C is for cabbage ~ A researcher wants to know if the head weight of the cabbage is a good predictor for ascorbic acid (vitamin C) content. From a random sample of 60 cabbages, the researcher recorded the ascorbic acid content in milligrams and the weight of the cabbage head in pounds. Head weight is the X variable and Ascorbic acid content is the Y variable in this scenario. R output Coefficients: t value Pr(>Itl) < 2e-16 *** 9.75e-09 *** Estimate Std. Error (Intercept) 77.574 HeadWeight 3.096 25.052 -7.567 1.131 -6.689 --- Residual standard error: 7.668 on 58 degrees of freedom Multiple R-squared: 0.4355, Adjusted R-squared: 0.4257 F-statistic: 44.74 on 1 and 58 DF, p-value: 9.753e-09 What is the lower bound for a 90% confidence interval for the true slope B1 of the regression line? Give your answer to 4 decimal places. Your Answer:

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Author:Amos Gilat
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C is for cabbage - A researcher wants to know if the head weight of the cabbage is a
good predictor for ascorbic acid (vitamin C) content. From a random sample of 60
cabbages, the researcher recorded the ascorbic acid content in milligrams and the
weight of the cabbage head in pounds.
Head weight is the X variable and Ascorbic acid content is the Y variable in this
scenario.
R output
Coefficients:
Estimate
Std. Error
t value
Pr(>ltl)
< 2e-16 ***
(Intercept) 77.574
HeadWeight -7.567
3.096
25.052
1.131
-6.689
9.75e-09 ***
---
Residual standard error: 7.668 on 58 degrees of freedom
Multiple R-squared: 0.4355, Adjusted R-squared: 0.4257
F-statistic: 44.74 on 1 and 58 DF, p-value: 9.753e-09
What is the lower bound for a 90% confidence interval for the true slope B1 of the
regression line? Give your answer to 4 decimal places.
Your Answer:
Answer
Transcribed Image Text:C is for cabbage - A researcher wants to know if the head weight of the cabbage is a good predictor for ascorbic acid (vitamin C) content. From a random sample of 60 cabbages, the researcher recorded the ascorbic acid content in milligrams and the weight of the cabbage head in pounds. Head weight is the X variable and Ascorbic acid content is the Y variable in this scenario. R output Coefficients: Estimate Std. Error t value Pr(>ltl) < 2e-16 *** (Intercept) 77.574 HeadWeight -7.567 3.096 25.052 1.131 -6.689 9.75e-09 *** --- Residual standard error: 7.668 on 58 degrees of freedom Multiple R-squared: 0.4355, Adjusted R-squared: 0.4257 F-statistic: 44.74 on 1 and 58 DF, p-value: 9.753e-09 What is the lower bound for a 90% confidence interval for the true slope B1 of the regression line? Give your answer to 4 decimal places. Your Answer: Answer
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