤􏰅􏰓􏰓􏰟􏰯􏰃􏰅􏰃􏰑􏰤􏰞􏰭􏰰􏰃􏰞􏰨􏰃􏰠􏰞􏰰􏰐􏰞􏰧􏰞􏰤􏰥􏰃􏰠􏰦􏰭􏰢􏰥􏰡􏰦􏰠􏰃􏰞􏰤􏰑􏰅􏰡􏰣􏰵􏰥􏰢􏰃􏰅􏰃􏰨􏰤􏰥􏰥􏰃􏰤􏰅􏰍􏰥􏰃􏰨􏰞􏰤􏰃􏰰􏰤􏰣􏰵􏰥􏰠􏰝􏰃􏰊􏰐􏰥􏰟􏰃

were distributed throughout the classes as would be expected based on the

􏰏􏰓􏰅􏰣􏰧􏰃􏰦􏰐􏰅􏰦􏰃􏰦􏰐􏰥􏰟􏰃􏰰􏰭􏰦􏰃􏰦􏰐􏰥􏰃􏰡􏰅􏰧􏰥􏰠􏰃􏰞􏰨􏰃􏰅􏰓􏰓􏰃􏰞􏰨􏰃􏰦􏰐􏰥􏰃􏰠􏰦􏰭􏰢􏰥􏰡􏰦􏰠􏰃􏰣􏰡􏰃􏰦􏰐􏰥􏰃􏰠􏰏􏰐􏰞􏰞􏰓􏰃􏰣􏰡􏰃􏰦􏰐􏰥􏰃􏰂􏰅􏰠􏰋􏰥􏰦􏰃􏰅􏰡􏰢􏰃􏰦􏰐􏰅􏰦􏰃􏰦􏰐􏰥􏰟􏰃

percentage of students in each group. Report your Chi Square and p values.

􏰤􏰅􏰡􏰢􏰞􏰧􏰓􏰟􏰃􏰢􏰤􏰥􏰱􏰃􏰘􏰛􏰃􏰡􏰅􏰧􏰥􏰠􏰃􏰞􏰭􏰦􏰃􏰞􏰨􏰃􏰦􏰐􏰣􏰠􏰃􏰂􏰅􏰠􏰋􏰥􏰦􏰝􏰃􏰈􏰨􏰃􏰦􏰐􏰥􏰃􏰰􏰤􏰣􏰵􏰥􏰃􏰱􏰣􏰡􏰡􏰥􏰤􏰠􏰯􏰃􏰛􏰃􏰱􏰥􏰤􏰥􏰃􏰨􏰤􏰥􏰠􏰐􏰧􏰥􏰡􏰯􏰃􏰔􏰗􏰃􏰱􏰥􏰤􏰥􏰃 c􏰠.􏰞W􏰰􏰐h􏰞a􏰧t d􏰞o􏰤􏰥 y􏰠o􏰯􏰃u 􏰕􏰃c􏰱o􏰥n􏰤c􏰥l􏰃u􏰌􏰭d􏰡e?􏰣􏰞􏰤􏰠􏰯

 

4. 

A geologist collects hand-specimen sized pieces of limestone from a particular

􏰛􏰼􏰸􏰃􏰉􏰃􏰌􏰍􏰬􏰡􏰬􏰌􏰓􏰳􏰹􏰃􏰎􏰬􏰡􏰡􏰍􏰎􏰹􏰳􏰃􏰋􏰥􏰰􏰒􏰜􏰳􏰤􏰍􏰎􏰓􏰞􏰍􏰰􏰃􏰳􏰓􏰺􏰍􏰒􏰃􏰤􏰓􏰍􏰎􏰍􏰳􏰃􏰬􏰑􏰃􏰡􏰓􏰞􏰍􏰳􏰹􏰬􏰰􏰍􏰃􏰑􏰦􏰬􏰞􏰃􏰥􏰃􏰤􏰥􏰦􏰶􏰎􏰩􏰡􏰥􏰦􏰃􏰥􏰦􏰍􏰥􏰸􏰃􏰉􏰃

area. A qualitative assessment of both texture and color is made with the

􏰰􏰹􏰂􏰋􏰣􏰠􏰂􏰦􏰶􏰨􏰃􏰂􏰤􏰤􏰨􏰤􏰤􏰓􏰨􏰧􏰠􏰃􏰡􏰎􏰃􏰏􏰡􏰠􏰐􏰃􏰠􏰨􏰩􏰠􏰹􏰬􏰨􏰃􏰂􏰧􏰥􏰃􏰢􏰡􏰋􏰡􏰬􏰃􏰣􏰤􏰃􏰓􏰂􏰥􏰨􏰃􏰭􏰣􏰠􏰐􏰃􏰠􏰐􏰨􏰃􏰎􏰡􏰋􏰋􏰡􏰭􏰣􏰧􏰑􏰃􏰬􏰨􏰤􏰹􏰋􏰠􏰤􏰪􏰃􏰄􏰤􏰃􏰠

following results. Is there evidence of association between color and texture for

􏰨􏰶􏰣􏰥􏰨􏰧􏰢􏰨􏰃􏰡􏰎􏰃􏰂􏰤􏰤􏰡􏰢􏰣􏰂􏰦􏰡􏰧􏰃􏰏􏰨􏰠􏰭􏰨􏰨􏰧􏰃􏰢􏰡􏰋􏰡􏰬􏰃􏰂􏰧􏰥􏰃􏰠􏰨􏰩􏰠􏰹􏰬􏰨􏰃􏰎􏰡􏰬􏰃􏰠􏰐􏰨􏰤􏰨􏰃􏰋􏰣􏰓􏰨􏰤􏰠􏰡􏰧􏰨􏰤􏰵􏰃􏰈􏰩􏰞􏰋􏰂􏰣􏰧􏰃􏰱􏰡􏰹􏰬􏰃􏰂 thes􏰰e 􏰹l􏰂i􏰋m􏰣􏰠􏰂e􏰦st􏰶o􏰨n􏰃􏰂e􏰤s􏰤?􏰨􏰤E􏰤x􏰓p􏰨l􏰧a􏰠i􏰃n􏰡􏰎 y􏰃􏰏o􏰡u􏰠r􏰐 a􏰃􏰠n􏰨s􏰩w􏰠􏰹e􏰬r􏰨.􏰃􏰂􏰧􏰥􏰃􏰢􏰡􏰋􏰡􏰬􏰃􏰣􏰤􏰃􏰓􏰂􏰥􏰨􏰃􏰭􏰣􏰠􏰐􏰃􏰠􏰐􏰨􏰃􏰎􏰡􏰋􏰋􏰡􏰭􏰣􏰧􏰑􏰃􏰬􏰨􏰤􏰹􏰋􏰠􏰤􏰪􏰃􏰄􏰤􏰃􏰠􏰐􏰨􏰬􏰨􏰃

 

􏰤􏰭􏰨􏰬􏰪􏰃

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