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18 August, 11:58

Interpreting technology: The following display from the TI-84 Plus calculator presents the least-squares regression line for predicting the price of a certain stock y from the prime interest rate in percent x. LinReg = y+abx = a2.43958189 = b0.35528112 = r20.3718412098 = r0.60978784 Write the equation of the least-squares regression line.

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  1. 18 August, 12:41
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    Stock price=2.43958189+0.35528112 Interest rate

    Step-by-step explanation:

    The structure of linear regression equation is

    y=a+bx

    Where a=intercept,

    b=slope,

    y=dependent variable/response variable,

    and

    x=independent variable/explanatory variable.

    The given information shows that

    y=dependent variable/response variable=stock price,

    and

    x=independent variable/explanatory variable=interest rate.

    So, the regression equation that is to be estimated is

    stock price=a+b interest rate.

    The output shows that a=2.43958189 and b=0.35528112.

    Thus, the estimated equation of the least-squares regression line is

    Stock price=2.43958189+0.35528112 Interest rate
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