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{"ops":[{"attributes":{"bold":true},"insert":"The different interest rates charged by some financial institutions may reflect how stringent their standards are for their loan appraisals: the lower the rate, the higher the standards, and hence, the lower the default rate. The data below were collected from a sample of eight financial companies selected at random."},{"insert":"\n  "},{"attributes":{"bold":true},"insert":"Financial company"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"1"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"2"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"3"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"4"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"5"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"6"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"7"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"8"},{"insert":"\n   "},{"attributes":{"bold":true},"insert":"Interest rate (in %) x"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"7.0"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"6.6"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"6.0"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"8.5"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"8.0"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"7.5"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"6.5"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"7.0"},{"insert":"\n   "},{"attributes":{"bold":true},"insert":"Default rate (in 1000 loans) y"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"38"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"40"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"35"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"46"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"48"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"39"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"36"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"37"},{"insert":"\n  "},{"attributes":{"bold":true},"insert":"\u00a0"},{"insert":"\n"},{"attributes":{"bold":true},"insert":"a/\u00a0Find the least square regression line."},{"insert":"\n"},{"attributes":{"bold":true},"insert":"b/ Perform the test H"},{"attributes":{"bold":true,"script":"sub"},"insert":"0"},{"attributes":{"bold":true},"insert":": b"},{"attributes":{"bold":true,"script":"sub"},"insert":"1"},{"attributes":{"bold":true},"insert":" = 0, H"},{"attributes":{"bold":true,"script":"sub"},"insert":"A"},{"attributes":{"bold":true},"insert":": b"},{"attributes":{"bold":true,"script":"sub"},"insert":"1"},{"attributes":{"bold":true},"insert":" "},{"attributes":{"bold":true},"insert":{"katex":{"formula":"\\neq","isBlock":false}}},{"attributes":{"bold":true},"insert":" 0 (using \u03b1 = 0.05)\u00a0to\u00a0determine whether there is enough evidence to infer that a linear dependence exists between interest rate (x) and default rate (y)."},{"insert":"\n\n"}]}

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