A linear regression was performed on a resistor, where the voltage (X) was varie

Question

A linear regression was performed on a resistor, where the voltage (X) was varied and current (Y) was measured. The results from the linear regression in MATLAB are below.

(a) Is the relationship between voltage and current statistically significant at the = 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.

Linear regression model: y1+ x1 Estimated Coefficients: Estimate SE tStat pValue (Intercept) x1 10.642 100.24 30.3720.3504 4.89520.478 0.73509 3.3833e-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 3.38e-08

Explanation / Answer

a) yes, relationship between voltage and current statistically is significant because p value is less than 0.05 and test statistic is 20.478

b) P value of intercept is greater than 0.05, so there is no significant evidence to reject that the intercept is 0

c) sincd R squared is 0.981, so 0.981  proportion of the variation in current is explained by voltage

d) Margin of error = (2.26*4.895) = 11.0733

95% Interval

(100.24-11.0733, 100.24+11.0733)

= 89.17, 111.31

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