bxy is the regression coefficient of the regression equation
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ᴘʀᴏᴘᴇʀᴛɪᴇꜱ ᴏꜰ ʀᴇɢʀᴇꜱꜱɪᴏɴ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛ ᴀʀᴇ ᴛʜᴇ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛꜱ ᴏꜰ ᴛʜᴇ ɪɴᴅᴇᴘᴇɴᴅᴇɴᴛ ᴠᴀʀɪᴀʙʟᴇꜱ ɪɴ ᴛʜᴇ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴇQᴜᴀᴛɪᴏɴꜱ. 1. ᴛʜᴇ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛ ʙxʏ ɪꜱ ᴛʜᴇ ᴄʜᴀɴɢᴇ ᴏᴄᴄᴜʀʀɪɴɢ ɪɴ x ꜰᴏʀ ᴜɴɪᴛ ᴄʜᴀɴɢᴇ ɪɴ ʏ. ᴛʜᴇ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛ ʙʏx ɪꜱ ᴛʜᴇ ᴄʜᴀɴɢᴇ ᴏᴄᴄᴜʀʀɪɴɢ ɪɴ ʏ ꜰᴏʀ ᴜɴɪᴛ ᴄʜᴀɴɢᴇ ɪɴ x.
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ᴘʀᴏᴘᴇʀᴛɪᴇꜱ ᴏꜰ ʀᴇɢʀᴇꜱꜱɪᴏɴ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛ ᴀʀᴇ ᴛʜᴇ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛꜱ ᴏꜰ ᴛʜᴇ ɪɴᴅᴇᴘᴇɴᴅᴇɴᴛ ᴠᴀʀɪᴀʙʟᴇꜱ ɪɴ ᴛʜᴇ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴇQᴜᴀᴛɪᴏɴꜱ. 1. ᴛʜᴇ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛ ʙxʏ ɪꜱ ᴛʜᴇ ᴄʜᴀɴɢᴇ ᴏᴄᴄᴜʀʀɪɴɢ ɪɴ x ꜰᴏʀ ᴜɴɪᴛ ᴄʜᴀɴɢᴇ ɪɴ ʏ. ᴛʜᴇ ʀᴇɢʀᴇꜱꜱɪᴏɴ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛ ʙʏx ɪꜱ ᴛʜᴇ ᴄʜᴀɴɢᴇ ᴏᴄᴄᴜʀʀɪɴɢ ɪɴ ʏ ꜰᴏʀ ᴜɴɪᴛ ᴄʜᴀɴɢᴇ ɪɴ x.
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