A linear regression was performed on a resistorwhere the voltage (X) was varied

Question

A linear regression was performed on a resistorwhere the voltage (X) was varied and current (Y) was measured. The results from the linear regression in MATLAB are below. Linear regression model ; y n 1 + x1 Estimated coefficients: Estimate SE tStat pValue (Intercept) 10.642 30.372 0.3504 0.73509 x1 100.24 4. 895 20.478 3.3833-08 Number of observations : 10, Error degrees of freedom : 8 Root Mean Squared Error : 44.5 R-squared : 0.981 , Adjusted R-Squared 0.979 F-statistic vs . constant model: 419, p-value = 3.38-08 (a) Is the relationship between voltage and current statistically significant at the a = 0.05 level? What is the test statistic you would use to decide? (b) Is there significant evidence to reject that the intercept is 0? (c) What proportion of the variation in current is explained by voltage? (d) Write the 95% confidence interval for the resistance of the resistor.

Explanation / Answer

All answers below:

a. Yes, there is . p-value is the test statistic that decides whether it is signficant. If p=value is less
than .05 then it is significant

b. No. Since it' p-value is more than .05 there isn't significant eveifence to reject that the intercept is 0

c. This is 98.1% and is the definition of Rsquare

d. The 95% CI is given by BetaCoefficeint +/- Z*SE = 100.24 + 1.96*3.895 = 90.61 to 107.87

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.