Question

I submitted the question... see picture.
letter (d) x=50 calories

I predicted the value of y for x=50 to be 169.236
but I was told it's wrong

what is the answer?

Sta https://www.mathxl.com/Student/PlayerHomework.aspx?homework ld-5129545 58&questionld-3&flushed-false&icld-53098788back-DoAssignments.a... Q Applied Managerial Statistics-HERNANDEZ Homework: Week 2: Homework Score: 0 of 3 pts 9.2.21-T Find the equation of the regression ine for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation ) Then use the regression equation to predict the value of y for each of the Joan Bennani | 1/14/19 8:00 10 of 15 (9 complete) HW Score: 65%, 26 of Question Help given x-values, if meaningtul. The caloric content and the sodium content (in milligrams) for 6 beet hot dogs are shown in the table below alories, x Sodium, y 160 410 180 | 460 120 340 130 360 80 240 190 520 (a) x 170 calories (c) x = 150 calories (b) x (d) 90 calories 50 calories Find the regression equation. Round to three decimal places as needed) Enter your answer in the edi fields and then click Check Answer 9-08 PM emalning 吕t 0 Type hereto! search


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Answer #1

Solution: We can use excel to find the equation of the regression line. The excel output is given below:

SUMMARY OUTPUT Regression Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.989000653 0.978122292 0.972652865 16.21691343 ANOVA MS Significance F Regression Residual Total 147031.38021 47031.38021 178.8345092 0.000180813 4 1051.953125 262.9882813 5 48083.33333 Intercept Slope Coefficients Standord Error t Stat P-value Lower 95% Upper 95% Intercept Calories, x 51.8359375 2.347656250.175553238 13.37290205 0.000180813 1.860242323 2.835070177 01901929 1.992232564 0.117151365 -20.40444124 124.0763162

Therefore, the regression equation is:

y = 2.3482 51.836

Now to find the predicted value of x = 50, we have:

y = 2.348x 50 51.836

  169.236

It is the same answer that you have got, the reason for getting it wrong may be due to rounding. Please round your answer as per the requirement.

If you still get it wrong, please try to use the below equation:

y = 2.3476563 × 50 + 51.8359375

  169.219

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