Call: Im(formula = Repair. Costs ~ Miles. Driven, data = Dataset) Residuals: Min 1Q Median 3Q Max -247.81 -144.68 29.07 64.89 343.86 Coefficients: Estimate (Intercept) 72.807562 Miles. Driven 0.009792 Std. Error 89.456108 0.001601 t value 0.814 6.117 Pr>It) 0.432 5.2e-05 *** Signif. codes: 0) ' 0.001 '**'0.01 '*' 0.05'.'0.1''1 Residual standard error: 180.3 on 12 degrees of freedom Multiple R-squared: 0.7572, Adjusted R-squared: 0.7369 F-statistic: 37.42 on 1 and 12 DF, p-value: 5.2e-05 Using these regression results, what is the estimated repair cost on a car that has 74,000 miles on it?

797.42

Step-by-step explanation:

Given the Output of a linear regression data using R;

From the result table;

Intercept = 72.807562

Gradient or slope = 0.009792

General form of a linear equation:

y = mx + c

Where y = response variable ; x = explanatory variable ; c = intercept and m = gradient / slope

Hence, the regression equation becomes :

y = 0.009792x + 72.807562

Using these regression results, what is the estimated repair cost on a car that has 74,000 miles on it?

x = 74,000

y = 0.009792(74000) + 72.807562

y = 724.608 + 72.807562

y = 797.42

The estimated repair cost on a car that has 74,000 miles on it is $797.42.

Step-by-step explanation:

The statement: Im(formula = Repair.Costs ~ Miles.Driven, data = Dataset) implies that the variable "Repair.Costs" is the dependent variable and the variable "Miles.Driven" is the independent variable.

From the provided data the regression equation formed is:

Compute the estimated repair cost on a car that has 74,000 miles on it as follows:

Thus, the estimated repair cost on a car that has 74,000 miles on it is $797.42.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4