{"id":2149,"date":"2022-01-27T01:29:25","date_gmt":"2022-01-27T01:29:25","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=2149"},"modified":"2022-02-10T00:03:28","modified_gmt":"2022-02-10T00:03:28","slug":"16c-d","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/16c-d\/","title":{"raw":"16C\/D","rendered":"16C\/D"},"content":{"raw":"
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Skill or Concept: I can . . .<\/td>\r\nQuestions to check your understanding<\/td>\r\nRating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n
Use technology to calculate a regression equation.<\/td>\r\n1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Calculate predictions from the regression line.<\/td>\r\n2<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Use technology to calculate confidence intervals for the mean response and prediction intervals for individuals.<\/td>\r\n3<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Identify the appropriate type of interval based on a given situation.<\/td>\r\n4<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Compare confidence and prediction intervals.<\/td>\r\n5<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\"Someone\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Exponent<\/strong><\/td>\r\nExponential expression<\/strong><\/td>\r\nEquivalent expression using multiplication and division<\/strong><\/td>\r\nEvaluated expression<\/strong><\/td>\r\n<\/tr>\r\n
4<\/td>\r\n<\/td>\r\n2 \u00a02 \u00a02 2<\/td>\r\n16<\/td>\r\n<\/tr>\r\n
3<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
2<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
0<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
2<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
3<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n
Original number<\/strong><\/td>\r\n1293<\/td>\r\n5<\/td>\r\n0<\/td>\r\n0.4<\/td>\r\n1<\/td>\r\n4.76<\/td>\r\n33<\/td>\r\n492.1<\/td>\r\n2084<\/td>\r\n<\/tr>\r\n
Number squared<\/strong><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Original number<\/strong><\/td>\r\nPositive square root of number<\/strong><\/td>\r\n<\/tr>\r\n
1293<\/td>\r\n<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
0<\/td>\r\n<\/td>\r\n<\/tr>\r\n
0.4<\/td>\r\n<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4.76<\/td>\r\n<\/td>\r\n<\/tr>\r\n
33<\/td>\r\n<\/td>\r\n<\/tr>\r\n
492.1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
2084<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Original number<\/td>\r\nBase 10 logarithm<\/td>\r\n<\/tr>\r\n
1293<\/td>\r\n<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
0<\/td>\r\n<\/td>\r\n<\/tr>\r\n
0.4<\/td>\r\n<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4.76<\/td>\r\n<\/td>\r\n<\/tr>\r\n
33<\/td>\r\n<\/td>\r\n<\/tr>\r\n
492.1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
2084<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n
Skill or Concept: I can . . .<\/td>\r\nQuestions to check your understanding<\/td>\r\nRating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n
Evaluate mathematical expressions by squaring numbers, taking the square roots of numbers, and taking the logarithms of numbers.<\/td>\r\n1, 6, 11<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Describe trends in what happens to numbers when you square them, take their square roots, and take their logarithms.<\/td>\r\n2\u20135, 7\u201310,\r\n\r\n12\u201315<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[caption id=\"attachment_2153\" align=\"alignnone\" width=\"831\"]\"A the labels have not transferred with the image[\/caption]\r\n\r\n\"Figurines \"A \"A \"A \"A \"A \"A \"A \"A \"A \"A \"A \"The \"The \"The\r\n\r\nGlossary 16C\r\n
\r\n \t
confidence interval for the mean response<\/dt>\r\n \t
a range of plausible values the mean value of the response variable takes when \ud835\udc65 = \ud835\udc650.<\/dd>\r\n<\/dl>\r\n
\r\n \t
\ud835\udc6a% prediction interval for an individual response<\/dt>\r\n \t
a range of plausible values of the response when an individual observation has a value of the explanatory variable equal to \ud835\udc650.<\/dd>\r\n<\/dl>\r\nGlossary 16D\r\n
\r\n \t
base<\/dt>\r\n \t
the number that is multiplied in an exponent.<\/dd>\r\n<\/dl>\r\n
\r\n \t
exponent<\/dt>\r\n \t
the number of times to multiply the base by itself.<\/dd>\r\n<\/dl>\r\n
\r\n \t
squaring<\/dt>\r\n \t
multiplying a number by itself once.<\/dd>\r\n<\/dl>\r\n
\r\n \t
cubing<\/dt>\r\n \t
multiplying a number by itself twice.<\/dd>\r\n<\/dl>\r\n
\r\n \t
unit fraction<\/dt>\r\n \t
a fraction whose numerator is 1 and whose denominator is a positive integer.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"
\n\n\n\n\n\n\n\n\n
Skill or Concept: I can . . .<\/td>\nQuestions to check your understanding<\/td>\nRating
\nfrom 1 to 5<\/td>\n<\/tr>\n
Use technology to calculate a regression equation.<\/td>\n1<\/td>\n<\/td>\n<\/tr>\n
Calculate predictions from the regression line.<\/td>\n2<\/td>\n<\/td>\n<\/tr>\n
Use technology to calculate confidence intervals for the mean response and prediction intervals for individuals.<\/td>\n3<\/td>\n<\/td>\n<\/tr>\n
Identify the appropriate type of interval based on a given situation.<\/td>\n4<\/td>\n<\/td>\n<\/tr>\n
Compare confidence and prediction intervals.<\/td>\n5<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"Someone<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n
Exponent<\/strong><\/td>\nExponential expression<\/strong><\/td>\nEquivalent expression using multiplication and division<\/strong><\/td>\nEvaluated expression<\/strong><\/td>\n<\/tr>\n
4<\/td>\n<\/td>\n2 \u00a02 \u00a02 2<\/td>\n16<\/td>\n<\/tr>\n
3<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
2<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
0<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
2<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
3<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
4<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n
Original number<\/strong><\/td>\n1293<\/td>\n5<\/td>\n0<\/td>\n0.4<\/td>\n1<\/td>\n4.76<\/td>\n33<\/td>\n492.1<\/td>\n2084<\/td>\n<\/tr>\n
Number squared<\/strong><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n\n\n\n\n
Original number<\/strong><\/td>\nPositive square root of number<\/strong><\/td>\n<\/tr>\n
1293<\/td>\n<\/td>\n<\/tr>\n
5<\/td>\n<\/td>\n<\/tr>\n
0<\/td>\n<\/td>\n<\/tr>\n
0.4<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\n<\/td>\n<\/tr>\n
4.76<\/td>\n<\/td>\n<\/tr>\n
33<\/td>\n<\/td>\n<\/tr>\n
492.1<\/td>\n<\/td>\n<\/tr>\n
2084<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n\n\n\n\n
Original number<\/td>\nBase 10 logarithm<\/td>\n<\/tr>\n
1293<\/td>\n<\/td>\n<\/tr>\n
5<\/td>\n<\/td>\n<\/tr>\n
0<\/td>\n<\/td>\n<\/tr>\n
0.4<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\n<\/td>\n<\/tr>\n
4.76<\/td>\n<\/td>\n<\/tr>\n
33<\/td>\n<\/td>\n<\/tr>\n
492.1<\/td>\n<\/td>\n<\/tr>\n
2084<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n
Skill or Concept: I can . . .<\/td>\nQuestions to check your understanding<\/td>\nRating
\nfrom 1 to 5<\/td>\n<\/tr>\n
Evaluate mathematical expressions by squaring numbers, taking the square roots of numbers, and taking the logarithms of numbers.<\/td>\n1, 6, 11<\/td>\n<\/td>\n<\/tr>\n
Describe trends in what happens to numbers when you square them, take their square roots, and take their logarithms.<\/td>\n2\u20135, 7\u201310,<\/p>\n

12\u201315<\/td>\n

<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\"A<\/p>\n

the labels have not transferred with the image<\/p>\n<\/div>\n

\"Figurines \"A \"A \"A \"A \"A \"A \"A \"A \"A \"A \"A \"The \"The \"The<\/p>\n

Glossary 16C<\/p>\n

\n
confidence interval for the mean response<\/dt>\n
a range of plausible values the mean value of the response variable takes when \ud835\udc65 = \ud835\udc650.<\/dd>\n<\/dl>\n
\n
\ud835\udc6a% prediction interval for an individual response<\/dt>\n
a range of plausible values of the response when an individual observation has a value of the explanatory variable equal to \ud835\udc650.<\/dd>\n<\/dl>\n

Glossary 16D<\/p>\n

\n
base<\/dt>\n
the number that is multiplied in an exponent.<\/dd>\n<\/dl>\n
\n
exponent<\/dt>\n
the number of times to multiply the base by itself.<\/dd>\n<\/dl>\n
\n
squaring<\/dt>\n
multiplying a number by itself once.<\/dd>\n<\/dl>\n
\n
cubing<\/dt>\n
multiplying a number by itself twice.<\/dd>\n<\/dl>\n
\n
unit fraction<\/dt>\n
a fraction whose numerator is 1 and whose denominator is a positive integer.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":57,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2149","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2149","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2149\/revisions"}],"predecessor-version":[{"id":2666,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2149\/revisions\/2666"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2149\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=2149"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=2149"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=2149"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=2149"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}