Please show all the work.

In 2002, Consumer Reports listed the price (in dollars) and power (in cold cranking amps) of auto batteries. We want to know if more expensive batteries are generally better in terms of starting power. Here is applicable computer output: Dependent variable is: Power R-squared = 25.2% s = 116.00 with 33 - 2 = 31 degrees of freedom Variable Coefficient SE (Coefficient) t-ratio P-value Intercept 384.594 93.55 4.11 0.0003 Cost 4.14649 1.282 How many batteries were tested ? What is the equation of the LSRL in context? What is the value of the t-test statistic ? 8 What is the p-value for a linreg t-test ? Is there evidence of an association between cost and cranking power of auto batteries? Test an appropriate hypothesis and state your conclusion. If you find an association in question "d", is it a strong association? Explain. Create and interpret a 90%% confidence interval for the slope of the true line