You build a linear model to predict Calc2 grades from Cale1 grades. Residuals: Min: -17.674 1Q: -6.759 Median: 0.899 3Q: 6.725 Coefficients: Estimate Std. Error t value (Intercept) 11.866 12.6782 gradeCalc1 0.9581 0.4149 2.309 Residual standard error: 11.299 on 98 degrees of freedom Multiple R-squared: 8.98, Adjusted R-squared: 8.531 F-statistic: 50 on 1 and 98 DF, p-value: 2.290764244961E-10 Max: 15.674 Pr(>It) 0.1746 0.0105

MATLAB: An Introduction with Applications
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You build a linear model to predict Calc2 grades from Calc1 grades.
Residuals:
Min: -17.674
1Q: -6.759
Median: 0.899
3Q: 6.725
Coefficients:
Estimate
Std. Error
t value
(Intercept)
11.866
12.6782
gradeCalc1
0.9581
0.4149
2.309
Residual standard error: 11.299 on 98 degrees of freedom
Multiple R-squared: 8.98, Adjusted R-squared: 8.531
F-statistic: 50 on 1 and 98 DF, p-value: 2.290764244961E-10
Max: 15.674
Pr(>It|)
0.1746
0.0105
Transcribed Image Text:You build a linear model to predict Calc2 grades from Calc1 grades. Residuals: Min: -17.674 1Q: -6.759 Median: 0.899 3Q: 6.725 Coefficients: Estimate Std. Error t value (Intercept) 11.866 12.6782 gradeCalc1 0.9581 0.4149 2.309 Residual standard error: 11.299 on 98 degrees of freedom Multiple R-squared: 8.98, Adjusted R-squared: 8.531 F-statistic: 50 on 1 and 98 DF, p-value: 2.290764244961E-10 Max: 15.674 Pr(>It|) 0.1746 0.0105
1. Fill in the t-value (z-score) for the intercept.
2. A student got a grade of 71.4 in Calc1, and 71.9 in Calc2.
2a. What is the model's prediction for Calc2 grade for this student?
2b. What is the residual for this student's Calc2 grade?
3. Select the answer for each:
3a. True or false: Using 0.05 as the threshold, grade in Calc 1 is a significant factor for predicting grade
in calc 2.
False
3b. True or false: A majority (over 50%) of the variance in Calc 2 grade is explained by accounting for the
grade in calc 1.
True
OFalse
O True
Transcribed Image Text:1. Fill in the t-value (z-score) for the intercept. 2. A student got a grade of 71.4 in Calc1, and 71.9 in Calc2. 2a. What is the model's prediction for Calc2 grade for this student? 2b. What is the residual for this student's Calc2 grade? 3. Select the answer for each: 3a. True or false: Using 0.05 as the threshold, grade in Calc 1 is a significant factor for predicting grade in calc 2. False 3b. True or false: A majority (over 50%) of the variance in Calc 2 grade is explained by accounting for the grade in calc 1. True OFalse O True
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